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s ago. The reduced book value now stands at $60,000. A new model of the machine is currently available for $139,350. The new machine has a useful life of five years, at which time it will be sold for $20,000. Using the new machine, the expected unit sales of the car jacks would be 6,000 car jacks per annum. The estimated unit selling price is $35 for the first year. As a result of the COVID-19 pandemic in Singapore, JJ is experiencing labour shortage. JJ will have to transfer workers from another department to the new project. These workers earn a contribution of $2 per direct labour hour in their original department. The fixed overhead cost would be $2.20 per hour and this is expected to remain unchanged. JJ’s products are being sold to a distributor. The sales agreement allows the selling price to rise at the rate of 10 percent per year after the first year. The unit cost price, except for fixed costs, is expected to increase at the same rate as the selling price. Working capital requirements are expected to be $15,000 in the first and second years, increasing to $18,000 in the third year and is expected to remain at this level till the end of the project. All the amounts of working capital will be recovered at the time of project termination. The new project uses cutting-edge technology and so enjoys a tax holiday from the authorities. The drawback of using this high-risk approach is that the new project requires a minimum return of 27 percent per annum. Required: Identify the relevant cash flows for the decision as to whether JJ should proceed to purchase the new machine. Note: To show all workings with accompanying explanations. Word count requirement: 800

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re generally worth it.
She can paint as many as 100 per year. The total cost is

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of time, but
are generally worth it.
She can paint as many as 100 per year. The total cost is

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t income of $93,500 and she contributed $9,800 to her Registered Retirement Savings Plan. (Assuming she has the RRSP contribution room from working in 2019). She was awarded a year-end bonus of $10,000, all of which was payable in February 2021. [The bonus was received on February 10, 2021 – consider if the bonus should be included in employment income in 2020 or 2021 (cash or accrual basis)].
For 2020, her employer withheld maximum CPP ($2,898) and EI ($856) contributions.
Tanya lived with her family in Lethbridge, Alberta. Other information pertaining to 2020 is as follows:
Tanya’s spouse is 47 years old and his employment income for the year totaled $45,500.
Bob and Tanya have a daughter, Tammy, who is 3years old in 2020. Tammy was taken care of while Bob and Tanya worked during 2020 by Bob’s mother who is currently unemployed and retired.
The family’s medical expenses for the year, all of which were paid by Bob, totaled $3,355. Of this amount, $300 was reimbursed by Tanya’s employer.
During the year, Tanya made cash donations to registered Canadian charities in the amount of $3,500 and Bob made $200. (Consider whether Bob will have higher donation credit if he transferred the $200 donation credit to Tanya or if he should use the credit on his return)
During the year, Bob made contributions to federal political parties totaling $1,150.
Both Tanya and Bob earned rent income from their house basement rented out during 2020. The details of the rent activities are as follows:
Rent income $7,500
Repairs (Bathroom and Kitchen) $1,080
Utilities (100% for the basement) $1,320
Advertising the basement $150
No Capital Cost Allowance is planned as they would like to maintain the entire house as a principal residence in the future. The net rental income will be shared jointly (50%) on their tax return in 2020.
Required: Use the above information to determine Tanya and Bob’s
Net income for tax purposes
Federal tax payable before tax credit (Gross tax)
Tax credits available
Federal tax payable for 2020. (Do not consider provincial tax payable)
Federal Tax Bracket
Tax Bracket 2020 Tax Rate 2020 Tax Bracket 2021 Tax Rate 2021
Up to $48,535 15% Up to $49,020 15%
$48,536 to $97,069 20.50% $49,021 to $98,040 20.50%
$97,070 to $150,473 26% $98,041 to $151,978 26%
$150,474 to $214,368 29% $151,979 to $216,511 29%
$214,369 and over 33% $216,512 and over 33%

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5.The cost of renting a car is $46 /wk plus $0.25 /mi traveled during that week. An equation ...

esent the cost would be y=46+0.25x , where x is the number of miles traveled.
a. What is your cost if you travel 59 mi?
The cost is $
43.26
.
b. If your cost was $66.25 , how many miles were you charged for traveling?
You were charged for traveling
66.51
miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is
Number

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nts pay fees in addition to their tuition.
Using the code provided below as a starting point, write a conditional statement that determines how much a student will pay in fees.
• Students registered for 1 – 4 hours pay $843 in student fees.
• Students enrolled in 5 or more hours pay $993 in student fees.
The program should also display a message to students who have not enrolled in any classes: “You are not enrolled in any classes right now.”
NOTE: You must use the variables included in the code snippet get credit for this question.
import java.util.Scanner;
class Main {
public static void main(String[] args) {
int creditHours;
int fees = 0;
Scanner myScanner = new Scanner(System.in);
System.out.print("Please enter the number of credit hours you are taking this term: "); creditHours = myScanner.nextInt();
myScanner.close();
//YOUR CODE GOES HERE
} }
Break the Problem Down
Answer the following questions, then use the information to write your code.
What are the inputs in the pseudocode above? (INPUT)
What are we storing in the pseudocode above? (MEMORY)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 2: Block Tuition
The cost of KSU’s tuition is determined by the number of credit hours a student enrolls in.
Using the chart below, write a conditional statement (ONLY) that sets the value of a tuition variable to what that student will owe.
NOTE: For this problem you can assume that all students are enrolled in a minimum of 12 hours.
Number of Credit Hours 12
13
14
15 or more
Cost (in USD) $2224 $2410 $2595 $2718
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 3: Class Standing
Undergraduate students will be classified based on the number of earned institutional hours.
• Freshman:
• Sophomore:
• Junior:
• Senior:
0 - 29 hours
30 - 59 hours 60 - 89 hours
90 hours or more
Write a complete program that prompts the user for the number of credit hours they have completed. Write a conditional statement that prints out their class standing based on the information they provided.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Please enter the number of credit hours you have earned: 29 You are a freshman.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 4: Maximum Course Load
KSU’s policy on maximum course loads during the academic year is as follows:
A student in good standing may register for up to 18 hours. The Registrar may approve up to 21 hours for students with an institutional GPA of 3.5 or higher. Students
Write a complete program that prompts the user for the number of credit hours they have signed up for. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy. Once the maximum number of hours is determined, display a message to the user that states “You may enroll in X credit hours this semester.” where X is the number of credit hours determined by your program.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Please enter your GPA: 3.75
You may enroll in up to 21 credit hours this semester.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java
Problem 5: First-Year Seminar
All first-year full-time students entering Kennesaw State University with fewer than 15 semester hours are required to complete a First-Year Seminar. Students with 30 or more credit hours are not eligible to enroll in a First-Year Seminar.
Write a complete program that prompts the user for the number of credit hours they have completed. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy.
When you run your program, it should display one of the following messages to the screen:
• You must enroll in First-Year Seminar.
• You do not have to take First-Year Seminar.
• You are not eligible for First-Year Seminar.
Sample Output
Break the Problem Down
Answer the following questions, then use the information to write your code.
What do we need to store? (MEMORY)
Enter the number of credit hours have you completed: 30
You are not eligible for First-Year Seminar.
What are the inputs in the problem statement above? (INPUT)
What calculations are needed? (PROCESSES)
What needs to be displayed to the user?
(OUTPUT)
How many conditions are there in your problem statement?
What are they?
Does something need to happen if the condition(s) are not met?
What type of conditional statement do you need?
Solution in Java

