Question

In: Economics

The short-run production function for a manufacturer of DVD drives is as follows:

The short-run production function for a manufacturer of DVD drives is as follows:

       Number of Workers (Quantity of Labor)                        Total Output of DVD Drives

0 0   

1 7000

2 20000

3 30000

4 36000

5 40000

6 42000

  1. Calculate the average product (AP) at each quantity of labor.

  2. Calculate the marginal product (MP) at each quantity of labor.

  3. After which worker do diminishing marginal returns set in?

  4. In the region of diminishing marginal returns, what is happening to marginal cost? Explain.

Solutions

Expert Solution

a) & b) Ans:

Number of workers
(Quantity of Labor)
Total Output of DVD Drives AP MP
0 0 -- --
1 7000 7000 7000
2 20000 10000 13000
3 30000 10000 10000
4 36000 9000 6000
5 40000 8000 4000
6 42000 7000 2000

Explanation:

AP = Total Product / Number of workers

MP = Change in Total Product / Change in Number of workers

c) Ans: After 2nd worker diminishing marginal returns sets in.

d) Ans: In the region of diminishing marginal returns, marginal cost increases. Becuase marginal product and marginal costs are inversely related.


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