118.The supply for a particular item is given by the function
S
(
x
)
=
15
+
7
x
. Find the producer's surplus if the equilibrium
...
producer's surplus if the equilibrium price of a unit
$
99
.A retailer anticipates selling
7600
units of its product at a uniform rate over the next year. Each time the retailer places an order for
x
units, it is charged a flat fee of
$
100
. Carrying costs are
$
38
per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost?
For a particular commodity, the demand function is
q
=
1
4
(
400
−
p
2
)
.
a
.
Find
ε
when
p
=
8
.A hotel rents
240
rooms at a rate of
$
60
per day. For each
$
1
increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.
View More
119.A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum and steel. The
...
uminum and steel. The company has available 38 comma 160 units of steel and 48 comma 380 units of aluminum. The 1-, 3-, and 10-speed models need, respectively, 8, 12 and 16 units of steel and 15, 10, and 20 units of aluminum. The company makes $4 per 1-speed bike, $6 per 3-speed, and $16 per 10-speed. Use the simplex method to complete parts (a) and (b).
(a) How many of each type of bicycle should be made in order to maximize profit? What is the maximum profit?
Set up the linear programming problem. Let x 1, x 2, and x 3 represent the numbers of 1-, 3-, and 10-speed bicycles, respectively, and let z be the total profit.
▼
Minimize
Maximize
zequals
nothing
subject to
8 x 1 plus 12 x 2 plus 16 x 3
▼
greater than
less than or equals
greater than or equals
less than
nothing
15 x 1 plus 10 x 2 plus 20 x 3
▼
greater than
less than or equals
less than
greater than or equals
nothing
x 1greater than or equals0, x 2greater than or equals0, x 3greater than or equals0.
(Do not factor. Do not include the $ symbol in your answers.)
Set up the initial simplex tableau and use the Simplex Method to solve.
The maximum profit is $
nothing. To get that profit, the company should make
nothing 1-speed bicycle(s),
nothing 3-speed bicycle(s), and
nothing 10-speed bicycle(s).
(Type whole numbers.)
(b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A.
When the profit is maximized, all of the steel is used but
nothing units of aluminum remain unused.
(Type a whole number.)
B.
When the profit is maximized, some of each material remains unused. Specifically,
nothing units of aluminum and
nothing units of steel remain unused.
(Type whole numbers.)
C.
When the profit is maximized, all of the available aluminum and steel is used.
D.
When the profit is maximized, all of the aluminum is used but
nothing units of steel remain unused.
(Type a whole number.)
View More
120.You are sleeping on an air mattress, which forms a rectangular "box" shape. The length and width don't change, but
...
't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' =
cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)
View More
123.A GRAPHING CALCULATOR IS REQUIRED FOR THIS QUESTION.
You are permitted to use your calculator to solve an equation, find the
...
lve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit.
Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
Let f be a twice-differentiable function such that f′(2)=0 . The second derivative of f is given by f′′(x)=x2e2−x−1 for 0≤x≤6 .
(a) On what open intervals contained in 0
View More
126.A new viral illness was recently identified in the community. The virus caused people to develop “Itchy hand
disease” (IHD) –
...
Itchy hand
disease” (IHD) – a disorder characterised by muscle aches and pains, fever and an itchy rash on the hands and
feet. Itchy hand disease is thought to have a higher incidence in older persons and smokers. Dr Boisty was
interested in determining whether healthcare workers were more at risk of developing IHD than were workers
in other sectors and decided to investigate this issue.
Five hundred health care workers were recruited into the study. They were compared to 700 office workers.
Both groups were followed for six months. During follow-up, any presentation to a doctor was notified to the
study team, who contacted the doctor to find out what the diagnosis was. The outcome of interest was IHD. Of
the 500 health care workers, 43 developed IHD during the study. Of the 700 office workers, 23 developed IHD
during the study.
Dr Boisty knew that many members of the community liked to take a supplement called Herbal Extract X (‘HEX’)
to try to “boost their immune system”. Herbal Extract X was also suspected of causing IHD. So, Dr Boisty
collected information on the use of HEX by the study participants.
Of the health care workers, 400 used HEX; 39 of these developed IHD. Of the office workers, 300 used HEX; 15
of these developed IHD.
View More
135.2.
PODStat5 4.E.031.
The standard deviation alone does not measure relative variation. For example, a standard deviation of $1 would be considered
...