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ion in m for the cost of:
a) FIVE muffins _________________
b) SIX cupcakes ____________________

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s him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Using the information in the problem, write the constraints. Let x represent number of bookcases, and y represent number of TV stands.

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ters established the following price – demand function:
p(x) = 10 – 0,001x, where p(x) is the wholesale price in dollars at which x thousand computers can be sold.
Total cost (in dollars) of producing x items is given by C(x) = 7000 + 2x.
A) Find the revenue function and state its domain.
B) Find the marginal revenue function. Find R´(4000) and R´(6000). Interpret the results.
C) Evaluate the approximate revenue and exact revenue of producing 101-th notebook.
D) Find the profit function
E) Find the marginal profit function.
F) Evaluate the approximate profit and exact profit of producing 101-th notebook.
G) Find P´(5000) and P´(7000). Interpret the results.

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t you have in stocks besides unlimited supply of water (0% alcoholic content, 0 in cost):
Beer ;Alcohol content; Cost per gallon; In stock (gallons)
Low; 0.25%; 0.55; 500
Light; 2.50%; 0.65; 500
Heavy; 4.50%; 0.80; 500
Dark; 6.00%; 0.75; 500
What is the mix of existing beer (and water) to make 1500 gallons of 3 percent beer with the minimum cost?
1. Show the mathematical formulation of the optimization problem (decision variables, objective, and constraints)
2. What is the optimal mix of the existing beer (and water) to meet the order requirement?
3. What is the minimum cost incurred?
4. If the optimal mix maintains its pattern, without re-solving the problem, construct the new optimal mix of existing beer (and water) to make 1600 gallons of the 3 percent beer

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11.Alfonso and Gracie have decided to join a gym! Gracie found a gym that costs $20 to join and ...

s $4 per class. Alfonso found a gym that costs $34 to join but only $2 per class.
Solve the system algebraically to determine the number of classes at which the gyms would cost both Gracie and Alfonso the same amount.

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price, the number sold per week increases by 20. The cost of smoothies is given by
C(x)= 25+ 0.12x + 0.001x^2
Determine the MARGINAL PROFIT when 200 smoothies are sold.

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t of $5000. What is the NPV of this project if the required rate of return is 10%?

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payments cost $420 per month and gasoline, oil, and routine maintenance cost $0.52 per mile.
a. Find a linear function f that gives the annual cost of driving this car x miles
b. What are the domain and range of this function?

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15.1. A leg of lamb cost $14.88 per kilogram before cooking and the percentage of yield is 83% what is ...

the cost per kilogram of the edible of the lamb
Answer with 2 decimal place
2. A beef tenderloin costs $34.17 per kilogram before trimming and the percentage of yield is 80%. What is the cost per kilogram of the usable portion of the beef tenderloin?
(Answer with 2 decimal places)
3. The cost of a portion of roast sirloin of beef with potatoes and vegetables is $4.70. If we desire a 41% food cost, what should the menu price be? Round your answer to the nearest penny.
(Answer with 2 decimal places)
4. The cost of a portion of grilled halibut with boiled potatoes & vegetables is $4.69. If we desire a 27% food cost, what should the menu price be? Round your answer to the nearest penny.
(Answer with 2 decimal places)
5. The cost of a caesar salad is $2.38. If we desire a 31% food cost, what should the menu price be? Round your answer to the nearest penny.
(Answer with 2 decimal places)
6. The cost of a pulled pork sandwich with coleslaw and fries is $3.14. If we desire a 37% food cost, what should the menu price be? Round your answer to the nearest penny.
(Answer with 2 decimal places)
7. The cost of a portion of deep fried chicken with corn fritters and fries is $4.55. If we set a menu price of $15.75, what would the food cost percentage be?
(Answer with 2 decimal places)
8. The cost of a veal piccata complete with penne pomodoro & vegetables is $6.03. If we set a menu price of $18.50, what would the food cost percentage be?
(Answer with 2 decimal places)
9. The cost of a portion of beef goulash complete with spaetzle and vegetables is $5.82. If we set a menu price of $15.50, what would the food cost percentage be?
(Answer with 2 decimal places)

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e was $53.50. Assuming that the rate increase per year is constant, find a linear cost function to model the increase in cable rates. Let x=
the number of years after 1990, and C(x)
equal the cable TV charges.

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function
C = 65t + 30
where t is the time in months.
(a) Calculate the gym membership cost over a six month period.
(b) Sketch the graph of the function C = 65t + 30 for t ≥ 0.
(c) Calculate the time, t, in months, when the total cost reaches 290 AUD.
In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in
Paolo’s Gym, however the monthly fee is lower at 30 AUD per month.
(d) Determine the number of months it takes for the total cost to be less by
attending Nicolo’s Gym in comparison to Paolo’s Gym.

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trip will the include the plane ticket fee of $2500 plus $100 for each dive she does. Show this relationship using multiple representations (Input-Output Diagram, Table of Values, Graph). *

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van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex
and Esther are identical.
Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the
market.
a) Given this information, which couple has the higher opportunity cost of home produced goods?
Explain how you determined this. You can add a diagram if that helps, but you are not required
to include one.
b) Can you determine which couple has the higher utility? Explain why or why not.
Suppose now that value of market production for both Alex and Esther increased to $12/per hour.
c) Explain the change in the household joint production possibility frontier generated by this
change.
d) Explain what would happen to each couple’s choice of both household and market produced
goods, using an analysis by means of income and substitution effects.
e) What changes in time allocation for each couple that would be necessary to produce and
consume this new bundle? Briefly explain your reasoning.

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(Lychee surprise, Kumquat ripple and Avocado 99). Three salespersons Joan, David and Tony each sold the following units, in 100 litre tubs, as shown below
Lychee surprise Kumquat Ripple Avocado 99
Joan 12 10 20
David 16 12 8
Tony 20 16 10
The total sales of each salesperson were £9,800, £8000, and £10,300 respectively. Calculate the cost of each type of ice-cream.

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22.. Noah’s bedroom is 15 feet wide and 18 feet long. He wants to put a new ...

f the carpet he picks up at Home Depot costs $2.35/yd2, how much will it cost him to carpet his room?
a) What are the dimensions of the room in yards?
b) Calculate the area of the room.
c) How much will it cost to put new carpet in Noah’s room?

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23.You make very good pizzas, so you decide to sell your pizzas on campus. Since the set up for making ...

pizza is already available to you, the only cost involved is that of making the pizza, which you calculate to be $ 5 per pizza.
a. What is the cost function?
If 10 pizzas are available in a day, the market offers a price of $ 11 per pizza. If 50 pizzas are available in a day, the market offers a price of $ 7 per pizza.
b. Assuming a linear relationship between price and quantity, find the price that the market offers as a function of the number of pizzas available. You start selling the pizzas.
c. What is revenue as a function of the quantity you sell? What is the profit function?
d. What quantity will maximize your profit? Call it q ∗ 1. What is the maximum profit?
e. If somebody is already supplying 5 pizzas every day, What is the maximum profit that you can make?

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24.the Michael family wish to purchase a spa pool and install this on the page SEO of their house they ...

have decided on the pool in the picture above the pool costs 6999 plus 219 for delivery it will cost 320 plus GST 15% to get an electrician to install a special plug for the pool the pool cover costs 479 however Mr Michael has negotiated a 20% discount the family have been given approval for a loan of up to 6999 Loan the bank to pay for the pool the lawn has an interest rate of 5.45% the loan & interests need to be repaid by the end of 12 months the family have saved 1000 to cover the cost of delivery installation and the cover they can spare one-tenth of their weekly income to repay the loan.can the Michael family afford to buy the spa pool you must show all working and state what you are calculating at each step

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ck buyer financed $20,000 at the low interest rate instead of paying $18,000 cash (after the $2,000 rebate).
Required:
What was the effective rate of interest on the loan if the forgone cash rebate is treated as part of the cost of financing? (The 2.9% interest rate is a monthly compounded nominal rate.)

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26.Kamal sells 240 ice creams for a total of £640 of the ice creams he sells are large. The cost ...

f each large ice cream he sells is £3.80
All the other ice creams he sells are small.
He sells each small ice cream for the same cost.
Work out the cost of each small ice cream.

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ft a budget proposal in order for them to go and seek funding. The management team supplies you with the following information.
The company will not generate any income for the first 3 months of the year (jan - march) on the 4th month the company will generate sales of R500 000.00 thereafter the company sales will increase by 10% until December.
Salaries will be R85 000.00 a month from the beginning of the year. There will be increase of 7% which will only be applicable as if the sixth month. Staff bonus will be payable in December and will amount R28 000
Stationary printing expenses are estimated to be R10 000. 00( vat excluded) every month.
Telephone expenses in January are expected to be R5 500.00(vat excluded) and will increase by 5% every month.
Rent will be payable from the 3rd month at a cost of R 20 000.00. There will be decrease of 5% from August to the end if the year and the company will be given a rental discount of 10% in December.
Return on the investment will be as follows: april R90 000.00 August and September will be R80 000.00 december R150 000.00 all returns will be taxable according appropriate tax standards.
Draw a cash budget for XYP (pty) Ltd for the year ending 31 December 2018 (30)

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logical developments that made it possible for people to live far from where they worked. (3) Early in this century, most people were limited in where they could live by the need to find transportation to work. (4) This meant that most had to live in the cities near where the jobs were. (5) Because there were relatively few automobiles and highways, people walked or used public transportation to get to work and go shopping. (6) This encouraged the concentration of population, and central cities served as the commercial and cultural core of urban areas. (7) By the 1940s and 1950s, the increasing prosperity of many Americans, along with the automobile, made it possible for them to live farther from work and opened up suburban life to middle-class Americans.
(8) In addition, government policy was also a factor contributing to suburbanization. (9) First of all, the government paid 80 percent of the cost of developing the interstate highway system. (10) With cars and high-speed highways, people can now live far from where they work and shop. (11) In sprawling cities such as Los Angeles, for example, it is common to live fifty or more miles from where you work. (12) Also, government agencies made available federally guaranteed mortgage loans for the purchase of new homes. (13) Because land outside of the cities was both inexpensive and available, this is where much of the construction took place.
A1. In general, the major details of this passage are

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29.For a school project in a pottery class, you are to make a 500ml-vase that has a shape of either ...

ilateral triangle base or square base prism. The FRONT and BASE area of the vase will then be painted by a famous artist who charges $0.05 per square centimeter based on the surface area, and you are responsible for the cost of the paint work.
Before making the vase, you think about optimization learned in math class, and you would like to come up with the optimal shape and dimensions for your vase so that you can minimize the cost. Note: 1mL = 1 cm^3

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chases frozen turkeys at a constant wholesale price of $1/turkey, which is its full marginal cost for supplying turkeys. During July, only a small number of wealthy people are interested in buying turkeys in Pilgrim. Their demand curve is P = 10 – .02 Q, where P is Wegboys’ retail price for turkeys during the month and Q is the quantity of turkeys purchased. The demand curve for these wealthy people is constant – it is the same curve in both November and July. During November, a large number of less wealthy people enter the market to purchase turkeys for Thanksgiving. Their demand curve for Wegboys’ turkeys is
P = 4 – .0005Q. In other months of the year, they do not purchase turkeys at any price.
a. (5 points) What price should Wegboys charge in July to maximize its profits? Calculate its profits from turkey sales.
b. (5 points) Demonstrate that Wegboys can earn a higher profit if it lowers its retail price for turkeys during November (you can do this without finding the optimal price). Explain the basic economic intuition.

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eter for this particular cable?

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ve 2 times as many kilograms of peanuts as of sunflower seeds.
-Peanuts cost $15/kg and sunflower seeds cost $8/kg.
-Boris has $152 to spend.
If you let x=kilograms of peanuts andy=kilograms of sunflower seeds, write a system of equations with elimination that could be used to solve Boris' problem.

