Question

In: Operations Management

Standard Enterprises produces an output that it sells in a highly competitive market at a price of $100 per unit.

Standard Enterprises produces an output that it sells in a highly competitive market at a price of $100 per unit. Its inputs include two machines (which cost the firm $50 each) and workers, who can be hired on an as-needed basis in a labor market at a cost of $2,900 per worker (wage). Based on the following production data, how many workers should the firm employ to maximize its profits? (hint: completing the table below will give you the answer)

Machines

Workers

Output

Marginal Product of Labor

VMP

Labor

Wage

2

0

0





2

1

60





2

2

100





2

3

129





2

4

148





2

5

160





2

6

168





Solutions

Expert Solution

Machines Workers Output Marginal Product of Labor VMP =100*marginal product Wage Marginal wage
2 0 0 0 0 0 0
2 1 60 60-0=60 6000 2900 2900
2 2 100 100-60=40 4000 5800 2900
2 3 129 129-100=29 2900 8700 2900
2 4 148 148-129=19 1900 11600 2900
2 5 160 160-148=12 1200 14500 2900
2 6 168 168-160=8 800 17400 2900

The company should employ that number of labor where MW VMP so this is achieved for 3 workers,

So the company should hire 3 workers


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