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The menu at Joe’s coffee shop consists of a variety of coffee drinks, pastries, and sandwiches. The marginal product of an additional worker can be defined as the number of customers that can be served by that worker in a given time period. Joe has been employing one worker but is considering hiring a second and a third. Explain why the marginal product of the second and third workers might be higher than the first. Why might you expect the marginal product of additional workers to diminish eventually?

Short Answer

Expert verified

The marginal product of the second and third workers would be higher than the marginal product of the first worker because the efficiency is high when workers are few.

The marginal product of additional workers would eventually diminish because of falling efficiency when there are too many workers in the coffee shop.

Step by step solution

01

The nature of the marginal product 

The marginal product of a worker is defined as the rise in total output level due to the employment of an additional worker.

According to the law of diminishing marginal returns, if a producer employs both fixed and variable inputs in the short run, the marginal product of a variable input first rises and then decreases. The reason is that the efficiency of additional inputs increases when the amount of variable inputs is low. In contrast, the efficiency of additional inputs falls when the amount of variable inputs is high.

Following this law, it can be concluded that the marginal product of the second and third workers might be higher than the first worker and they would be able to serve customers more efficiently in the initial stages, so their productivity rises. They would be able to do so by specializing in different tasks.

However, since the area of the coffee shop is fixed, the marginal product of any additional workers would gradually diminish. The reason is that the coffee shop would become congested in the later stages, so the additional workers would not be able to serve customers efficiently, so their productivity would fall.

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Most popular questions from this chapter

The marginal product of labor in the production of computer chips is 50 chips per hour. The marginal rate of technical substitution of hours of labor for hours of machine capital is 1/4. What is the marginal product of capital?

Fill in the gaps in the table below.

Quantity of variable input
Total output
Marginal product of variable input
Average product of variable input
00

1225

2

300
3
300
41140

5
225
6

225

A political campaign manager must decide whether to emphasize television advertisements or letters to potential voters in a reelection campaign. Describe the production function for campaign votes. How might information about this function (such as the shape of the isoquants) help the campaign manager to plan strategy?

A firm has a production process in which the inputs to production are perfectly substitutable in the long run. Can you tell whether the marginal rate of technical substitution is high or low, or is further information necessary? Discuss.

For each of the following examples, draw a representative isoquant. What can you say about the marginal rate of technical substitution in each case?

a. A firm can hire only full-time employees to produce its output, or it can hire some combination of fulltime and part-time employees. For each full-time worker let go, the firm must hire an increasing number of temporary employees to maintain the same level of output.

b. A firm finds that it can always trade two units of labor for one unit of capital and still keep output constant.

c. A firm requires exactly two full-time workers to operate each piece of machinery in the factory

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