Question

In: Economics

Suppose that the marginal product of labor is: MP = 100 – L, where L is the number of workers hired.

Suppose that the marginal product of labor is: MP = 100 – L, where L is the number of workers hired. You can sell the product in the marketplace for $50 per unit and the wage rate for labor is $100. How many workers should you hire?

Solutions

Expert Solution

The output profit-maximizing condition for the use of labor is :

p * MP = w

where p = price of the output = $50

MP = Marginal product of labor = 100 - L

w = wage rate for labor = $100

So by the condition :

50 * (100 - L) = 100

100 - L = 100/50 = 2

100 - L = 2

L = 100 - 2 = 98

Answer : In order to profit maximize they should hire 98 workers.


Related Solutions

The value of the marginal product of labor for Panera is VMPL=20-(1/2)L. Panera hires L workers...
The value of the marginal product of labor for Panera is VMPL=20-(1/2)L. Panera hires L workers in a competitive labor market and only sells coffee, also in a competitive market. The price of coffee is $2. First, sketch Panera's demand for labor. Clearly label each axis. What market wage would induce Panera to hire only 4 workers? Suppose someone provided Panera with an infinite supply of free labor. Panera would not use an infinite number of workers; instead it would...
13 Refer to the following table: Number of workers Output Marginal Product of Labor Value of...
13 Refer to the following table: Number of workers Output Marginal Product of Labor Value of Marginal Product of Labor Wage Marginal Profit 0 0 -- -- $300 -- 1 300 300 $600 $300 $300 2 500 200 AA $300 $100 3 600 100 $200 $300 BB 4 650 CC DD $300 - $200 13.1.   Problem Set #7 - Part II - 13.1 (A) What is the value for the cell labeled AA? A.  $300 B.  $600 C.  $400 D.  $500 E.  $200 13.2.   Problem...
Suppose a firm's marginal product of capital and marginal product of labor schedules are as shown...
Suppose a firm's marginal product of capital and marginal product of labor schedules are as shown in the table below. The firm hires both capital and labor competitively for $5 and $8, respectively. This assignment will be graded out of 6 points with 2 points possible for each question. Capital MP of Capital Labor MP of Labor 0 0 1 10 1 28 2 9 2 30 3 8 3 24 4 7 4 20 5 6 5 16 6...
Suppose a firm's marginal product of capital and marginal product of labor schedules are as shown...
Suppose a firm's marginal product of capital and marginal product of labor schedules are as shown in the table below. The firm hires both capital and labor competitively for $4 and $8, respectively. Its output is sold in a competitive market for $.50 per unit. Capital MP of Capital Labor MP of Labor 0 0 1 10 1 28 2 9 2 30 3 8 3 24 4 7 4 20 5 6 5 16 6 5 6 12 7...
A monopsonist has a labor supply curve of =10+L and marginal product of labor curve of...
A monopsonist has a labor supply curve of =10+L and marginal product of labor curve of 20-L. If the price is set to 8, what is the wage the monopsonist has to pay?
Complete the table by calculating marginal productivity (MP) of labor and average productivity (AP) of labor....
Complete the table by calculating marginal productivity (MP) of labor and average productivity (AP) of labor. Then plot the total product, MP, and AP and explain the relationship between MP and AP. Why does MP first rise and then decline? Inputs of Labor Total Production Marginal Productivity Average Productivity 0 0 1 15 2 34 3 51 4 65 5 74 6 80 7 83 8 82
Suppose that in an industry, workers are hired on an hourly basis. Labor costs are variable...
Suppose that in an industry, workers are hired on an hourly basis. Labor costs are variable costs, in that the firm needs to hire more workers (for more hours) to increase production, and the firm can choose to hire zero workers if it does not want to produce. Suppose that market wages go up, and hiring workers becomes more expensive per hour, while other costs remain the same. Consider how this will affect the cost curves for a firm in...
Workers for a firm have the following marginal productivity of labor: M P subscript L equals...
Workers for a firm have the following marginal productivity of labor: M P subscript L equals 50 minus L Suppose the firm sells its output for $2 per unit. The firm is a nondiscriminating monopsonist and faces the following labor supply curve: L equals W Determine the number of workers employed and the wage that the workers are paid.
Suppose that the labor demand is given by the equation L= 4000 -20W, where L is...
Suppose that the labor demand is given by the equation L= 4000 -20W, where L is the number of legal assistants and W is the daily wage. If W=$80, calculate the own wage elasticity of labor demand. Is the demand for legal assistants elastic or inelastic at this point? Suppose that the wage rose to $150. Calculate the own wage elasticity of labor demand. Is the labor demand elastic or inelastic at this point?
Number of Employees Total Production Marginal Product of Labor Marginal Revenue Product 0 0 0 1...
Number of Employees Total Production Marginal Product of Labor Marginal Revenue Product 0 0 0 1 18 18 2 30 12 3 41 11 4 46 5 If the price of the item is $10.00 per unit and the employees cost $100 each, how many employees should the firm hire to maximize their profit? Two employees Three employees Four employees One employee
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT