Factor Markets — Hard Practice Quiz
A Microeconomics cheat sheet for Factor Markets — every key formula with its symbols defined — plus a hard-level practice quiz to test recall.
Formulas & key concepts
The resources used to produce goods and services: labor, land, physical capital, and human capital.
Manufactured resources such as buildings, machinery, and equipment used to produce other goods and services.
The education, skills, and knowledge embodied in workers that raise their productivity.
Demand for a factor of production that arises from, and depends on, the demand for the goods the factor helps produce.
How an economy's total income is divided among the different factors of production, such as wages to labor and returns to land and capital.
The extra revenue a firm earns from employing one more unit of a factor, equal to the factor's marginal product times the price of the output.
A graph of the value of the marginal product at each quantity of a factor; it is the firm's demand curve for that factor and slopes downward because of diminishing returns.
A firm maximizes profit by employing each factor up to the quantity at which its value of the marginal product equals its price, such as the wage for labor.
The cost of using a unit of a factor such as land or capital for a period of time.
The idea that in competitive markets each factor of production is paid a price equal to its equilibrium value of the marginal product.
A worker's decision about how to divide available time between paid work and other uses.
Time spent not working, which a worker must give up in order to earn income.
A curve showing how many hours a worker chooses to supply at each possible wage rate.
At sufficiently high wages a further raise can reduce hours worked, because the income effect of wanting more leisure outweighs the substitution effect.
The additional revenue a firm gains from hiring one more worker; for a price-taking firm it equals the value of the marginal product of labor.
The additional cost to a firm of employing one more unit of labor.
A market with a single buyer, called a monopsonist, such as the only employer in a town, which can push the wage below the competitive level.
A firm produces a given output at least cost by choosing inputs so that the marginal product per dollar spent is the same for every input.
Wage differences that offset the nonmonetary features of jobs, such as higher pay for dangerous or unpleasant work.
Pay gaps arise from compensating differentials, differences in talent, experience, and human capital, and market interference such as unions and efficiency wages.
Organizations of workers that bargain collectively with employers over wages and working conditions, typically raising members' pay.
The idea that employers may deliberately pay above-market wages to raise worker effort, cut turnover, and attract better workers, which can create wage disparities.
Discrimination remains a genuine source of wage differences; competitive markets tend to erode it, but it can persist through labor-market frictions or, historically, government policy.
In 1914 Henry Ford more than doubled his workers' pay to five dollars a day, sharply cutting turnover and raising output, a famous real-world case of efficiency wages.
Practice quiz
A firm operates in a perfectly competitive output market and a competitive labor market. The price of its output, $P$, decreases. How does this change affect the firm's optimal quantity of labor hired, $L$, and the value of the marginal product of labor, $VMP_L$, at the new equilibrium?
- The $VMP_L$ curve shifts left, leading to a decrease in $L$.
- The $VMP_L$ curve shifts right, leading to an increase in $L$.
- The firm moves along its existing $VMP_L$ curve, decreasing $L$.
- The firm moves along its existing $VMP_L$ curve, increasing $L$.
Answer: The $VMP_L$ curve shifts left, leading to a decrease in $L$.
A firm is the sole employer in a remote town, making it a monopsonist in the labor market. In equilibrium, how does the wage paid by this monopsonist, $W_M$, compare to the marginal factor cost of labor, $MFC_L$, and the value of the marginal product of labor, $VMP_L$?
- $W_M < MFC_L$ and $W_M < VMP_L$.
- $W_M = MFC_L$ and $W_M = VMP_L$.
- $W_M > MFC_L$ and $W_M = VMP_L$.
- $W_M < MFC_L$ and $W_M = VMP_L$.
Answer: $W_M < MFC_L$ and $W_M < VMP_L$.
A firm uses labor ($L$) and physical capital ($K$) to produce output. The wage rate is $W$ and the rental rate of capital is $R$. The firm is currently minimizing costs such that $\frac{MP_L}{W} = \frac{MP_K}{R}$. Suppose a new technology increases the marginal product of capital, $MP_K$, for all levels of capital, while $W$ and $R$ remain constant. To restore cost-minimization, how should the firm adjust its use of labor and capital?
- Increase $K$ and decrease $L$.
- Decrease $K$ and increase $L$.
- Increase both $K$ and $L$.
- Decrease both $K$ and $L$.
Answer: Increase $K$ and decrease $L$.
An individual's wage rate increases significantly. Under what conditions would this wage increase lead to a reduction in the number of hours the individual chooses to work, illustrating a backward-bending labor supply curve?
- When the substitution effect of the wage increase (making leisure more expensive) is stronger than the income effect (making the individual feel richer and want more leisure).
- When the income effect of the wage increase (making the individual feel richer and want more leisure) is stronger than the substitution effect (making leisure more expensive).
- When the individual's demand for leisure is perfectly inelastic.
- When the individual's demand for leisure is perfectly elastic.
Answer: When the income effect of the wage increase (making the individual feel richer and want more leisure) is stronger than the substitution effect (making leisure more expensive).
A firm decides to pay its workers a wage significantly above the market equilibrium wage. According to the efficiency-wage model, what are the primary benefits the firm expects to gain from this strategy, and how do these benefits relate to the concept of human capital?
- Reduced worker effort and increased turnover, leading to a decrease in the firm's human capital.
- Increased worker effort, reduced turnover, and attraction of higher-skilled workers, thereby enhancing the firm's human capital.
- Lower production costs due to reduced wages, which has no direct impact on human capital.
- A decrease in the overall demand for labor in the market, forcing other firms to lower wages.
Answer: Increased worker effort, reduced turnover, and attraction of higher-skilled workers, thereby enhancing the firm's human capital.
A new software innovation significantly increases the marginal product of physical capital (e.g., computers, machinery) in the production of a specific service. The market for this service is competitive, and the price of the service remains constant in the short run. How would this innovation likely affect the derived demand for physical capital and its equilibrium rental rate?
- The derived demand for physical capital would decrease, leading to a lower rental rate.
- The derived demand for physical capital would increase, leading to a higher rental rate.
- The derived demand for physical capital would remain unchanged, but the rental rate would increase.
- The derived demand for physical capital would increase, but the rental rate would decrease due to increased supply.
Answer: The derived demand for physical capital would increase, leading to a higher rental rate.
A country invests heavily in education and training programs, leading to a substantial increase in the human capital of its workforce. Assume competitive markets. According to the marginal productivity theory of income distribution, how would this increase in human capital likely affect the factor distribution of income, specifically the share of national income going to labor?
- The share of income going to labor would decrease because higher human capital leads to lower wages.
- The share of income going to labor would increase because higher human capital raises the value of the marginal product of labor.
- The share of income going to labor would remain unchanged, as human capital only affects individual wages, not the overall distribution.
- The share of income going to labor would shift entirely to capital owners, as capital becomes more productive.
Answer: The share of income going to labor would increase because higher human capital raises the value of the marginal product of labor.
Consider two jobs, Job X and Job Y, that require identical levels of human capital and skill. Job X involves working in extremely hazardous conditions, while Job Y is performed in a safe, comfortable office environment. Based on the concept of compensating differentials, how would the equilibrium wage for Job X compare to Job Y, and what is the underlying economic rationale?
- Job X would pay a lower wage to compensate for the higher risk, attracting workers who prefer risk.
- Job X would pay a higher wage to attract workers to the undesirable conditions, offsetting the nonmonetary disutility.
- Both jobs would pay the same wage because they require identical human capital.
- Job Y would pay a higher wage because it offers better working conditions, making it more competitive.
Answer: Job X would pay a higher wage to attract workers to the undesirable conditions, offsetting the nonmonetary disutility.
A powerful labor union successfully negotiates a wage increase for its members above the competitive equilibrium wage. Assuming firms are price-takers in the output market and still aim to maximize profits, what is the most likely outcome regarding employment and the efficiency of resource allocation?
- Employment will increase, and the labor market will become more efficient.
- Employment will decrease, and the labor market will experience a deadweight loss due to underemployment.
- Employment will remain unchanged, but firms' profits will decrease significantly.
- Employment will decrease, but the labor market will remain efficient as firms adjust to the new wage.
Answer: Employment will decrease, and the labor market will experience a deadweight loss due to underemployment.
In a perfectly competitive labor market, a firm initially discriminates against a certain demographic group, paying them lower wages than equally productive workers from other groups. According to economic theory, why might this discrimination tend to erode over time in a perfectly competitive market, and under what conditions (related to other concepts) might it persist?
- Discrimination persists because competitive firms are always willing to pay higher wages for preferred groups, regardless of productivity.
- Competitive firms seeking to maximize profits would hire the discriminated group at lower wages, driving up their demand and wages, but it could persist if firms adopt efficiency wages for all workers.
- Discrimination erodes because firms would hire the discriminated group at lower wages, increasing their profits, but it could persist if there are labor-market frictions or if firms use efficiency wages for the preferred group.
- Discrimination erodes because workers from the discriminated group would leave the market, forcing firms to pay higher wages to attract other workers.
Answer: Discrimination erodes because firms would hire the discriminated group at lower wages, increasing their profits, but it could persist if there are labor-market frictions or if firms use efficiency wages for the preferred group.
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