Question

In: Economics

2. Suppose you operate a copying service that has two copy machines. After some experience, you...

2. Suppose you operate a copying service that has two copy machines. After some experience, you find that hiring additional workers increases your copying capacity by 500 sheets per worker each day, up to the eighth worker. But, after you have eight workers on staff, hiring additional workers produces no additional pages copied.

a. Graph the APL and the MPL. [Hint: what would the MPL of the ninth worker be? What would the APL be if nine workers were hired?]

b. Briefly explain what might cause the MPL to behave in this way.

c. Can you find the MRTS for the copying service? If so, what is it? If not, why not?

Solutions

Expert Solution

Ques A. APL & MPL

Ques b. the MPL behaves this way as the 2 machines can absorb the additional labour completely. As they work on machines, the output increase is also based on the machine capacity. Hence MPL is constant for some time. Once machine reaches its maximum capacity of output which it can generate, Even an additional labour will not be able to generate additional output and thus MPL is 0.

Ques C. We cannot find MRTS in this question as the formula for MRTS is Change in Labour/Change in Capital. Although we have the change in labour, we do not have the change in capital in this case.


Related Solutions

A system consists of three machines and two repairmen. At most two machines can operate at...
A system consists of three machines and two repairmen. At most two machines can operate at any time. The amount of time that an operating machine works before breaking down is exponentially distributed with mean 5 hours. The amount of time that it takes a single repairman to x a machine is exponentially distributed with mean 4 hours. Only one repairman can work on a failed machine at any given time. Let X(t) be the number of machines in working...
The Crantz Corporation has a central copying facility. The copying facility has only two users, the...
The Crantz Corporation has a central copying facility. The copying facility has only two users, the Marketing Department and the Operations Department. The following data apply to the coming budget year: Budgeted costs of operating the copying facility for 400,000 to 600,000 copies: Fixed costs per year$60,000 Variable costs3 cents (.03) per copy Budgeted long-run usage in copies per year: Marketing Department120,000 copies Operations Department380,000 copies Budgeted amounts are used to calculate the allocation rates. Actual usage for the year...
Copius Copy, Inc. produces cartridge toner for copy machines. Sales have been very erratic, with some...
Copius Copy, Inc. produces cartridge toner for copy machines. Sales have been very erratic, with some months showing a profit, and some months showing a loss. The company’s contribution margin format income statement for the most recent month is given below: Sales (13,600 units at $20 per unit) $272,000 Variable costs 190,000 Contribution Margin 82,000 Fixed costs 88,000 Net operating loss $ (6,000) Required: 1. Compute the company’s CM ratio and its break-even point in both units and sales dollars....
Anderson Document Services, a document creation and copying company, has two departments, Design and Copying.
 Anderson Document Services, a document creation and copying company, has two departments, Design and Copying. The company's most recent monthly contribution format income statement follows: A study indicates that $14,000 of the fixed expenses being charged to the Design Department are sunk costs or allocated costs that will continue even if the Design Department is dropped. In addition, the elimination of the Design Department would result in a 5% decrease in the sales of the Copying Department. Required: a. Calculate the effect on the operating...
Anderson Document Services, a document creation and copying company, has two departments, Design and Copying. The...
Anderson Document Services, a document creation and copying company, has two departments, Design and Copying. The company’s most recent monthly contribution format income statement follows: Department Total Design Copying   Sales $ 455,000 $ 120,000 $ 335,000   Variable expenses 279,000 78,000 201,000      Contribution margin 176,000 42,000 134,000   Fixed expenses 76,080 47,550 28,530   Operating income (loss) $ 99,920 $ (5,550 ) $ 105,470 A study indicates that $21,875 of the fixed expenses being charged to the Design Department are sunk costs...
2. Give an example of a service experience in which you participated, or witnessed, that was...
2. Give an example of a service experience in which you participated, or witnessed, that was good or excellent because of the presence of an expert customer?. What did the customer say, or do, to identify them as an expert consumer of the service? What happened, or didn't happen, in the delivery of the service because the consumer was an expert? How did the consumer's expertise impact their perception of the service? How did the consumer's expertise impact other customers...
Consider a small machine shop where each worker can operate all the machines but operates some...
Consider a small machine shop where each worker can operate all the machines but operates some of the machines better than others. On any given day there are a number of jobs which have to be completed. For this situation, the problem facing management, is how to obtain the fastest turnaround time for all jobs. The time it takes to perform an average job for each of these workers is as follows: Drilling Grinding Lathework Joe 5 10 6 Jack...
2) You are evaluating two different aluminum milling machines. The Alumina I costs $240,000, has a...
2) You are evaluating two different aluminum milling machines. The Alumina I costs $240,000, has a three-year life, and has pretax operating costs of $63,000 per year. The Alumina II costs $420,000, has a five-year life, and has pretax operating costs of $36,000 per year. For both milling machines, use straight-line depreciation to zero over the project's life and assume a salvage value of $40,000. If your tax rate is 35 percent and your discount rate is 10 percent, which...
suppose that you encounter two traffic lights on your commute to school. Based on past experience,...
suppose that you encounter two traffic lights on your commute to school. Based on past experience, you judge that the probability is .60 that the first light will be red when you get to it, .50 that the second light will be red, and .40 that both lights will be red. a)Determine the conditional probability that the second light will be red, given that the first light is red. (Here and throughout, show the details of your calculations.) b)Are the...
Cowboys Copies, Inc., wants to upgrade its copy machines. Its last update was 2 years ago,...
Cowboys Copies, Inc., wants to upgrade its copy machines. Its last update was 2 years ago, when it spent $1,150 on equipment with an assumed life of 5 years and. The firm uses MACRS depreciation. The old equipment can be sold today for $800. A new system can be installed today for $1,500. This will have a 3 year life and will be depreciated under MACRS 3 year schedule. At the end of 3 years, the new equipment will be...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT