All questions
Question 1
Assume a firm operates in a monopsonistic labor market. If this market were to become perfectly competitive, what would be the expected change in the equilibrium wage and level of employment?
- Both the wage and employment would increase. (correct answer)
- The wage would increase, but employment would decrease.
- The wage would decrease, but employment would increase.
- Both the wage and employment would decrease.
Explanation: A monopsonist restricts the quantity of labor hired to Lm (where MFC=MRP) to pay a lower wage Wm (from the supply curve). In a perfectly competitive labor market, firms hire until Lc (where Supply=MRP), and the wage is Wc. Graphically, the competitive outcome (Lc, Wc) involves a higher wage and a higher level of employment than the monopsony outcome (Lm, Wm). Thus, a shift from monopsony to perfect competition would cause both the wage and employment to increase.
Question 2
A small mining town has two large companies that are the only employers of skilled miners. Company X employs 60% of the miners and Company Y employs 40%. Each company acts as a monopsonist in its hiring decisions, but they do not coordinate their employment strategies.
If both companies face identical upward-sloping labor supply curves in their respective market segments, and each has the same marginal revenue product function, which statement best describes the long-run equilibrium compared to a single monopsonist controlling the entire market?
- Employment will be higher and wages will be lower due to implicit competition between monopsonists
- Employment will be lower and wages will be higher due to market segmentation inefficiencies
- Employment and wages will be identical since both scenarios involve monopsonistic exploitation
- Employment will be higher and wages will be higher due to reduced monopsony power per firm (correct answer)
Explanation: With two separate monopsonists, each faces a more limited labor supply than a single monopsonist would face for the entire market. Each company's individual labor supply curve is steeper (less elastic) than the combined market supply curve would be. However, the key insight is that each firm operates independently and cannot fully exploit the entire market's monopsony potential. When monopsony power is divided between two firms, each has less ability to suppress wages and employment than a single unified monopsonist would have. The segmentation creates some implicit competition - if one firm's wage becomes too low relative to the other, workers may attempt to switch (even if imperfectly). This results in higher employment and higher wages compared to unified monopsony control. Choice A incorrectly suggests wages would be lower. Choice B incorrectly suggests employment would decrease. Choice C ignores the important difference between unified and divided monopsony power.
Question 3
This question refers to the same data provided in the previous question.
Based on the labor supply and marginal revenue product data from the previous question, what hourly wage will the profit-maximizing monopsonist pay?
- $14 (correct answer)
- $16
- $18
- $22
Explanation: From the analysis in the previous question, the profit-maximizing quantity of labor is 3 workers. The wage a monopsonist pays is determined by the labor supply curve at the profit-maximizing quantity. According to the table, to hire 3 workers, the firm must pay a wage of 14perhour.ItisacommonerrortochoosetheMFC(18) or the MRP ($22) as the wage. Question 4
In a monopsonistic labor market, the firm's marginal revenue product is given by MRP=50−L and the labor supply is W=20+L. To increase employment above the unregulated monopsony level, which of the following minimum wages would be effective?
- $25
- $32 (correct answer)
- $42
- $55
Explanation: First, find the unregulated monopsony outcome. TFC = W*L = (20+L)L = 20L + L^2. MFC = d(TFC)/dL = 20 + 2L. Set MFC = MRP: 20 + 2L = 50 - L => 3L = 30 => L_m = 10 workers. The monopsony wage is W_m = 20 + 10 = $30. At L=10, the value of MRP and MFC is 20 + 2(10) = 40.Aminimumwagecanincreaseemploymentifitissetabovethemonopsonywage(30) but not above the value of MRP at the monopsony quantity ($40). Let's test the options. A wage of 32isintherange(30, $40]. At W_min = $32, the firm will hire where MRP = $32, so 50 - L = 32 => L = 18. This is more than 10 workers, so employment increases. A wage of $25 is below the monopsony wage and thus ineffective. A wage of $42 is above $40, so the firm hires where MRP = 42 => 50-L=42 => L=8, which is a decrease in employment. Question 5
A firm with monopsony power in the labor market faces an inverse labor supply curve of W=5L and a marginal revenue product curve of MRP=120−5L. How many units of labor will the firm hire to maximize its profit?
- 8 (correct answer)
- 10
- 12
- 20
Explanation: To find the profit-maximizing quantity of labor, the monopsonist sets its marginal factor cost (MFC) equal to its marginal revenue product (MRP). First, find Total Factor Cost (TFC) = W * L = (5L) * L = 5L^2. Next, find MFC by taking the derivative of TFC: MFC = 10L. Now, set MFC = MRP: 10L = 120 - 5L. Solving for L gives 15L = 120, so L = 8. The most common error is to set supply equal to MRP (5L = 120 - 5L), which yields the competitive employment level of L=12.
Question 6
A company currently employs 20 equally productive workers at a wage of $100 per day. To attract a 21st worker, the company finds it must offer a wage of $102 per day to all its workers. What is the marginal factor cost (MFC) of the 21st worker?
- $2
- $102
- $142 (correct answer)
- $2,142
Explanation: The marginal factor cost (MFC) is the change in the total factor cost (TFC). The original TFC is 20 workers × $100/worker = $2,000. The new TFC is 21 workers × $102/worker = $2,142. The MFC of the 21st worker is the difference: $2,142 - $2,000 = 142.Alternatively,theMFCisthewageofthenewworker(102) plus the cost of the raise for the existing 20 workers (20 × ($102 - $100) = 20 × $2 = $40), which is $102 + $40 = $142. Question 7
A profit-maximizing monopsonist is considering hiring one additional worker. To attract this worker, the firm must increase the hourly wage from $15.00 to $15.10 for all its employees. The firm currently employs 50 workers. The marginal factor cost (MFC) of hiring the 51st worker is:
- equal to $15.10, because this is the new market wage the firm must pay.
- greater than $15.10, because the firm must also pay the higher wage to its current workers. (correct answer)
- less than $15.10, due to the diminishing marginal product of the additional labor.
- equal to the marginal revenue product of the 51st worker if the firm decides to hire them.
Explanation: The marginal factor cost (MFC) is the change in total factor cost from hiring one more worker. The new total factor cost is 51 workers * $15.10/worker. The old total factor cost was 50 workers * $15.00/worker. The MFC is (51 * $15.10) - (50 * $15.00) = $770.10 - $750.00 = $20.10. This cost consists of the $15.10 paid to the new worker plus the $0.10 raise given to each of the 50 existing workers (50 * $0.10 = $5.00), for a total of $15.10 + $5.00 = $20.10. This value is greater than the new wage of $15.10.
Question 8
A single large hospital is the primary employer of specialized surgical nurses in an isolated region. This allows the hospital to pay wages below what nurses with similar skills earn in more competitive metropolitan markets. The hospital's ability to exert this market power stems primarily from:
- the high marginal product of its highly skilled nurses.
- the hospital being a monopolist in providing surgical services.
- the inelastic supply of specialized labor due to worker immobility. (correct answer)
- accreditation standards that limit the number of nurses.
Explanation: Monopsony power arises from a lack of competition for an input, in this case, labor. The hospital's power comes from the fact that nurses in the region have few, if any, alternative employers for their specialized skills. This geographic and professional isolation makes the labor supply curve faced by the hospital relatively inelastic, meaning nurses cannot easily switch jobs in response to lower wages. This inelastic supply is the source of the monopsony power.
Question 9
Consider a town where a single large factory is a monopsonistic employer. If the factory's workers form a strong union and negotiate a wage through collective bargaining, the resulting market structure is a bilateral monopoly. Compared to the initial monopsony outcome, a successfully negotiated wage could lead to:
- a lower wage and unambiguously lower employment.
- a higher wage and unambiguously lower employment.
- a lower wage and higher employment.
- a higher wage and a potentially higher level of employment. (correct answer)
Explanation: In a bilateral monopoly, a single seller (the union) faces a single buyer (the monopsonist). The union will negotiate for a wage higher than the monopsony wage. If the negotiated wage is set at a level between the original monopsony wage and the competitive wage, it can increase employment by moving the outcome closer to the competitive equilibrium. If the wage is set too high (above the competitive level), employment will fall. Thus, the wage will be higher, but employment could be higher, lower, or the same, depending on the negotiated wage.
Question 10
Firm A and Firm B are both monopsonists in their respective labor markets and face identical labor supply conditions. Firm A sells its product in a perfectly competitive market, while Firm B is a pure monopolist in its product market. Assuming all else is equal, which of the following is most likely to be true?
- Firm B will hire more labor and pay a higher wage than Firm A.
- Both firms will hire the same amount of labor, but Firm B will pay a lower wage.
- Both firms will hire the same amount of labor and pay the same wage.
- Firm B will hire less labor and pay a lower wage than Firm A. (correct answer)
Explanation: When analyzing firms with different market structures, you need to consider how their position in both labor and product markets affects their hiring decisions and wage-setting behavior.
Both firms are monopsonists (single buyers) in their labor markets, so they have market power over workers and will hire where marginal revenue product (MRP) equals marginal cost of labor (MCL). However, their product market structures create crucial differences in their MRP curves.
Firm A operates in perfect competition, so it sells output at the market price. Firm B is a monopolist, meaning it faces a downward-sloping demand curve and must lower prices to sell more units. This gives Firm B a lower marginal revenue than Firm A at any given output level. Since MRP=MPL×MR, Firm B's MRP curve lies below Firm A's MRP curve. When both firms equate MRP with their identical MCL curves, Firm B will hire fewer workers at the intersection point, which also corresponds to a lower wage on their identical labor supply curves.
Choice A incorrectly suggests Firm B hires more labor and pays higher wages - this reverses the actual relationship. Choice B wrongly claims both firms hire the same amount of labor; the different MRP curves ensure different hiring levels. Choice C compounds this error by also claiming identical wages, ignoring how monopoly power in the product market reduces labor demand.
Remember: A firm's product market power indirectly affects its labor market behavior. Monopolists have lower marginal revenue, leading to reduced labor demand compared to perfectly competitive firms, even when facing identical labor market conditions. Question 11
A monopsonist faces a labor supply curve given by the equation W=10+L, where L is the number of workers and W is the hourly wage. The firm's marginal revenue product of labor is given by MRP=70−2L. What wage will this profit-maximizing firm pay its workers?
- $15
- $25 (correct answer)
- $30
- $40
Explanation: First, derive the Total Factor Cost (TFC): TFC = W * L = (10 + L) * L = 10L + L^2. Second, find the Marginal Factor Cost (MFC) by taking the derivative of TFC with respect to L: MFC = 10 + 2L. Third, set MFC equal to MRP to find the profit-maximizing quantity of labor: 10 + 2L = 70 - 2L, which simplifies to 4L = 60, so L = 15. Finally, substitute L=15 back into the labor supply equation to find the wage: W = 10 + 15 = $25.
Question 12
A key difference between a monopsonist and a perfectly competitive employer is that for the last worker hired by a monopsonist, the marginal revenue product (MRP) is greater than the wage paid. This gap occurs primarily because:
- the firm's marginal factor cost (MFC) is equal to the wage it pays.
- the firm must lower the wage for all previous workers to hire one more.
- the firm must raise the wage for all workers to hire one more, making MFC exceed the wage. (correct answer)
- the firm is also a monopolist in its output market, which inflates the MRP.
Explanation: The monopsonist faces the entire upward-sloping market labor supply curve. To hire an additional worker, it must offer a higher wage not only to the new worker but to all existing workers as well. This makes the marginal factor cost (MFC) of the additional worker—the total increase in labor costs—greater than the wage paid to that worker. The firm maximizes profit by hiring until MRP = MFC. Since MFC > Wage, it must be that MRP > Wage for the last worker hired.
Question 13
A single logging company is the only employer in a remote mountain town, making it a monopsonist. In a nearby coastal city, many logging companies compete for workers. The elasticity of labor supply faced by the mountain company is likely to be , which gives it monopsony power relative to a company in the city.
- perfectly elastic; no
- relatively elastic; significant
- relatively inelastic; significant (correct answer)
- relatively inelastic; no
Explanation: Monopsony power is the ability of a single buyer to influence the price of an input. This power is greater when the supply of the input is more inelastic. In the remote town, workers have fewer alternative employers, so their supply of labor is relatively inelastic (less responsive to wage changes). This inelasticity allows the company to pay a lower wage than it would in a competitive market. In the city, workers have many options, so the supply of labor to any single firm is relatively elastic, limiting its monopsony power.
Question 14
If a government imposes a binding minimum wage in a monopsonistic labor market, which of the following outcomes is possible under certain conditions?
- Employment must decrease, but the total wages paid to workers will increase.
- The unemployment rate will decrease, but the firm's profits will increase.
- Employment will increase, but the market wage will decrease.
- Both the level of employment and the market wage will increase. (correct answer)
Explanation: When you encounter questions about minimum wage policies in different market structures, remember that the effects depend critically on whether the labor market is competitive or has monopsony power. A monopsonist is a single buyer of labor who can influence wages by hiring fewer workers, typically paying below the competitive wage.
In a monopsonistic labor market, a carefully set minimum wage can actually increase both employment and wages simultaneously. Here's why: monopsonists normally restrict hiring to keep wages artificially low. When a binding minimum wage is imposed at the right level—above the monopsony wage but not too high—it forces the firm to pay more per worker while potentially making it profitable to hire additional workers. The minimum wage essentially eliminates the monopsonist's ability to suppress wages, moving the market closer to competitive outcomes.
Option A incorrectly assumes employment must fall, which would be true in competitive markets but not necessarily under monopsony. Option B suggests unemployment decreases while firm profits increase—this contradicts basic economic logic since higher wages and employment both increase the firm's labor costs. Option C proposes that employment rises while wages fall, which is impossible when implementing a binding minimum wage that by definition sets wages above the current level.
The key insight for exams: minimum wage effects differ dramatically between competitive and monopsonistic markets. In competitive markets, minimum wages typically reduce employment. In monopsonistic markets, they can increase both wages and employment by correcting market power distortions. Always identify the market structure first.
Question 15
A monopsonist's marginal revenue product of labor is MRP=90−L, and it faces a labor supply curve of W=L. What is the value of the deadweight loss created by this monopsony?
- $112.50
- $225.00 (correct answer)
- $337.50
- $450.00
Explanation: First, find the monopsony outcome: TFC = L*W = L^2, so MFC = 2L. Set MFC = MRP => 2L = 90 - L => 3L = 90 => L_m = 30. The monopsony wage is W_m = 30. Second, find the competitive outcome: Set Supply = MRP => L = 90 - L => 2L = 90 => L_c = 45. The competitive wage is W_c = 45. The deadweight loss is the area of a triangle. The height of the triangle is the difference in quantity (Lc - Lm = 45 - 30 = 15). The base is the difference between MRP and the wage at Lm. At Lm=30, MRP = 90 - 30 = 60, and W = 30. So the base is 60 - 30 = 30. The area is 0.5 * base * height = 0.5 * 30 * 15 = $225.