Microeconomics (9th Edition) (Pearson Series in Economics)
9th Edition
ISBN: 9780134184241
Author: Robert Pindyck, Daniel Rubinfeld
Publisher: PEARSON
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Question
Chapter 14, Problem 6E
To determine
Labor demand curve and the labor hired.
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Suppose a competitive firm can sell its output for $7 per unit. The following table gives the firm’s short run production function. Labor Output 0 0 1 15 2 40 3 70 4 86 5 94 6 98 In the table below, you will determine several points on the firm’s demand curve for labor. To do this, you must determine how many workers the firm should hire for different values of the wage rate in order to maximize profit. Complete the table below: Wage Rate Per Worker Quantity Demanded of Workers $30 $50 $70 $100
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Suppose a competitive firm can sell its output for $7 per unit. The following table gives the firm’s short run production function. Labor Output 0 0 1 15 2 40 3 70 4 86 5 94 6 98 In the table below, you will determine several points on the firm’s demand curve for labor. To do this, you must determine how many workers the firm should hire for different values of the wage rate in order to maximize profit. Complete the table below: Wage Rate Per Worker Quantity Demanded of Workers $30 $50 $70 $100
Note:-
Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
Answer completely.
You will get up vote for sure.
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Suppose the hourly wage rate is $17, the rental price of capital is $2 and the price of output is constant at $45 per unit. Firm's production technology is q = 4K0.25E0.75, the marginal product of employment is MPE =3K0.25E-0.25 and the marginal product of capital is MPK = K-0.75E0.75. What is firm's optimal demand of labor if firm plans to produce q=26 units of outputs in the long-run? (please keep 1 decimal place in your answer)
Chapter 14 Solutions
Microeconomics (9th Edition) (Pearson Series in Economics)
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- Widget factory Inc. in Wisconsin has the following production function: F(L,K) = 2L1/2 K1/2 L represent the number of labour hours. Workers at this factory are paid an hourly wage of $30 and they rent capital at $25/hour. Since this is a competitive market, the factory output the factory gets per is output is $50 per unit. Let's pretend the firm operates in the short run with capital fixed at 900, how many factory workers would Widget Factory Inc employ? What is their profit rate?arrow_forwardSuppose the productivity of capital and labor are as shown in the accompanying table. The output of these resources sells in a purely competitive market for $1 per unit. Both capital and labor are hired under purely competitive conditions at $3 and $1, respectively. a. What is the least-cost combination of labor and capital the firm should employ in producing 80 units of output? Explain. b. What is the profit-maximizing combination of labor and capital the firm should use? Explain. What is the resulting level of output? What is the economic profit? Is this the least costly way of producing the profit maximizing output?arrow_forwardA firm's production function is: q = 16L1/2K1/3 where q is the firm's hourly total product, L is the quantity of labor employed, and K is the quantity of capital employed. Assume that the quantity of capital employed is fixed at 125 units per hour. The labor market is perfectly competitive, and the current wage, w, is $10 per hour. The firm sells its product in a perfectly competitive market and the price is $5 per unit. a. What is the firm's value of marginal product of labor? b. What is the firm's profit maximizing quantity of labor?arrow_forward
- Suppose that in a competitive output market, firms hire labor from a competitive labor market (so that the profit maximization conditions for hiring labor are as we discussed in class). If a profit-maximizing firm in this market gets an improvement in technology that increases the marginal product of labor for any given unit of labor it employs, and if the market wage stays constant, we would expect the firm to Group of answer choices a) offer a lower wage and hire fewer units of labor. b) hire more units of labor. c) do none of the other options. d) keep the number of units of labor the same. e) hire fewer units of labor (i.e., workers) because it could produce more than before with fewer people.arrow_forwardSuppose 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?arrow_forwardConsider a firm for which production depends on two normal inputs, labor and capital, with prices w and r, respectively. Initially, the firm faces market prices of w=$5 and r=$15. Assume the firm has a cost budget of $1,500. a. Using the isoquant-isocost model, graphically show the optimal level of employment for this firm in the long run.b. Suppose the government now imposes a minimum wage of $10 for workers. Using the same graph as part a, graphically show the impact of the minimum wage on the optimal level of employment in the long run.c. Refer to the initial situation described in part a. Now suppose a new innovation causes the price of capital to fall to $10. Using a new isoquant-isocost model, graphically show how this change impacts the optimal levels of employment and capital in the long run. Clearly identify the resulting scale and substitution effects caused by the lower cost of capital.arrow_forward
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