, a standard deviation of $1 would be considered large if it is describing the variability from store to store in the price of an ice cube tray. On the other hand, a standard deviation of $1 would be considered small if it is describing store-to-store variability in the price of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of variation. Denoted by CV, the coefficient of variation expresses the standard deviation as a percentage of the mean. It is defined by the formula CV = 100(s/ x ). Consider two samples. Sample 1 gives the actual weight (in ounces) of the contents of cans of pet food labeled as having a net weight of 8 oz. Sample 2 gives the actual weight (in pounds) of the contents of bags of dry pet food labeled as having a net weight of 50 lb. There are weights for the two samples.
Sample 1 7.7 6.8 6.5 7.2 6.5
7.7 7.3 6.6 6.6 6.1
Sample 2 50.7 50.9 50.5 50.3 51.5
47 50.4 50.3 48.7 48.2
(a) For each of the given samples, calculate the mean and the standard deviation. (Round all intermediate calculations and answers to five decimal places.)
For sample 1
Mean
Standard deviation
For sample 2
Mean
Standard deviation
(b) Compute the coefficient of variation for each sample. (Round all answers to two decimal places.)
CV1
CV2
View More
146.Use g = 9.8 m/s2.
The diagram below is a top-down view of two children pulling a 11.8-kg sled along the
...
ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction.
Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity.
magnitude
direction (counterclockwise from the +x-axis)
What is the coefficient of kinetic friction between the sled and the ground?
What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?
View More
150.hello can you please help to solve this system of equations k == (Sqrt[y^2 - 2 y^3 - y^4 +
...
+ Sqrt[2 - 2 y] -
k)/((y + 1) Sqrt[1 - y^2]),
Sqrt[2]/2/m == k/(k - Sqrt[2 - 2 y]), n ==
Sqrt[2 - 2 Sqrt[1 - m^2]], z == Sqrt[2 - 2 y]/f ==
Sqrt[(zn)^2 - 2 + 2 y]/
Sqrt[n^2 - f^2], t == (Sqrt[g^2 - 2 g^3 - g^4 + 2 g + 1] +
Sqrt[2 - 2 g] - t)/((g + 1) Sqrt[1 - g^2]),
Sqrt[2]/2/h == t/(t - Sqrt[2 - 2 g]), q ==
Sqrt[2 - 2 Sqrt[1 - h^2]], l == Sqrt[2 - 2 g]/p ==
Sqrt[(lq)^2 - 2 + 2 g]/
Sqrt[q^2 - p^2], (z + 1) x == (l + 1) 2 x == (y + 1) Sqrt[1 - y^2]/
Sqrt[2] == Pi/4, q == m and determine true it or false thank you
View More
152.Statistics help. Find the mean and standard deviation for the 65 low prices in your sample and provide the printout
...
de the printout below. Use these values as estimates of the mean and standard deviation found in the population of all low prices. Suppose that the low prices were normally distributed (regardless of what your data may indicate). Find the proportion of all low prices that would be between $20 and $50 in the population. I want you to show your work. To receive full credit, you should include pictures of the normal curve (labeled with both x and z-values) with the pertinent probabilities shaded in the picture
View More
158.My lecture notes say that f(x)=f(x0)+f'(x0)(x-x0) + R1(x;x0) is the tangent line equation with R1(x;x0) being impossible to find so
...
x0) being impossible to find so it can be dropped. My lecture notes also say f(x) = f(x0) + integral of f'(t)dt with upper bound x and lower bound x0. I'm just confused as to which is the tangent line approximation because they seem to be different equations. If the integral is evaluated on the 2nd one it gives f(x)-f(x0) but the 2nd term for the first equation (dropping R1(x;x0) gives xf'(x0)-x0f'(x0) which seems to be a different term to me. So I'm wondering which is the tangent line equation (or if the tangent line equation has more than 1 unique form) or how the second one equals the first if they are equal.
View More
188.x f(x)
1 1
2 4
3 9
4 16
Find
...
terms of f(x-1).
For example,
x f(x)
1 1
2 3
3 5
4 7
To find the pattern
f(x)=1=1+0 = 1.1 + 2.0
f(x)=3=1+0+2 = 1.1 + 2.1
f(x)=5=1+0+2+2 = 1.1 + 2.2
f(x)=7=1+0+2+2+2 = 1.1 + 2.3
so the formula becomes 1+2(x-1).
e.g. x=4, f(x)= 1+2(4-1)=7.
View More
193.Calculating the % an object(A square) is overlapping with another(the screen, a rectangle)
Making a tilebased game,
2D rectangle tiles with a
...
a tilebased game,
2D rectangle tiles with a size of 5000X5000 pixels per rectangle.
I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map.
I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving.
So I know the following things:
Width and height of a single section:
5000X5000 pixels
the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000
The visible screen real estate is 1920 X 1080 pixels big
0X,0Y always stars top left, bottom right is 5000X5000
What I need to end up with:
A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)
View More
197.An automated asteroid mining ship is traveling between two asteroids that are 1.5 x 106
km apart. The
mining ship has a
...
he
mining ship has a mass of 10,000 kg. The first rocket stage provides a thrust of 80 kN and is used over a
distance of 100,000 km. The second rocket stage provides a thrust of 40 kN and is used over a distance
of 200,000 km. The third rocket stage provides a thrust of 30 kN and is used over a distance of 400,000
km.
1) Calculate the final velocity of the rocket using two methods:
a. Using the work-energy theorem.
b. Using kinematics and Newton’s laws of motion. Hint: You might need to use the
quadratic formula to solve for t:
2) Calculate the total amount of time it takes for the mining ship to reach the other asteroid.
3) If the ship has a reverse thruster that provides 200 kN of thrust, how many km before reaching
the destination should the mining ship engage the reverse thrusters?
View More
201.I am having problem with an assignment using lubrication method.
4. To obtain an analytical model of the flow
...
el of the flow in the coating zone x ∈ [0; L], y ∈ [0; h(x)] a lubrication approximation will be developed. If λ >> 1, and if α is close to, but less than 1 the coating zone appears plane. Use the equation of continuity to show by an order of magnitude estimate that |vy| << |vx|. Then state assumptions on flow and pressure field that reduce the Navier- Stokes equation locally to a form, from which the following approximate expression for the x-velocity in the slot for x ∈ [0; L] can be derived:
Se the attached.
View More
205.For which value(s) of a does the curve y = x^2 + ax + 2
...
1 ? (Without using differentiation rules)
For each statement, explain why it must be true, or use an example to show that it can be false.
a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 .
b)A tangent line always has exactly one point in common with the graph of the function.
View More
206.I dont understad these questions:
For which value(s) of a does the curve y = x^2 +
...
ave a horizontal tangent line at x = 1 ? (Without using differentiation rules)
For each statement, explain why it must be true, or use an example to show that it can be false.
a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 .
b)A tangent line always has exactly one point in common with the graph of the function.
View More
209.I have a symmetric distribution of children heights in an elementary classroom with x axis values such as 44,46,48,50,52,54,56 ..
...
ch as 44,46,48,50,52,54,56 ..
1) determine what percent of the students are taller than 55 inches?
2) determine cut off value for the shortest 25% ? (round your answer for 2 to 4 decimals) ?
View More
211.2. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value
...
s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)
View More
212. 1. What is the greatest value of c for which the roots of the equation x^2 + 4x +
...
2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?
View More
215.
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
View More
218.I have a function and I can't figure out how to increase the circumference
private List CreateCircle(float
...
r3> CreateCircle(float zValue, int points)
{
var vertices = new List();
float degrees = 0f;
float degreeChange = twoPi / points;
for (var i = 0; i < points; i++)
{
// Adding to degrees changes the rotation of the circles - adding nothing creates a straight tube
float x = (2f * Mathf.PI) * Mathf.Sin(degrees);
float y = (2f * Mathf.PI) * Mathf.Sin(degrees);
//Mathf.Sin(degrees + (GlobalVariables.tunnelDepth/2))
//Mathf.Cos(degrees + (GlobalVariables.tunnelDepth / 3))
vertices.Add(new Vector3(x, y, zValue));
degrees += degreeChange;
}
return vertices;
}
View More
219.
Complete the table below. Be sure to simplify your fractions 1. x -4,0,2,4,5
...
2.f(x) 2,-6,?,-8,?
3.g(x) 1,-4,-3,?,?
4.(f-g)(x) ?,-2,?,-14,-12
5.(f/g)(x) 2,?,10/3,?,-1/5
View More
224.Let's say that I have a data set of every time a certain person has coughed since the beginning of
...
his year. I'm looking for a formula that will tell me the probability that a person will cough x number of times in a given week.
I started with the Poisson Distribution, but Poisson doesn't seem to take into account standard deviation. To calculate the probability with Poisson, only the mean, expected value, and test value are needed, meaning the variance/standard deviation of the data could vary widely, and you'd still get the same probability distribution. For example, if someone coughed exactly 5 times everyday, you'd get the same probability distribution if this person alternated coughing 0 times one day, 10 times the next, 0 times the next day, 10 times the next, and so on.
Does my question make sense? Thanks for your help.
View More