Question 1 · free-response
10 marksEvergreen Planters is a typical profit-maximizing firm that manufactures and sells ceramic flowerpots in a constant-cost, perfectly competitive market that is currently in long-run equilibrium.
A. Draw correctly labeled side-by-side graphs for the ceramic flowerpot market and for Evergreen Planters, and show each of the following.
i. The market equilibrium price and quantity, labeled \(P_M\) and \(Q_M\), respectively
ii. Evergreen Planters’ profit-maximizing price and quantity, labeled \(P_E\) and \(Q_E\), respectively
iii. Evergreen Planters’ average total cost curve consistent with long-run equilibrium, labeled ATC
B. Suppose the local government imposes an annual lump-sum business license fee on all ceramic flowerpot producers. What will happen to Evergreen Planters’ profit-maximizing quantity in the short run? Explain.
C. Suppose that consumer demand for ceramic flowerpots increases due to a gardening trend.
i. On your market graph in part A, show the short-run effect of this increase in demand on the market equilibrium price and quantity, labeled \(P^*\) and \(Q^*\), respectively.
ii. In the long run, will the number of firms in the ceramic flowerpot market increase, decrease, or remain unchanged? Explain.
D. Evergreen Planters hires workers in a perfectly competitive labor market at a constant daily wage of $120. At its current employment level, the marginal product of the last worker hired is 15 pots per day, and the market price of a flowerpot is $10. Is Evergreen Planters currently maximizing profit by hiring this number of workers, or should it hire more or fewer workers? Explain using marginal revenue product.
E. Evergreen Planters also produces decorative garden urns. When the firm expands its production facility and increases production from 200 urns per week to 400 urns per week, its long-run total cost increases from $2,400 to $4,000.
i. Calculate Evergreen Planters’ long-run average total cost of producing 400 urns. Show your work.
ii. As Evergreen Planters increases production from 200 to 400 urns, is it experiencing economies of scale, diseconomies of scale, or constant returns to scale? Explain using numbers.
A. Draw correctly labeled side-by-side graphs for the ceramic flowerpot market and for Evergreen Planters, and show each of the following.
i. The market equilibrium price and quantity, labeled \(P_M\) and \(Q_M\), respectively
ii. Evergreen Planters’ profit-maximizing price and quantity, labeled \(P_E\) and \(Q_E\), respectively
iii. Evergreen Planters’ average total cost curve consistent with long-run equilibrium, labeled ATC
B. Suppose the local government imposes an annual lump-sum business license fee on all ceramic flowerpot producers. What will happen to Evergreen Planters’ profit-maximizing quantity in the short run? Explain.
C. Suppose that consumer demand for ceramic flowerpots increases due to a gardening trend.
i. On your market graph in part A, show the short-run effect of this increase in demand on the market equilibrium price and quantity, labeled \(P^*\) and \(Q^*\), respectively.
ii. In the long run, will the number of firms in the ceramic flowerpot market increase, decrease, or remain unchanged? Explain.
D. Evergreen Planters hires workers in a perfectly competitive labor market at a constant daily wage of $120. At its current employment level, the marginal product of the last worker hired is 15 pots per day, and the market price of a flowerpot is $10. Is Evergreen Planters currently maximizing profit by hiring this number of workers, or should it hire more or fewer workers? Explain using marginal revenue product.
E. Evergreen Planters also produces decorative garden urns. When the firm expands its production facility and increases production from 200 urns per week to 400 urns per week, its long-run total cost increases from $2,400 to $4,000.
i. Calculate Evergreen Planters’ long-run average total cost of producing 400 urns. Show your work.
ii. As Evergreen Planters increases production from 200 to 400 urns, is it experiencing economies of scale, diseconomies of scale, or constant returns to scale? Explain using numbers.
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Worked solution
A.
i. The market graph displays a downward-sloping market demand curve (D) and an upward-sloping market supply curve (S), with the intersection determining the equilibrium price \(P_M\) and quantity \(Q_M\).
ii. The firm graph is drawn directly to the right of the market graph. As a price taker, Evergreen Planters faces a perfectly elastic demand curve: a horizontal line extended from \(P_M\) labeled \(d = \text{MR} = \text{AR} = P_E\). The firm’s upward-sloping marginal cost (MC) curve intersects MR at the profit-maximizing quantity \(Q_E\).
iii. Because the market is in long-run equilibrium, the firm earns zero economic profit (normal profit). Thus, the U-shaped average total cost (ATC) curve must be tangent to the horizontal demand curve at \(Q_E\), and the MC curve passes directly through the minimum point of the ATC curve.
B.
The firm's profit-maximizing output will remain unchanged in the short run. A lump-sum fee is a fixed cost, which increases total fixed cost (TFC) and average total cost (ATC), but does not alter marginal cost (MC) or marginal revenue (MR). Since the profit-maximization rule is \(\text{MR} = \text{MC}\), the output level remains at \(Q_E\).
C.
i. An increase in consumer demand shifts the market demand curve to the right (\(D_1 \to D_2\)), resulting in a higher market equilibrium price \(P^* > P_M\) and a higher market equilibrium quantity \(Q^* > Q_M\).
ii. The number of firms in the market will increase in the long run. In the short run, the higher market price \(P^*\) causes existing firms to earn positive economic profits (\(P > \text{ATC}\)). Because there are no barriers to entry in a perfectly competitive market, these economic profits incentivize new firms to enter the market.
D.
Evergreen Planters should hire more workers.
- The marginal revenue product of labor is \(\text{MRP}_L = \text{MP}_L \times P = 15 \times \$10 = \$150\).
- The marginal factor cost (wage) is \(\text{MFC} = W = \$120\).
- Because \(\text{MRP}_L > \text{MFC}\) (\(\$150 > \$120\)), the revenue generated by hiring an additional worker exceeds the cost of hiring that worker, so hiring more workers will increase total profit.
E.
i. \(\text{LRATC}_{400} = \frac{\text{LRTC}}{\text{Quantity}} = \frac{\$4,000}{400} = \$10\) per urn.
ii. Evergreen Planters is experiencing economies of scale. When producing 200 urns, \(\text{LRATC}_{200} = \frac{\$2,400}{200} = \$12\). When production increases to 400 urns, LRATC falls from $12 to $10. A decrease in long-run average total cost as output increases indicates economies of scale.
i. The market graph displays a downward-sloping market demand curve (D) and an upward-sloping market supply curve (S), with the intersection determining the equilibrium price \(P_M\) and quantity \(Q_M\).
ii. The firm graph is drawn directly to the right of the market graph. As a price taker, Evergreen Planters faces a perfectly elastic demand curve: a horizontal line extended from \(P_M\) labeled \(d = \text{MR} = \text{AR} = P_E\). The firm’s upward-sloping marginal cost (MC) curve intersects MR at the profit-maximizing quantity \(Q_E\).
iii. Because the market is in long-run equilibrium, the firm earns zero economic profit (normal profit). Thus, the U-shaped average total cost (ATC) curve must be tangent to the horizontal demand curve at \(Q_E\), and the MC curve passes directly through the minimum point of the ATC curve.
B.
The firm's profit-maximizing output will remain unchanged in the short run. A lump-sum fee is a fixed cost, which increases total fixed cost (TFC) and average total cost (ATC), but does not alter marginal cost (MC) or marginal revenue (MR). Since the profit-maximization rule is \(\text{MR} = \text{MC}\), the output level remains at \(Q_E\).
C.
i. An increase in consumer demand shifts the market demand curve to the right (\(D_1 \to D_2\)), resulting in a higher market equilibrium price \(P^* > P_M\) and a higher market equilibrium quantity \(Q^* > Q_M\).
ii. The number of firms in the market will increase in the long run. In the short run, the higher market price \(P^*\) causes existing firms to earn positive economic profits (\(P > \text{ATC}\)). Because there are no barriers to entry in a perfectly competitive market, these economic profits incentivize new firms to enter the market.
D.
Evergreen Planters should hire more workers.
- The marginal revenue product of labor is \(\text{MRP}_L = \text{MP}_L \times P = 15 \times \$10 = \$150\).
- The marginal factor cost (wage) is \(\text{MFC} = W = \$120\).
- Because \(\text{MRP}_L > \text{MFC}\) (\(\$150 > \$120\)), the revenue generated by hiring an additional worker exceeds the cost of hiring that worker, so hiring more workers will increase total profit.
E.
i. \(\text{LRATC}_{400} = \frac{\text{LRTC}}{\text{Quantity}} = \frac{\$4,000}{400} = \$10\) per urn.
ii. Evergreen Planters is experiencing economies of scale. When producing 200 urns, \(\text{LRATC}_{200} = \frac{\$2,400}{200} = \$12\). When production increases to 400 urns, LRATC falls from $12 to $10. A decrease in long-run average total cost as output increases indicates economies of scale.
Marking scheme
Question 1 Scoring Guidelines (10 points total):
Part A (4 points):
- Point 1: 1 point for drawing a correctly labeled market graph with a downward-sloping demand curve (D) and an upward-sloping supply curve (S), and labeling the market equilibrium price as \(P_M\) and the market equilibrium quantity as \(Q_M\).
- Point 2: 1 point for drawing a correctly labeled graph for Evergreen Planters showing a horizontal demand and marginal revenue curve (\(d = \text{MR}\)) extended from the market price \(P_M\) and labeling the firm's price as \(P_E\).
- Point 3: 1 point for showing a rising marginal cost (MC) curve and the firm's profit-maximizing quantity, labeled \(Q_E\), where \(\text{MR} = \text{MC}\).
- Point 4: 1 point for showing the average total cost (ATC) curve tangent to the firm's \(d = \text{MR}\) curve at \(Q_E\) and the MC curve passing through the minimum point of the ATC curve.
Part B (1 point):
- Point 5: 1 point for stating that Evergreen Planters' profit-maximizing quantity will not change in the short run and explaining that a lump-sum fee is a fixed cost that does not affect marginal cost (MC) or marginal revenue (MR).
Part C (2 points):
- Point 6: 1 point for showing a rightward shift of the market demand curve on the market graph from part A and labeling the new market equilibrium price as \(P^*\) and new market equilibrium quantity as \(Q^*\).
- Point 7: 1 point for stating that the number of firms will increase in the long run and explaining that the higher market price creates positive economic profit in the short run, attracting new firms to enter the market.
Part D (1 point):
- Point 8: 1 point for stating that Evergreen Planters should hire more workers and explaining that the marginal revenue product of labor (\(\text{MRP}_L = \$150\)) is greater than the wage / marginal factor cost (\(\text{MFC} = \$120\)).
Part E (2 points):
- Point 9: 1 point for calculating the long-run average total cost of producing 400 urns as $10 per urn and showing the work: \(\text{LRATC} = \frac{\$4,000}{400} = \$10\).
- Point 10: 1 point for stating that Evergreen Planters experiences economies of scale and explaining that as output increases from 200 to 400 urns, long-run average total cost decreases from $12 (\(\frac{\$2,400}{200}\)) to $10 (\(\frac{\$4,000}{400}\)).
Part A (4 points):
- Point 1: 1 point for drawing a correctly labeled market graph with a downward-sloping demand curve (D) and an upward-sloping supply curve (S), and labeling the market equilibrium price as \(P_M\) and the market equilibrium quantity as \(Q_M\).
- Point 2: 1 point for drawing a correctly labeled graph for Evergreen Planters showing a horizontal demand and marginal revenue curve (\(d = \text{MR}\)) extended from the market price \(P_M\) and labeling the firm's price as \(P_E\).
- Point 3: 1 point for showing a rising marginal cost (MC) curve and the firm's profit-maximizing quantity, labeled \(Q_E\), where \(\text{MR} = \text{MC}\).
- Point 4: 1 point for showing the average total cost (ATC) curve tangent to the firm's \(d = \text{MR}\) curve at \(Q_E\) and the MC curve passing through the minimum point of the ATC curve.
Part B (1 point):
- Point 5: 1 point for stating that Evergreen Planters' profit-maximizing quantity will not change in the short run and explaining that a lump-sum fee is a fixed cost that does not affect marginal cost (MC) or marginal revenue (MR).
Part C (2 points):
- Point 6: 1 point for showing a rightward shift of the market demand curve on the market graph from part A and labeling the new market equilibrium price as \(P^*\) and new market equilibrium quantity as \(Q^*\).
- Point 7: 1 point for stating that the number of firms will increase in the long run and explaining that the higher market price creates positive economic profit in the short run, attracting new firms to enter the market.
Part D (1 point):
- Point 8: 1 point for stating that Evergreen Planters should hire more workers and explaining that the marginal revenue product of labor (\(\text{MRP}_L = \$150\)) is greater than the wage / marginal factor cost (\(\text{MFC} = \$120\)).
Part E (2 points):
- Point 9: 1 point for calculating the long-run average total cost of producing 400 urns as $10 per urn and showing the work: \(\text{LRATC} = \frac{\$4,000}{400} = \$10\).
- Point 10: 1 point for stating that Evergreen Planters experiences economies of scale and explaining that as output increases from 200 to 400 urns, long-run average total cost decreases from $12 (\(\frac{\$2,400}{200}\)) to $10 (\(\frac{\$4,000}{400}\)).