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m 2
After graduating from AUD, Salman plans to start a book publishing company in the Media City. He did some research and found that the printer will cost Dh 230,000. He estimated that the variable cost per book is Dh 170 and the selling price is Dh 390.
a. How many books must he sell to break even? Also calculate the breakeven in dirham.
b. In addition to the costs given above, if he wants to pay himself a salary of Dh 15,400 per year, what is her breakeven point in units and dirham?
c. In the first three months of his business, he sold 400 books. Suddenly the printer breaks down. He spent Dh 25000 to fix the printer. In addition to 400 books sold, how many more books she should sell to breakeven? Assume that this part of the question is independent, and she does not draw any salary.
Problem 8
A furniture store makes tables and chairs from plywood and glass. The store has 30 units of plywood, 24 units of glass. Each table requires 7 units of plywood three units of glass, whereas each chair requires three units of plywood and two units of glass. The demand for chairs is between 2 and 4. The ratio between the table and chair is at least 1 to 2. A table earns $225 in profit and a chair, $145. The store also wants a minimum profit of $5000. The store wants to determine the number of tables and chairs to make in order to maximize profit. Formulate a linear programming model for this problem

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.Assume that the hourly operating cost for the airplane is normally distributed. If 11% of the hourly operating costs are 1800$ or less , what is the standard deviation of hourly operating cost ?

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£49.
What does the 5th pair cost ?

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rued when you go from making 1 chai tea latte a day to 40 chai tea lattes a day. (Hint: relationship between marginal cost and total cost)
2. Suppose that C(x) = -0.01x + 5 represents the daily cost of heating the doughnut shop, in dollars per day, where x is time in days and x = 0 corresponds to January 1, 2020. Find the total cost of heating the shop for the first two weeks of January, and find the average cost to heat the shop each day for the first two weeks of January.

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39.The cost for making x cups of coffee is given by C(x) = (5x) . 1/4 a. What is the cost of ...

9 cups of coffee? Round to 2 decimal places.
b. What is the marginal cost of making the 29 cup of coffee? Round to 2 decimal places.

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40.Two car owners are in need of car repairs. Darnel will need to pay the mechanic $10 per hour for ...

or, plus $20 to cover the cost of new parts. Troy will need to pay $5 for parts and $15 per hour for labor.
Depending on how long each repair takes, the two jobs might end up costing the same amount. How much time would that take, and how much would it cost? Express your answer as an ordered pair (x, y), where the x-axis is the number of hours and the y-axis is the cost.

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e. During the end of season sale, the patio set is marked down 20% A) The end of season sale price is: $ b) The rate of markup based on cost is _%

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42.You want to purchase a new car in 7 years and expect the car to cost $81 comma 000. Your ...

ers a plan with a guaranteed APR of 5.5 % if you make regular monthly deposits. How much should you deposit each month to end up with $81 comma 000 in 7 years?
You should invest $
nothing each month.

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achine B. The nature of the machines makes their cost functions differ.
Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are required?
The minimum total cost is achieved when
___ units are produced on machine A and
___ units are produced on machine B

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west cost per minute?
a 200 minutes for $24.50
b 550 minutes for $68.00
c 700 minutes for $80.25
d 850 minutes for $99.50

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45.The oil for both tanks cost $910.23 not including propane. It was a total of 367 gallons. Both tanks ...

s hold 275 gallons. The tank for the main house was a quarter filled and the in law suite was filled halfway. The price is $2.48 a gallon. I need to deduct 25% of the price paid for the in-law tank only. The oil company does not have the gallons for each tank they used.

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tal-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
Upper R left parenthesis x right parenthesis equals 1300 x minus x squared, Upper C left parenthesis x right parenthesis equals 3000 plus 30 x
The total profit, P(x)equals
negative x squared plus 1270 x minus 3000.
(Simplify your answer. Do not factor.)

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bers are matched is 2 million dollars. The tickets are $2 each.
1) How many different ticket possibilities are there?
2) If a person purchases one ticket, what is the probability of winning? What is the probability of losing?
3) Occasionally, you will hear of a group of people going in together to purchase a large amount of tickets. Suppose a group of 30 purchases 6,000 tickets.
a) How much would each person have to contribute?
b) What is the probability of the group winning? Losing?
4) How much would it cost to “buy the lottery”, that is, buy a ticket to cover every possibility? Is it worth it?

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48.I have bought 25M of ribbon for £2.15 I will cut the ribbon into 15cm how much from the £2.15 ...

uld one piece of 15cm of ribbon cost me

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which of the following dialog boxes?
Project Options: Scheduling
WBS Code Definition
Assignment Information
Custom Fields

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a program designed to provide a decent standard of living to all Americans by spreading the nation’s wealth among the people.
Long proposed capping personal fortunes at $50 million each (roughly $600 million in today's dollars) through a restructured, progressive federal tax code and sharing the resulting revenue with the public through government benefits and public works. In subsequent speeches and writings, he revised his graduated tax levy on wealth over $1 million to cap fortunes at $5 - $8 million (or $60 - $96 million today).
The full text of this speech, as printed in Long's official Share Our Wealth pamphlet (see right), appears below.
“EVERY MAN A KING”
Share Our Wealth Radio Speech by Senator Huey P. Long, of Louisiana, February 23, 1934
I
s that a right of life when the young children of this country are being reared into a sphere which is more owned by 12 men than it is by 120,000,000 people?”
Ladies and Gentlemen: —
I have only 30 minutes in which to speak to you this evening, and I, therefore, will not be able to discuss in detail so much as I can write when I have all of the time and space that is allowed me for the subjects, but I will undertake to sketch them very briefly without manuscript or preparation, so that you can understand them so well as I can tell them to you tonight.
I contend, my friends, that we have no difficult problem to solve in America, and that is the view of nearly everyone with whom I have discussed the matter here in Washington and elsewhere throughout the United States—that we have no very difficult problem to solve.
It is not the difficulty of the problem which we have; it is the fact that the rich people of this country—and by rich people I mean the super-rich—will not allow us to solve the problems, or rather the one little problem that is afflicting this country, because in order to cure all of our woes it is necessary to scale down the big fortunes, that we may scatter the wealth to be shared by all of the people.
We have a marvelous love for this Government of ours; in fact, it is almost a religion, and it is well that it should be, because we have a splendid form of government and we have a splendid set of laws. We have everything here that we need, except that we have neglected the fundamentals upon which the American Government was principally predicated.
How many of you remember the first thing that the Declaration of Independence said? It said: "We hold these truths to be self-evident, that there are certain inalienable rights for the people, and among them are life, liberty, and the pursuit of happiness;" and it said further, "We hold the view that all men are created equal."
Now, what did they mean by that? Did they mean, my friends, to say that all men are created equal and that that meant that any one man was born to inherit $10,000,000,000 and that another child was to be born to inherit nothing?
Did that mean, my friends, that someone would come into this world without having had an opportunity, of course, to have hit one lick of work, should be born with more than it and all of its children and children's children could ever dispose of, but that another one would have to be born into a life of starvation?
That was not the meaning of the Declaration of Independence when it said that all men are created equal or "That we hold that all men are created equal."
Nor was it the meaning of the Declaration of Independence when it said that they held that there were certain rights that were inalienable—the right of life, liberty, and the pursuit of happiness.
Is that right of life, my friends, when the young children of this country are being reared into a sphere which is more owned by 12 men than it by 120,000,000 people?
Is that, my friends, giving them a fair shake of the dice or anything like the inalienable right of life, liberty, and the pursuit of happiness, or anything resembling the fact that all people are created equal; when we have today in America thousands and hundreds of thousands and millions of children on the verge of starvation in a land that is overflowing with too much to eat and too much to wear?
I do not think you will contend that, and I do not think for a moment that they will contend it.
Now let us see if we cannot return this Government to the Declaration of Independence and see if we are going to do anything regarding it. Why should we hesitate or why should we quibble or why should we quarrel with one another to find out what the difficulty is, when we know that the Lord told us what the difficulty is, and Moses wrote it out so a blind man could see it, then Jesus told us all about it, and it was later written in the Book of James, where everyone could read it?
I refer to the Scriptures, now, my friends, and give you what it says not for the purpose of convincing you of the wisdom of myself, not for the purpose, ladies and gentlemen, of convincing you of the fact that I am quoting the Scriptures means that I am to be more believed than someone else; but I quote you the Scripture, or rather refer you to the Scripture, because whatever you see there you may rely upon will never be disproved so long as you or your children or anyone may live; and you may further depend upon the fact that not one historical fact that the Bible has ever contained has ever yet been disproved by any scientific discovery or by reason of anything that has been disclosed to man through his own individual mind or through the wisdom of the Lord which the Lord has allowed him to have.
But the Scripture says, ladies and gentlemen, that no country can survive, or for a country to survive it is necessary that we keep the wealth scattered among the people, that nothing should keep the wealth scattered among the people, that nothing should be held permanently by any one person, and that 50 years seems to be the year of jubilee in which all property would be scattered about and returned to the sources from which it originally came, and every seventh year debt should be remitted.
Those two things the Almighty said to be necessary—I should say He knew to be necessary, or else He would not have so prescribed that the property would be kept among the general run of the people, and that everyone would continue to share in it; so that no one man would get half of it and hand it down to a son, who takes half of what was left, and that son hand it down to another one, who would take half of what was left, until, like a snowball going downhill, all of the snow was off of the ground except what the snowball had.
I believe that was the judgment and the view and the law of the Lord, that we would have to distribute wealth ever so often, in order that there could not be people starving to death in a land of plenty, as there is in America today.
We have in America today more wealth, more goods, more food, more clothing, more houses than we have ever had. We have everything in abundance here.
We have the farm problem, my friends, because we have too much cotton, because we have too much wheat, and have too much corn, and too much potatoes.
We have a home loan problem, because we have too many houses, and yet nobody can buy them and live in them.
We have trouble, my friends, in the country, because we have too much money owing, the greatest indebtedness that has ever been given to civilization, where it has been shown that we are incapable of distributing the actual things that are here, because the people have not money enough to supply themselves with them, and because the greed of a few men is such that they think it is necessary that they own everything, and their pleasure consists in the starvation of the masses, and in their possessing things they cannot use, and their children cannot use, but who bask in the splendor of sunlight and wealth, casting darkness and despair and impressing it on everyone else.
"So, therefore," said the Lord in effect, "if you see these things that now have occurred and exist in this and other countries, there must be a constant scattering of wealth in any country if this country is to survive."
"Then," said the Lord, in effect, "every seventh year there shall be a remission of debts; there will be no debts after 7 years." That was the law.
Now, let us take America today. We have in America today, ladies and gentlemen, $272,000,000,000 of debt. Two hundred and seventy-two thousand millions of dollars of debts are owed by the various people of this country today. Why, my friends, that cannot be paid. It is not possible for that kind of debt to be paid.
The entire currency of the United States is only $6,000,000,000. That is all of the money that we have got in America today. All the actual money you have got in all of your banks, all that you have got in the Government Treasury, is $6,000,000,000; and if you took all that money and paid it out today you would still owe $266,000,000,000; and if you took all that money and paid again you would still owe $260,000,000,000; and if you took it, my friends, 20 times and paid it you would still owe $150,000,000,000.
