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Chapter 14: Labor Markets and Income
11 problems · 0 figures14-1 §14.SCQ source ↗
Table 14.10 shows levels of employment (Labor), the marginal product at each of those levels, and the price at which the firm can sell output in the perfectly competitive market where it operates.
a. What is the value of the marginal product at each level of labor?
b. If the firm operates in a perfectly competitive labor market where the going market wage is $12, what is the firm’s profit maximizing level of employment?
| Labor | Marginal Product of Labor | Price of the Product |
|---|---|---|
| 1 | 10 | $4 |
| 2 | 8 | $4 |
| 3 | 7 | $4 |
| 4 | 5 | $4 |
| 5 | 3 | $4 |
| 6 | 1 | $4 |
Answer
a. For a firm operating in a perfectly competitive output market, the value of the marginal product is the marginal product of labor multiplied by the firm’s output price.
b. In a perfectly competitive labor market where the going market wage is $12, a profit-maximizing firm will hire workers up to the point where the market wage equals the marginal revenue product. In this case, the market wage equals the marginal revenue product when the labor is 5 because at that level, the marginal revenue product is $12.
14-2 §14.SCQ source ↗
Table 14.11 shows levels of employment (Labor), the marginal product at each of those levels, and a monopoly’s marginal revenue.
a. What is the monopoly’s marginal revenue product at each level of employment?
b. If the monopoly operates in a perfectly competitive labor market where the going market wage is $20, what is the firm’s profit maximizing level of employment?
| Labor | Marginal Product of Labor | Price of the Product |
|---|---|---|
| 1 | 10 | $10 |
| 2 | 8 | $7 |
| 3 | 7 | $5 |
| 4 | 5 | $4 |
| 5 | 3 | $2 |
| 6 | 1 | $1 |
Answer
a. For firms with some market power in their output market, like a monopoly, the value of additional output sold is the firm’s marginal revenue, not the price. This is because they face a downward sloping demand curve for output, which means that in order to sell additional output, the firm must lower its price. The marginal revenue product equals the marginal product of labor multiplied by the marginal revenue.
b. A profit-maximizing firm will hire workers up to the point where the market wage equals the marginal revenue product. If the going market wage is $20, in this scenario, the profit-maximizing level of employment is 4 because at that point, the marginal revenue product is $20.
14-3 §14.SCQ source ↗
Table 14.12 shows the quantity demanded and supplied in the labor market for driving city buses in the town of Unionville, where all the bus drivers belong to a union.
a. What would the equilibrium wage and quantity be in this market if no union existed?
b. Assume that the union has enough negotiating power to raise the wage to $4 per hour higher than it would otherwise be. Is there now excess demand or excess supply of labor?
| Wage Per Hour | Quantity of Workers Demanded | Quantity of Workers Supplied |
|---|---|---|
| $14 | 12,000 | 6,000 |
| $16 | 10,000 | 7,000 |
| $18 | 8,000 | 8,000 |
| $20 | 6,000 | 9,000 |
| $22 | 4,000 | 10,000 |
| $24 | 2,000 | 11,000 |
Answer
a. With no union, the equilibrium wage rate would be $18 per hour and there would be 8,000 bus drivers.
b. If the union has enough negotiating power to raise the wage to $4 per hour higher than under the original equilibrium, the new wage would be $22 per hour. At this wage, 4,000 workers would be demanded while 10,000 would be supplied, leading to an excess supply of 6,000 workers.
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Table 14.13 shows information from the supply curve for labor for a monopsonist, that is, the wage rate required at each level of employment.
a. What is the monopsonist’s marginal cost of labor at each level of employment?
b. If each unit of labor’s marginal revenue product is $13, what is the firm’s profit maximizing level of employment and wage?
| Labor | Wage |
| 1 | 1 |
| 2 | 3 |
| 3 | 5 |
| 4 | 7 |
| 5 | 8 |
| 6 | 10 |
Answer
a. The marginal cost of labor is the cost to the firm of hiring one more worker. To find the marginal cost of labor, one must divide the change in wage by the change in labor.
b. Because the monopsonist is the sole employer in the labor market, it can offer any wage that it wishes. However, the marginal cost of labor will be greater than the wage for any number of workers more than one because hiring more than one worker requires paying a higher wage rate for both the new worker and all previous hires. A monopsony will hire workers up to the point where its demand for labor equals the marginal cost of additional labor.
14-9 §14.SCQ source ↗
Explain in each of the following situations how market forces might give a business an incentive to act in a less discriminatory fashion.
a. A local flower delivery business that had intentionally served only White customers notices that many of the local residents are Black.
b. An assembly line has traditionally only hired men, but it is having a hard time hiring sufficiently qualified workers.
c. A relationship counselor who had a strict policy of only serving straight couples notes the significant increase of LGBTQ people moving into the town.
Answer
a. Firms have a profit incentive to sell to everyone, regardless of race, ethnicity, religion, or gender.
b. A business that needs to hire workers to expand may also find that if it draws only from its accustomed pool of workers—say, White men—it lacks the workers it needs to expand production. Such a business would have an incentive to hire more women and minorities.
c. A discriminatory business that is underpaying its workers may find those workers leaving for jobs with another employer who offers better pay. This market pressure could cause the discriminatory business to behave better.
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Problems and answers are adapted from Principles of Microeconomics 3e by Steven A. Greenlaw, David Shapiro and Daniel MacDonald, OpenStax, and are used under the CC BY-NC-SA 4.0 licence. Access for free at https://openstax.org/books/principles-microeconomics-3e/pages/1-introduction. Illustrations: Copyright Rice University, OpenStax, under CC BY-NC-SA 4.0 license. This adaptation is released under the same licence, is non-commercial, and is neither affiliated with nor endorsed by OpenStax or Rice University.