Microeconomics
13th Edition
ISBN: 9781337617406
Author: Roger A. Arnold
Publisher: Cengage Learning
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Question
Chapter 13.1, Problem 1ST
To determine
Calculate Marginal Revenue Product (MRP).
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Refer to the tabie below, which shows the relationship between labour and output
for a perfectly competitive firm.
Quantity of labour
Total output
1
2
5
12
5
13
If each unit of labour hired is paid $6, then the marginal cost of the 5th unit of
output is:
The following table shows the production function for a company.
This company sells its product in a perfectly competitive product market at a price of $4 each and hire labor in a perfectly competitive labor market at a wage of $450 per week.
Calculate the Marginal MarginalProduct of the 1st, 2nd, and 3rd.
Calculate the Value ofMarginal Product of the 1st, 2nd, and 3rd
How many workers should it hire? How do you know? Explain your answer.
Show formulas and some of your calculations.
The production function of a competitive firm is described by the equation y =
1/2,
1/2
2.x26x. The factor prices are pi
$3 and
P2
$4 and the firm can hire as much of either
factor it wants at these prices. What is the firm's marginal cost?
Chapter 13 Solutions
Microeconomics
Ch. 13.1 - Prob. 1STCh. 13.1 - Prob. 2STCh. 13.1 - Prob. 3STCh. 13.1 - Prob. 4STCh. 13.2 - Prob. 1STCh. 13.2 - Prob. 2STCh. 13.2 - Prob. 3STCh. 13.2 - Prob. 4STCh. 13 - Prob. 1QPCh. 13 - Prob. 2QP
Ch. 13 - Prob. 3QPCh. 13 - Compare the firms least-cost rule with how buyers...Ch. 13 - Prob. 5QPCh. 13 - Prob. 6QPCh. 13 - Prob. 7QPCh. 13 - Prob. 8QPCh. 13 - Prob. 9QPCh. 13 - Prob. 10QPCh. 13 - Prob. 11QPCh. 13 - Prob. 12QPCh. 13 - Prob. 13QPCh. 13 - Prob. 14QPCh. 13 - Prob. 15QPCh. 13 - Prob. 16QPCh. 13 - Prob. 1WNGCh. 13 - Prob. 2WNGCh. 13 - Prob. 3WNGCh. 13 - Prob. 4WNGCh. 13 - Prob. 5WNG
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- 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.arrow_forwardBased on the table for a perfectly competitive firm above, if the wage rate for labor is $15, how many units of labor should the firm hire?arrow_forwardSuppose that labor is the only input used by a perfectly competitive firm. The firm’s production function is as follows: Number of Workers: 0, 1, 2, 3, 4, 5, 6, 7 Units of Output: 0, 7, 13, 19, 25, 28, 29, 29 a. Calculate the marginal product for each additional worker. b. Each unit of output sells for $10. Calculate the value of the marginal product of each worker. c. Compute the marginal profit if the wage is $100 a day. 2. Your enterprising uncle opens a sandwich shop that employs 7 people. The employees are paid $12 per hour, and a sandwich sells for $6. If your uncle is maximizing his profit, what is the value of the marginal product of the last worker he hired? What is that worker’s marginal product?arrow_forward
- Suppose that hiring a third worker at the campus coffee shop increases output from $100 per hour to $150 per hour. What is the marginal revenue product (of labor) per hour from adding that third worker? Instructions: Enter your answer as a whole number. +Aarrow_forwardIn the short run, a tool manufacturer has a fixed amount of capital. Labor is a variable input. The cost and output structure that the firm faces is shown in the table below. Calculate the total labor cost and the marginal resource cost, and then fill in the blanks in the labor supply table. Instructions: Enter your answers as a whole number. Units of Labor 10 11 12 13 14 15 Total Product 200 214 226 236 244 250 Wage Rate $7 8 9 10 11 12 Total Labor Cost 700 X 1,712 X 2,035 X 2,360 X 2,684 X 3,000 X Marginal Resource (Labor) Cost 1,012 X 323 X 325 x 324 X 316 Xarrow_forwardColdbox Corporation hires its workers in a perfectly competitive labor market and produces and sells frozen peas in a perfectly competitive product market. The market price for frozen peas is $4 per bag. The table below shows Coldbox' short-run production of frozen peas. Labor is the only variable input. Coldbox Corporation's fixed cost is $500. Number of Workers Bags of frozen peas 0 0 1 60 2 140 3 250 4 320 5 380 6 400 a) If the wage is $200 per worker, identify the profit-maximizing number of workers for Coldbox. Explain using marginal analysis. b) If the price of frozen peas decreases by $2 per bag, would the number of workers hired by Coldbox be more than, less than, or equal to the number of workers you identified in part (a) ? Explain. c) Suppose that Coldbox hires workers from a monopsonistic labor market. Would the wage be higher, lower, or equal to the equilibrium wage in a perfectly competitive market? Explain.arrow_forward
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