You would have to have 45 times the entire money supply of the United States today to pay the debts of the people of America and then they would just have to start out from scratch, without a dime to go on with.
So, my friends, it is impossible to pay all of these debts, and you might as well find out that it cannot be done. The United States Supreme Court has definitely found out that it could not be done, because, in a Minnesota case, it held that when a State has postponed the evil day of collecting a debt it was a valid and constitutional exercise of legislative power.
Now, ladies and gentlemen, if I may proceed to give you some other words that I think you can understand—I am not going to belabor you by quoting tonight—I am going to tell you what the wise men of all ages and all times, down even to the present day, have all said: That you must keep the wealth of the country scattered, and you must limit the amount that any one man can own. You cannot let any man own §300,000,000,000 or $400,000,000,000. If you do, one man can own all of the wealth that the United States has in it.
Now, my friends, if you were off on an island where there were 100 lunches, you could not let one man eat up the hundred lunches, or take the hundred lunches and not let anybody else eat any of them. If you did, there would not be anything else for the balance of the people to consume.
So, we have in America today, my friends, a condition by which about 10 men dominate the means of activity in at least 85 percent of the activities that you own. They either own directly everything or they have got some kind of mortgage on it, with a very small percentage to be excepted. They own the banks, they own the steel mills, they own the railroads, they own the bonds, they own the mortgages, they own the stores, and they have chained the country from one end to the other until there is not any kind of business that a small, independent man could go into today and make a living, and there is not any kind of business that an independent man can go into and make any money to buy an automobile with; and they have finally and gradually and steadily eliminated everybody from the fields in which there is a living to be made, and still they have got little enough sense to think they ought to be able to get more business out of it anyway.
If you reduce a man to the point where he is starving to death and bleeding and dying, how do you expect that man to get hold of any money to spend with you? It is not possible.
Then, ladies and gentlemen, how do you expect people to live, when the wherewith cannot be had by the people?
In the beginning I quoted from the Scriptures. I hope you will understand that I am not quoting Scripture to you to convince you of my goodness personally, because that is a thing between me and my Maker; that is something as to how I stand with my Maker and as to how you stand with your Maker. That is not concerned with this issue, except and unless there are those of you who would be so good as to pray for the souls of some of UK. Rut the Lord gave His law, and in the Book of James they said so, that the rich should weep and howl for the miseries that had come upon them; and, therefore, it was written that when the rich hold goods they could not use and could not consume, you will inflict punishment on them, and nothing but days of woe ahead of them.
Then we have heard of the great Greek philosopher, Socrates, and the greater Greek philosopher, Plato, and we have read the dialogue between Plato and Socrates, in which one said that great riches brought on great poverty, and would be destructive of a country. Read what they said. Read what Plato said; that you must not let any one man be too poor, and you must not let any one man be too rich; that the same mill that grinds out the extra rich is the mill that will grind out the extra poor, because, in order that the extra rich can become so affluent, they must necessarily take more of what ordinarily would belong to the average man.
It is a very simple process of mathematics that you do not have to study, and that no one is going to discuss with you.
So that was the view of Socrates and Plato. That was the view of the English statesmen. That was the view of American statesmen. That was the view of American statesmen like Daniel Webster, Thomas Jefferson, Abraham Lincoln, William Jennings Bryan, and Theodore Roosevelt, and even as late as Herbert Hoover and Franklin D. Roosevelt.
Both of these men, Mr. Hoover and Mr. Roosevelt, came out and said there had to be a decentralization of wealth, but neither one of them did anything about it. But, nevertheless, they recognized the principle. The fact that neither one of them ever did anything about it is their own problem that I am not undertaking to criticize; but had Mr. Hoover carried out what he says ought to be done, he would be retiring from the President's office, very probably, 8 years from now, instead of 1 year ago; and had Mr. Roosevelt proceeded along the lines that he stated were necessary for the decentralization of wealth, he would have gone, my friends, a long way already, and within a few months he would have probably reached a solution of all of the problems that afflict this country today.
But I wish to warn you now that nothing that has been done up to this date has taken one dime away from these big fortune-holders; they own just as much as they did, and probably a little bit more; they hold just as many of the debts of the common people as they ever held, and probably a little bit more; and unless we, my friends, are going to give the people of this country a fair shake of the dice, by which they will all get something out of the funds of this land, there is not a chance on the topside of this God's eternal earth by which we can rescue this country and rescue the people of this country.
It is necessary to save the government of the country, but is much more necessary to save the people of America. We love this country. We love this Government. It is a religion, I say. It is a kind of religion people have read of when women, in the name of religion, would take their infant babes and throw them into the burning flame, where they would be instantly devoured by the all-consuming fire, in days gone by; and there probably are some people of the world even today, who, in the name of religion, throw their own babes to destruction; but in the name of our good government, people today are seeing their own children hungry, tired, half-naked, lifting their tear-dimmed eyes into the sad faces of their fathers and mothers, who cannot give them food and clothing they both need, and which is necessary to sustain them, and that goes on day after day, and night after night, when day gets into darkness and blackness, knowing those children would arise in the morning without being fed, and probably go to bed at night without being fed.
Yet in the name of our Government, and all alone, those people undertake and strive as hard as they can to keep a good government alive, and how long they can stand that no one knows. If I were in their place tonight, the place where millions are, I hope that I would have what I might say—I cannot give you the word to express the kind of fortitude they have; that is the word—I hope that I might have the fortitude to praise and honor my Government that had allowed me here in this land, where there is too much to eat and too much to wear, to starve in order that a handful of men can have so much more than they can ever eat or they can ever wear.
Now, we have organized a society, and we call it "Share Our Wealth Society," a society with the motto "Every Man a King."
Every man a king, so there would be no such thing as a man or woman who did not have the necessities of life, who would not be dependent upon the whims and caprices and ipsi dixit of the financial barons for a living. What do we propose by this society? We propose to limit the wealth of big men in the country. There is an average of $15,000 in wealth to every family in America. That is right here today.
We do not propose to divide it up equally. We do not propose a division of wealth, but we propose to limit poverty that we will allow to be inflicted upon any man's family. We will not say we are going to try to guarantee any equality, or $15,000 to a family. No; but we do say that one third of the average is low enough for any one family to hold, that there should be a guarantee of a family wealth of around $5,000; enough for a home, an automobile, a radio, and the ordinary conveniences, and the opportunity to educate their children; a fair share of the income of this land thereafter to that family so there will be no such thing as merely the select to have those things, and so there will be no such thing as a family living in poverty and distress.
