Suppose that a firm's production function is given by:150-Q = 14L-12140-130-120-110-100-for L=0 to 7, where L is labor input per day and Q is output per day. Derive and drawthe firm's demand for labor if the firm's output sells for $10 in a competitive market.The marginal product of labor (MP, ) is 14 - 2L.Using the line drawing tool, draw the firm's labor demand curve. Label this curve D, .70Carefully follow the instructions above, and only draw the required objects.50-30-20-10-10Quantity of labor (hours)Price of labor

A firm's demand curve (dd) for labor can be derived by multiplying the MPL (marginal product of…

Answered: Suppose that a firm's production…

Principles of Microeconomics (MindTap Course List)

8th Edition

ISBN:9781305971493

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter18: The Markets For The Factor Of Production

Section: Chapter Questions

Problem 3PA

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A firm can manufacture a product according to the production function Q = 2(K)1/4 (L)3/4 where K represents capital equipment and L is labor. The company has already spent $10,000 on the 4 units capital. a. Please show the expression for the average product of labor, APL and the marginal product of labor, MPL. If workers at the firm are paid a competitive wage of $100 and the product is sold for $200 each, what is optimal level of labor usage and what is the maximum profit?
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A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $12 per hour and capital is rented at $8 per hour. If the marginal product of labor is 60 units of output per hour and the marginal product of capital is 45 units of output per hour, is the firm using the cost-minimizing combination of labor and capital? If not, should the firm increase or decrease the amount of capital used in its production process?
Suppose that a firm's production is given by: Q= 10L-L² , for L= 0 to 5, where L is labor input per day and Q is output per day. Derive and draw the firm's demand for labor if the firm's output sells for $10 in a competitive market. The marginal product of labor is 10-2L. a. How many hours of labor will the firm use when the wage is $30 per day? b. How many hours of labor will the firm use when the wage is $70 per day?
True or false and explain Suppose a firm’s marginal product of labour is MPL = 10/L, where L is measured in labour hours, the price of the product is $600, and the cost per hour of labour is $30. The firm currently employs 150 labour hours. In order to maximize the firm’s profits in the short run, the manager should increase its labour employment by 40 labour hours.
Tom Petersen is considering renovating bar stools at Dreamland. The productionfunction for new bar stools is given byq= 0.5L0.5where q is the number of stools produced during the renovation week and l represents thea number of worker hours employed during the period. The firm is a price taker for both bar stools(which sell for P) and workers (which can be hired at a wage rate of w per hour).a. What is the cost function for this firm C(w,q)?b. What is the supply function for bar stools q(P,w)?c. What is the profit function for this firm (P,w)?d. What is the firm’s demand function for labor function L(P,w)?
A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is $12 per hour and capital is rented at $8 per hour, whereas the marginal product of labour is 60 units of output per hour and the marginal product of capital is 45 units of output per hour. Show if the firm is using the cost-minimizing combination of labour and capital and give appropriate advice if necessary.
A firm can manufacture a product according to the production function Q = 2(K)1/2 (L)1/2 where K represents capital equipment and L is labor. The company has already spent $10,000 on the 4 units capital. a. Please show the expression for the average product of labor, APL and the marginal product of labor, MPL. b. If workers at the firm are paid a competitive wage of $100 and the product is sold for $200 each, what is optimal level of labor usage and what is the maximum profit?
Suppose you are considering hiring another worker. Also assume that you are at a firm that is operating at a point where the marginal product of labor is 5 and the price of each unit of labor is $2, and the marginal product of capital is 20 and the price of each unit of capital is $10. Should you hire another worker? If you hire another worker, what will happen to the marginal product of labor and why?
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