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Introduction to Factor Markets - AP Microeconomics

  1. A delivery company hires truck drivers in a competitive labor market. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor (drivers) employed? Labor market table (wage per hour, WW): - At $W = $22: QD=80Q_D = 80 drivers, QS=40Q_S = 40 drivers - At $W = $24: QD=70Q_D = 70 drivers, QS=50Q_S = 50 drivers - At $W = $26: QD=60Q_D = 60 drivers, QS=60Q_S = 60 drivers - At $W = $28: QD=50Q_D = 50 drivers, QS=70Q_S = 70 drivers - At $W = $30: QD=40Q_D = 40 drivers, QS=80Q_S = 80 drivers
    Answer: $W = $26 per hour and 60 drivers This question examines factor markets in the transportation industry, specifically for truck drivers. In factor markets, delivery companies demand drivers based on derived demand—they hire drivers because customers demand package delivery services, not because they want drivers per se. Analyzing the table, we search for equilibrium where quantity demanded equals quantity supplied. At W = $26 per hour, both QD and QS equal 60 drivers, establishing market equilibrium. Students often mistakenly think of labor demand as direct demand, but remember it's derived from the demand for the final service. The transferable approach is to methodically check each wage level in the table, comparing demand and supply quantities. The equilibrium point shows both the market wage and the number of workers employed when the market clears perfectly.
  2. A company hires its factory workers in a competitive market for a wage of 3030 per hour. The company sells its product for 1010. The last worker hired has a marginal product of 2 units per hour. Based on this information, the company is
    Answer: not maximizing its profit and should hire fewer workers. C is correct. First, calculate the last worker's marginal revenue product (MRP). MRP = Marginal Product (MP) × Price (P) = 2 units × 1010/unit = $20. The marginal resource cost (MRC) is the wage, which is 3030. Since MRC (3030) is greater than MRP (2020), the last worker cost the company more than they generated in revenue. To maximize profit, the firm should reduce its workforce until the MRP of the last worker rises to equal the MRC of 3030. A uses incorrect reasoning. B would decrease profits further. D incorrectly states that profit is maximized.
  3. A firm's marginal revenue product (MRP) of a factor of production is best defined as the
    Answer: change in total revenue resulting from employing one additional unit of the factor. C is correct. Marginal revenue product measures the change in a firm's total revenue when it employs one more unit of an input, such as an additional worker or machine. It quantifies the monetary value of an additional input's contribution. A defines total revenue product. B defines marginal resource cost (MRC). D defines average revenue product.
  4. A competitive labor market exists for childcare workers. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor employed? (Quantity of labor is measured in number of workers.)
    Answer: w=$12/hour and L=240 workersw=\$12\text{/hour and }L=240\text{ workers} This question assesses your ability to find equilibrium in factor markets, specifically for childcare workers. Labor demand in this market is derived demand—parents' demand for childcare services creates firms' demand for childcare workers. The table presents wage rates alongside quantities of labor supplied and demanded. Equilibrium is established where these quantities match: at w=$12/hourw = \$12/\text{hour}, supply and demand both equal 240 workers. A common error is misreading the table or selecting a wage where only supply or demand reaches a particular value. To find equilibrium systematically, compare the supply and demand columns row by row. The equilibrium point shows both the market-clearing wage and the number of workers employed at that wage.
  5. A competitive labor market exists for medical assistants in a city. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor employed? (Quantity of labor is measured in number of workers.)
    Answer: w=$18/hour and L=250 workersw=\$18\text{/hour and }L=250\text{ workers} This question tests your understanding of factor markets, specifically how to find equilibrium in a competitive labor market. In factor markets, firms demand labor based on derived demand—the demand for workers comes from the demand for the goods or services those workers produce. The table shows the supply and demand schedules for medical assistants, with wage rates and corresponding quantities of labor supplied and demanded. At equilibrium, the quantity of labor supplied equals the quantity demanded, which occurs at w=$18/hourw = \$18/\text{hour} and L=250L = 250 workers. A common misconception is confusing labor markets with product markets—remember that in labor markets, firms are the demanders and workers are the suppliers. To solve these problems, scan the table to find where quantity supplied equals quantity demanded. Then read the corresponding wage and employment level directly from that row.
  6. A fundamental difference between a product market and a factor market is that in a factor market
    Answer: firms are demanders and households are suppliers, whereas the reverse is true in product markets. B is correct. This reflects the key roles of firms and households in the circular flow of the economy. In factor markets, households supply resources (like labor) and firms demand them. In product markets, firms supply finished goods and households demand them. A is incorrect, as prices in competitive factor markets are also set by supply and demand. C is incorrect; both laws apply in both types of markets. D is incorrect; surpluses and shortages can occur in any market that is not in equilibrium.
  7. A competitive labor market exists for hotel housekeepers. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor employed? (Quantity of labor is measured in number of workers.)
    Answer: w=$12/hour and L=240 workersw=\$12\text{/hour and }L=240\text{ workers} This question tests your understanding of equilibrium in factor markets, specifically for hotel housekeepers. In factor markets, labor demand is derived demand—hotels hire housekeepers because guests demand clean rooms, not because of direct demand for housekeeping labor. The table shows various wage rates with corresponding quantities of labor supplied and demanded. Market equilibrium occurs where quantity supplied equals quantity demanded: at w=$12/hour, both equal 240 workers. A common mistake is looking for the highest or lowest wage rather than the intersection point of supply and demand. To solve these problems efficiently, scan down the table comparing the supply and demand columns. Stop when you find matching values—this row gives you both the equilibrium wage and employment level.
  8. The demand for labor is considered a derived demand primarily because
    Answer: it depends on the demand for the goods and services that the labor is used to produce. C is correct. The demand for any factor of production, including labor, is derived from the demand for the final product it helps create. If demand for a product is high, the demand for the labor and other resources to produce it will also be high. A relates to the concept of utility from income, which influences labor supply, not demand. B describes a government intervention, not the fundamental reason for the nature of labor demand. D states a correct sequence of events but does not explain the economic concept of derived demand.
  9. An increase in the marginal product of auto workers due to the adoption of new robotics technology would most likely cause which of the following changes in the labor market for auto workers?
    Answer: An increase in the demand for auto workers. C is correct. The demand for labor is determined by the marginal revenue product (MRP), which is calculated as Marginal Product (MP) × Marginal Revenue (MR). If the MP of every worker increases due to new technology, their MRP also increases. This shifts the entire labor demand curve to the right, signifying an increase in demand. A is the opposite of the expected effect. B relates to workers' decisions, not firms'. D is incorrect; an increase in demand would, ceteris paribus, lead to a higher equilibrium wage.
  10. The typical upward-sloping supply curve of labor for a specific industry reflects the principle that, ceteris paribus,
    Answer: as wages rise, the opportunity cost of leisure increases, inducing more individuals to supply their labor. B is correct. The upward slope of the labor supply curve is primarily explained by the substitution effect. A higher wage increases the opportunity cost of not working (i.e., consuming leisure), so individuals are incentivized to substitute work for leisure, increasing the quantity of labor supplied. A describes the reasoning behind the downward-sloping demand for labor, not supply. C incorrectly links wages to signals in the product market. D is incorrect; the shape of the supply curve is a market phenomenon, not a result of government regulation.
  11. A movie theater hires ticket clerks in a competitive labor market. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor (clerks) employed? Labor market table (wage per hour, WW): - At $W = $9: QD=45Q_D = 45 clerks, QS=15Q_S = 15 clerks - At $W = $10: QD=40Q_D = 40 clerks, QS=20Q_S = 20 clerks - At $W = $11: QD=35Q_D = 35 clerks, QS=25Q_S = 25 clerks - At $W = $12: QD=30Q_D = 30 clerks, QS=30Q_S = 30 clerks - At $W = $13: QD=25Q_D = 25 clerks, QS=35Q_S = 35 clerks
    Answer: $W = $12 per hour and 30 clerks This question addresses factor markets where movie theaters hire ticket clerks. In factor markets, theaters demand clerks based on derived demand—they need clerks because moviegoers demand ticket services, making labor demand dependent on customer traffic. The table presents wage rates with corresponding quantities demanded and supplied. To find equilibrium, identify where QD equals QS: at W = $12 per hour, both quantity demanded and quantity supplied equal 30 clerks. A frequent misconception is confusing the direction of demand—in factor markets, firms (theaters) are demanders while workers (clerks) are suppliers, opposite to product markets. The systematic strategy involves scanning each wage level and comparing QD to QS values. When these quantities match exactly, you've found the equilibrium wage and employment level where the market clears.
  12. A labor market for construction laborers is shown in the table below. Labor demand is derived from the marginal revenue product (MRP) of laborers. Based on the labor market shown, what is the equilibrium wage and employment? Table: Construction Labor Market (per hour) - Wage ($/hour): 15, 16, 17, 18, 19 - Quantity of labor demanded (laborers): 700, 650, 600, 550, 500 - Quantity of labor supplied (laborers): 400, 450, 500, 550, 600
    Answer: $18 per hour and 550 laborers The skill here is the introduction to factor markets. Derived demand is the demand for a resource that depends on the demand for the product it helps create, and labor demand is determined by the marginal revenue product (MRP), which measures the additional revenue from hiring one more worker. The table presents the quantities of construction laborers demanded and supplied at various wage rates. The equilibrium is at $18 per hour and 550 laborers because this is the point where quantity demanded equals quantity supplied. A common misconception is that labor demand is direct like consumer goods, but it is derived from the product's demand unlike direct demand for the good itself. A transferable strategy is to trace the MRP to understand the downward-sloping labor demand curve. Finally, read the equilibrium wage and employment from the intersection of the labor demand and supply curves.
  13. What is the primary characteristic of a factor market?
    Answer: It is where the resources used in production are bought and sold. C is correct. Factor markets, also called resource markets, are where the factors of production (land, labor, capital, and entrepreneurship) are traded. Firms purchase these resources from households to produce goods and services. A is incorrect because in factor markets, firms are the buyers (demanders) and households are the sellers (suppliers). B describes financial markets, which facilitate the exchange of financial instruments. D describes product markets, where finished goods and services are sold to consumers.
  14. For a firm that is a perfect competitor in the labor market, the marginal resource cost (MRC) of labor is
    Answer: equal to the market wage rate because the firm can hire any quantity of labor at the prevailing wage. B is correct. A perfectly competitive firm in the labor market is a 'wage taker,' meaning it can hire as many workers as it wishes at the market wage without influencing the wage. Thus, the additional cost of hiring one more worker (the MRC) is simply the constant market wage rate. A describes the MRC for a monopsonist. C is incorrect; diminishing marginal product affects the MRP, not the MRC. D describes the profit-maximizing condition (MRP = MRC), not the definition of MRC for a wage-taking firm.
  15. The law of diminishing marginal returns is the primary reason that a firm's
    Answer: short-run demand curve for a variable input is downward-sloping. A is correct. The demand for an input is its marginal revenue product (MRP = MP × MR). Diminishing marginal returns means that as more of a variable input is used, its marginal product (MP) eventually falls. This fall in MP directly causes the MRP to fall, resulting in a downward-sloping demand curve for that input. B is due to economies and diseconomies of scale. C is related to rising marginal costs of production. D is a direct statement of diminishing returns, but A describes its direct consequence on the factor demand curve, which is the key concept in this market.
  16. In a competitive labor market, the law of demand for labor indicates that, ceteris paribus,
    Answer: a higher wage rate leads to a decrease in the quantity of labor demanded by firms. B is correct. Similar to the law of demand for goods and services, the law of demand for labor states that there is an inverse relationship between the price of labor (the wage rate) and the quantity of labor demanded. As the wage rate increases, firms will choose to employ fewer workers. A describes the effect of a supply shift on the equilibrium wage, not the law of demand. C is incorrect; the demand for labor is downward sloping, not vertical. D describes the law of diminishing marginal returns, which explains why the demand curve is downward sloping but is not the law of demand itself.
  17. At the equilibrium wage in a perfectly competitive labor market, which of the following must be true?
    Answer: The number of workers firms want to hire is equal to the number of people willing to work. C is correct. The definition of equilibrium is the point where quantity demanded equals quantity supplied. In the labor market, this means the quantity of labor demanded by all firms equals the quantity of labor supplied by all households at that specific wage rate. A is incorrect; firms hire where MRP=MRC, not where MRP is maximized. B describes a wage above equilibrium. D is an incorrect statement of the market condition.
  18. A firm produces custom t-shirts and sells them in a perfectly competitive market for 1010 each. If the firm installs a new printing machine (a unit of capital) and its output increases from 500 to 540 shirts per day, what is the marginal revenue product (MRP) of this new machine?
    Answer: $400 C is correct. First, determine the marginal product (MP) of the machine, which is the change in total output: 540 - 500 = 40 shirts. Next, calculate the marginal revenue product (MRP) by multiplying the MP by the product price (since P=MR in perfect competition). MRP = MP × P = 40 shirts × 1010/shirt = $400.
  19. A dental office hires dental assistants in a competitive labor market. Based on the labor market shown in the table, what is the equilibrium wage and quantity of labor (assistants) employed? Labor market table (wage per hour, WW): - At $W = $16: QD=36Q_D = 36 assistants, QS=20Q_S = 20 assistants - At $W = $18: QD=32Q_D = 32 assistants, QS=24Q_S = 24 assistants - At $W = $20: QD=28Q_D = 28 assistants, QS=28Q_S = 28 assistants - At $W = $22: QD=24Q_D = 24 assistants, QS=32Q_S = 32 assistants - At $W = $24: QD=20Q_D = 20 assistants, QS=36Q_S = 36 assistants
    Answer: $W = $20 per hour and 28 assistants This question explores factor markets in healthcare, specifically for dental assistants. In factor markets, dental offices demand assistants based on derived demand—they hire assistants because patients demand dental services, making labor demand dependent on the final service demand. Examining the table systematically, we look for where quantity demanded equals quantity supplied. At W = $20 per hour, both QD and QS equal 28 assistants, indicating market equilibrium. Students often confuse factor markets with product markets—remember that in labor markets, the roles reverse with firms as buyers and workers as sellers. The key strategy is to compare QD and QS at each wage level methodically. When you find matching quantities, that wage represents the equilibrium where the market clears with no shortage or surplus of workers.
  20. A firm's demand curve for a single variable input, such as labor, is the firm's
    Answer: marginal revenue product curve, because it indicates the value of hiring each additional worker. B is correct. The marginal revenue product (MRP) curve shows the additional revenue a firm gains from hiring one more unit of an input. A profit-maximizing firm will compare this to the input's cost (MRC) to decide how much to hire. This marginal benefit (MRP) versus marginal cost relationship means the MRP curve acts as the firm's demand curve for the input. A is incorrect because physical product must be converted to revenue to determine demand. C is incorrect. D represents the supply curve of the input to the firm, not its demand.

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