We have to limit fortunes. Our present plan is that we will allow no one man to own more that $50,000,000. We think that with that limit we will be able to carry out the balance of the program. It may be necessary that we limit it to less than $50,000,000. It may be necessary, in working out of the plans that no man's fortune would be more than $10,000,000 or $15,000,000. But be that as it may, it will still be more than any one man, or any one man and his children and their children, will be able to spend in their lifetimes; and it is not necessary or reasonable to have wealth piled up beyond that point where we cannot prevent poverty among the masses.
Another thing we propose is old-age pension of $30 a month for everyone that is 60 years old. Now, we do not give this pension to a man making $1,000 a year, and we do not give it to him if he has $10,000 in property, but outside of that we do.
We will limit hours of work. There is not any necessity of having overproduction. I think all you have got to do, ladies and gentlemen, is just limit the hours of work to such an extent as people will work only so long as it is necessary to produce enough for all of the people to have what they need. Why, ladies and gentlemen, let us say that all of these labor-saving devices reduce hours down to where you do not have to work but 4 hours a day; that is enough for these people, and then praise be the name of the Lord, if it gets that good. Let it be good and not a curse, and then we will have 5 hours a day and 5 days a week-, or even less than that, and we might give a man a whole month off during a year, or give him 2 months; and we might do what other countries have seen fit to do, and what I did in Louisiana, by having schools by which adults could go back and learn the things that have been discovered since they went to school.
We will not have any trouble taking care of the agricultural situation. All you have to do is balance your production with your consumption. You simply have to abandon a particular crop that you have too much of, and all you have to do is store the surplus for the next year, and the Government will take it over.
When you have good crops in the area in which the crops that have been planted are sufficient for another year, put in your public works in the particular year when you do not need to raise any more, and by that means you get everybody employed. When the Government has enough of any particular crop to take care of all of the people, that will be all that is necessary; and in order to do all of this, our taxation is going to be to take the billion-dollar fortunes and strip them down to frying size, not to exceed $50,000,000, and if it is necessary to come to $10,000,000, we will come to $10,000,000. We have worked the proposition out to guarantee a limit upon property (and no man will own less than one-third the average), and guarantee a reduction of fortunes and a reduction of hours to spread wealth throughout this country. We would care for the old people above 60 and take them away from this thriving industry and give them a chance to enjoy the necessities and live in ease, and thereby lift from the market the labor which would probably create a surplus of commodities.
Those are the things we propose to do. "Every Man a King." Every man to eat when there is something to eat; all to wear something when there is something to wear. That makes us all a sovereign.
You cannot solve these things through these various and sundry alphabetical codes. You can have the N. R. A. and P. W. A. and C. W. A. and the U. U. G. and G. I. N. and any other kind of dad-gummed lettered code. You can wait until doomsday and see 25 more alphabets, but that is not going to solve this proposition. Why hide? Why quibble? You know what the trouble is. The man that says he does not know what the trouble is is just hiding his face to keep from seeing the sunlight.
God told you what the trouble was. The philosophers told you what the trouble was; and when you have a country where one man owns more than 100,000 people, or a million people, and when you have a country where there are four men, as in America, that have got more control over things than all the 120,000,000 people together, you know what the trouble is.
We had these great incomes in this country; but the farmer, who plowed from sunup to sundown, who labored here from sunup to sundown for 6 days a week, wound up at the end of the time with practically nothing.
And we ought to take care of the veterans of the wars in this program. That is a small matter. Suppose it does cost a billion dollars a year—that means that the money will be scattered throughout this country. We ought to pay them a bonus. We can do it. We ought to take care of every single one of the sick and disabled veterans. I do not care whether a man got sick on the battlefield or did not; every man that wore the uniform of this country is entitled to be taken care of, and there is money enough to do it; and we need to spread the wealth of the country, which you did not do in what you call the N. R. A.
If the N. R. A. has done any good, I can put it all in my eye without having it hurt. All I can see that the N. R. A. has done is to put the little man out of business—the little merchant in his store, the little Italian that is running a fruit stand, or the Greek shoe-shining stand, who has to take hold of a code of 275 pages and study it with a spirit level and compass and looking-glass; he has to hire a Philadelphia lawyer to tell him what is in the code; and by the time he learns what the code is, he is in jail or out of business; and they have got a chain code system that has already put him out of business. The N. R. A. is not worth anything, and I said so when they put it through.
Now, my friends, we have got to hit the root with the ax. Centralized power in the hands of a few, with centralized credit in the hands of a few, is the trouble.
Get together in your community tonight or tomorrow and organize one of our Share Our Wealth Societies. If you do not understand it, write me and let me send you the platform; let me give you the proof of it.
This is Huey P. Long talking, United States Senator, Washington, D. C. Write me and let me send you the data on this proposition. Enroll with us. Let us make known to the people what we are going to do. I will send you a button, if I have got enough of them left. We have got a little button that some of our friends designed, with our message around the rim of the button, and in the center "Every Man a King." Many thousands of them are meeting through the United States, and every day we are getting hundreds and hundreds of letters. Share Our Wealth Societies are now being organized, and people have it within their power to relieve themselves from this terrible situation.
Look at what the Mayo brothers announced this week, these greatest scientists of all the world today, who are entitled to have more money than all the Morgans and the Rockefellers, or anyone else, and yet the Mayos turn back their big fortunes to be used for treating the sick, and said they did not want to lay up fortunes in this earth, but wanted to turn them back where they would do some good; but the other big capitalists are not willing to do that, are not willing to do what these men, 10 times more worthy, have already done, and it is going to take a law to require them to do it.
Organize your Share Our Wealth Society and get your people to meet with you, and make known your wishes to your Senators and Representatives in Congress.
Now, my friends, I am going to stop. I thank you for this opportunity to talk to you. I am having to talk under the auspices and by the grace and permission of the National Broadcasting System tonight, and they are letting me talk free. If I had the money, and I wish I had the money, I would like to talk to you more often on this line, but I have not got it, and I cannot expect these people to give it to me free except on some rare instance. But, my friends, I hope to have the opportunity to talk with you, and I am writing to you, and I hope that you will get up and help in the work, because the resolutions and bills are before Congress, and we hope to have your help in getting together and organizing your Share Our Wealth Societies.
Now, that I have but a minute left, I want to say that I suppose my family is listening in on the radio in New Orleans, and I will say to my wife and three children that I am entirely well and hope to be home before many more days, and I hope they have listened to my speech tonight, and I wish them and all of their neighbors and friends everything good that may be had.
I thank you, my friends, for your kind attention, and I hope you will enroll with us, take care of your own work in the work of this Government, and share or help in our Share Our Wealth Societies.
I thank you.

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of a product. Given the cost (in 10's $) of a toy is c=2x-1+2/x, where x is the number of quantity in 1000s. the total cost is given by C=xc. find the total cost, find the minimum cost, and lastly, if each toy can be sold for $20, at what quantity will it be given a break-even?
I don't understand this question so I hope u could explain it to me.

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combine volume pack A and volume pack B. Each pound of volume pack A costs $2.50 and contains 4 units of carbohydrate, 3 units of protein, and 5 units of fat. Each pound of volume pack B cost $1.50 and contains 3 units of carbohydrate, 4 units of protein, and 1 unit of fat. if minimum monthly requirements are 60 units of carbohydrates, 52 units of protein, and 42 units of fat, how many pounds of each food pack will the dietitian use to minimize costs?

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combine volume pack A and volume pack B. Each pound of volume pack A costs $2.50 and contains 4 units of carbohydrate, 3 units of protein, and 5 units of fat. Each pound of volume pack B cost $1.50 and contains 3 units of carbohydrate, 4 units of protein, and 1 unit of fat. if minimum monthly requirements are 60 units of carbohydrates, 52 units of protein, and 42 units of fat, how many pounds of each food pack will the dietitian use to minimize costs?

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sale are 5/10, n/30. If the
retailer sends a partial payment $8,700 on the discount date.
a. How much credit is taken off the bill due to the partial payment?
b. What is the net amount still due?
5. Jen’s Pottery Shop orders china from a supplier for $240 including $30 freight charges. The terms of sale are 3/10, n/30
ROG. The china arrives on 11/21 and Jen wants to take advantage of the cash discount.
a. As bookkeeper for Jen’s, how much will you send the supplier?
6. A small business receives an invoice for merchandise on August 5. The terms of sale are 2/20, n/30. If the manager elects to take the cash discount, what is the discount date?
7. Price Company received an invoice in the amount of $3,800 dated May 24 for merchandise they purchased. The terms of sale
are 3/15, 2/30, n/45. The Company plans to pay the invoice on June 20th?
a. What is the percentage the company will save by sending it on this date?
8. Luggage World buys briefcases with an invoice date of April 28. The terms of sale are 2/10 EOM. What is the discount date?
9. Chuck’s Chops, an upscale steak house, received an invoice for 800 pounds of baking potatoes with a cost of $.85 per pound.
The terms are 2 ½ /10, n/30. Chuck was unable to pay the bill in full within the discount period but was able to remit a partial
payment of $575.00 within the discount period. How much credit did Chuck receive for his partial payment?
10. A toy store buys stuffed animals with a list price of $17,000. If the wholesaler offers trade discounts of 32/27/15,
a. Find the trade discount amount of the stuffed animals?
11. The invoice on an invoice was February 11th with terms of sale 2/10, 60 Extra.
a. What is the discount date?
b. What is the net date?
12. Stan ordered merchandise on October 26th, the terms of sale for his item was 2/10, ROG. If his item was received on
November 27th?
a. What is the discount date?
b. What is the net date?
13. Josie ordered an item on June 27th with terms of sale 3/15, EOM.
a. What is the discount date?

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ir ice cream. At the current exchange rate of .989 USD to 1 Swiss franc (CHF), the cost of chocolate in francs of ₣40,317,492 comes to $39,874,000. Variations in the exchange rate will affect Ken and Terry’s earnings before tax.
a. Assume no hedge is undertaken and exchange rates may take the values of .969, .989. 1.009, and 1.029. What will be the impact on Ken and Terry’s earnings before tax with each exchange rate? (6 points)
b. You suggest a call option with a strike price of .989 and a call premium of 2.35%. Show how this will affect Ken and Terry’s cash flows. (6 points)
c. Another option is to enter into a forward contract at a forward offer rate of .999. How will this affect Ken and Terry’s cash flows? (5 points)
d. Do you recommend the call option or the forward contract? Explain. (3 points)
4. Ken and Terry’s would like to undertake a corporate value-at-risk calculation based on two risk factors of cream and chocolate. They estimate the following “returns” on these inputs by the mark-up on their finished product relative to input prices. Cream is more prevalent than chocolate; it makes up 80% of the mark-up while chocolate makes up 20%. Other data they have gathered is as follows:
Cream: expected return = 30%
variance of return = .10
Chocolate: expected return = 20%
variance of return = .06
covariance of cream and chocolate = .04
What is the largest decrease in return that Ken and Terry can expect with 99% confidence?
(10 points)

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56. Need help with this question! You want to purchase a new car in 3 years and expect the ...

$15000. Your bank offers a savings plan with an annual interest rate of 5.5% if you make regular monthly deposits. How much should your monthly deposits be in order to end up with $15000 in 3 years? Round your answer to the nearest cent.

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57.Below are two companies’ rates to rent a bicycle How much does it cost per hour to rent a ...

at
Company A? What is the cost to rent a bicycle for 6 hours from each company?
Company A: c 5 5h 1 4, where c 5 total cost (in dollars) and h 5 number of hours
Company B: $6 per hour per bicycle

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he efficacy of this spending is therefore relatively important. When it comes to contagious diseases, there are generally two strategies that can be adopted. The first involves prevention, which includes vaccinations to lower or eliminate the risk of contracting a disease. The second involves treatment of those unfortunate enough to get sick, treatment typically requires some form of a drug. Since pharmaceutical companies can produce both vaccines and drugs, we would like to understand the incentives they have to develop each type of medicine. To explore this question, consider a population of 100 consumers, 90 of whom have a low disease risk, say 10%. The remaining ten have a high risk – to make things simple, assume they are certain to contract the disease. In addition, suppose the disease generates personal harm equal to the loss of $100 for each individual when they are infected. Suppose also that pharmaceuticals of either form (vaccines or drugs) are costless to produce (once R & D has occurred) and are perfectly effective
Question 2. What price would a profit maximising monopolist charge for a vaccine? What are the monopoly profits on the vaccine? What is the efficient outcome (i.e. SMB = SMC)? What is the welfare under the monopoly and at the efficient allocation?
Question 3.Now consider the demand for the drug (assume that the vaccine is not available). Construct the demand function for the drug and plot it on a diagram. What price would a profit maximising monopolist charge for the drug? What are the monopoly profits from the drug? What is the efficient outcome? What is the welfare under the monopoly and at the efficient allocation?
Question 4. If the R&D costs of the vaccine and drug are the same, what will the pharmaceutical company do? Explain your answer in terms of the variation in the willingness to pay and the size of the R& D costs. What would a social planner do?
Question 5. What are the R&D cost for the vaccine and the R&D cost for the vaccine drug that would make a pharmaceutical company indifferent between developing the vaccine and the drug? Is the social planner indifferent in this case? Explain any difference.

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each type of classification error.
[Note that all bank models here include only profits and losses within three years of when a card is issued, so the impact of out-years (years beyond 3) can be ignored.]
Cost Per False Negative: $5000
Cost Per False Positive: $2500
For the 600 individuals that were automatically given cards without being classified, the total cost of the experiment turned out to be 25%*($5000)*600 or $750,000. This is $1,250 per event.
Only models with lower cost per event than $1,250 should have any value.
Question: What is the threshold score on the Training Set data for your model that minimizes Cost per Event? You will need this number to answer later questions.
Hint: Using theAUC Calculator Spreadsheet, identify which Column displays the same cost-per-event (row 17) as the overall minimum cost-per-event shown in Cell J2. The threshold is shown in row 10 of that Column. What the threshold means is that at and above this number everything is classified as a "default."

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each type of classification error.
[Note that all bank models here include only profits and losses within three years of when a card is issued, so the impact of out-years (years beyond 3) can be ignored.]
Cost Per False Negative: $5000
Cost Per False Positive: $2500
For the 600 individuals that were automatically given cards without being classified, the total cost of the experiment turned out to be 25%*($5000)*600 or $750,000. This is $1,250 per event.
Only models with lower cost per event than $1,250 should have any value.
Question: What is the threshold score on the Training Set data for your model that minimizes Cost per Event? You will need this number to answer later questions.

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eanut butter for $3.19 per jar, and jars of jelly. The total cost was $14.56. If the teacher bought two of each item, what was the cost of one jar of jelly?
write a linear equation.

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d 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The word tiles come in two sizes: The smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. If the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?

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t be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The word tiles come in two sizes: The smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. If the small tiles cost $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?

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64. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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65.13) Ten people from a local youth group went to Ozark Outdoors Resort to go on a one-day raft trip. ...

The
fees for the trip included a guide's fee as well as charge of $35 per person. The total cost for the
group was $425. a) Write an equation in slope-intercept form to find the total cost C for p people. b) How much would it cost for

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics