In: Economics
1) The following table depicts the output of a firm that manufactures computer printers. The printers sell for $100 each.
Calculate Marginal Revenue Product for each level of labor
Labor Input (Weekly) Output
10 200 11 218 12 234 13 248 14 260 15 270 16 278 2)
Refer back to your answers to Problem1 in answering the following questions.
What is the maximum wage the firm will be willing to pay if it hires 15 workers?
The weekly wage paid by computer printer manufacturers in a perfectly competitive market is $1,200. How many workers will the profit- maximizing employer hire?
1)
It shall be noted that Marginal Revenue Product for each level of Labor = Marginal Physical Product at each level of Labor * Price of Printer
The Marginal Physical Product of labor at L2 level = (Output(L2) - Output(L1))/(L2 - L1)
Thus, the Marginal Revenue Product (MRPL) for each level of Labor is:
L (Weekly) |
Output | MPL |
Price of Printer $100 |
MRPL |
10 | 200 | 20 | 100 | 2000 |
11 | 218 | 18 | 100 | 1800 |
12 | 234 | 16 | 100 | 1600 |
13 | 248 | 14 | 100 | 1400 |
14 | 260 | 12 | 100 | 1200 |
15 | 270 | 10 | 100 | 1000 |
16 | 278 | 8 | 100 | 800 |
2)
If the firm is willing to hire 15 workers, the maximum wage it would be willing to pay would be equal to the marginal revenue product of labor at 15th worker, that is $1000
Hence, the maximum wage the firm will be willing to pay if it hires 15 workers is $1000 per labor per week
If the weekly wage paid by computer printer manufacturers in a perfectly competitive market is $1,200, the optimal number of workers that would be hired is 14 workers as the wage of $1200 per labor per week is equal to the marginal revenue product of the labor.
Thus, the workers that the profit-maximizing employer would hire is 14 workers