In: Operations Management
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 |
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