1. (‘JJ) uses a certain machine to produce carjacks. The machine cost the company $90,000 three years ago. The reduced
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
4.2)Two books are accelerating to the right on a frictional surface and the coefficient of kinetic friction between the floor
ction between the floor and book is µk. Using the information given in the figure:
(a) draw free body diagrams for both the books, and also for the combined system (of mass m1+m2),
(b) find acceleration of the books along horizontal direction, and
(c) find the magnitude and direction of the force exerted by the left book on the right book.
3.A car of mass 1500-kg enters a circular path at point P and leaves at point Q (see the figure) at constant speed of 5.0m/s, and the frictional force acting on its tires is 2500-N.
a) how long it takes to reach point Q from point P, and
b) what should be the minimum value of the coefficient of static friction between the tires and the road?
4)In an elevator which is accelerating downward at 2.5ms−2 , a 25-kg block hangs from a spring attached to the ceiling of the elevator. If spring gets stretched by 0.15m, find its spring constant.
6.I have 5 questions I am stuck on. Please help!
1. Enter the correct answer in the box.
Facundo crochets and sells
chets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
2. The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d. When an astronaut stands in a training center on the surface of Earth (3,960 miles from the center), she weighs 155 pounds. To the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center?
3. The square of g varies inversely as h. When g = 16, h = 2. What is the value of h when g = 40?
4. The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation?
5. The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.
7.Hello I have two problems to solve the subject is Quantitative Methods for Decision-Making
After graduating from AUD, Salman plans
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.
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