Department of Economics College of Saint Benedict | Saint John's University Fall Semester 2015 Louis Johnston Economics 111 Exam #2 Model answers Part I. True, False, Uncertain Questions. (8 total points; 10 minutes) For each of the following statements, state whether it is true, false, or uncertain. If it is true, prove why it is true. If it is false, explain why it is false and provide a correct analysis. If it is uncertain, show how the statement can be true in some instances and false in others. 1. (4 points) Suppose that a firm is earning a negative economic profit (i.e. the firm is making a loss in economic terms.) This implies that the firm’s accounting profit must also be negative. Accounting profit = revenue – explicit costs Economic profit = revenue – explicit costs – implicit costs Thus, Economic profit = Accounting profit – implicit costs If implicit costs > accounting profit Economic profit is negative False 1 2. (4 points) Suppose that sellers of bottled water find that the quantity demanded by consumers changes very little when the price falls or rises. This implies that the price elasticity of demand for bottled water is very inelastic. True. The price elasticity of demand is the percentage change in quantity demanded that results from a 1 percent change in price. If the quantity demanded changes very little then this elasticity will be close to 0, which implies that the demand for bottled water is very inelastic. 2 Part II. Short answer questions (32 total points; 45 minutes) 1. (8 total points) The figure below shows the demand curve (D) for general admission concert tickets to see Anthony Benedetto, a singer who covers all of Tony Bennett’s greatest hits. The marginal cost (MC) of an additional ticket sold is $10. a. (4 points) Suppose that the concert promoter can charge any price they choose but according to city law they cannot price discriminate. What price will she charge if she wants to maximize her profit? Explain your reasoning. Since the promoter can choose any price, they will find the number of tickets where marginal revenue (MR) equals marginal cost (MC) and then charge the price associated with this quantity. In this case, MR = MC at 20 tickets, and consumers are willing to pay $30 for 20 tickets. 3 P Q 50 45 40 35 30 25 20 15 10 0 5 10 15 20 25 30 35 40 Total Total Revenue Cost Profit 0 0 0 225 50 175 400 100 300 525 150 375 600 200 400 625 250 375 600 300 300 525 350 175 400 400 0 b. (4 points) Suppose that the city in which the concert is held relaxes its law and allows rush tickets, i.e. tickets available one hour prior to the concert on a first-come, first-served basis. At what price should the promoter offer these tickets? Explain your reasoning. The promoter’s marginal cost is $10, so if they charge a price slightly above that they will maximize their profit on the rush tickets. For example, if they can only charge prices in $5 increments, the best choice is to charge $15; they will sell 15 more tickets and earn $225 of revenue and incur costs of $150 for a profit of $75. 4 2. (12 total points) Suppose that the market for distilled water is perfectly competitive. The market demand and supply curves are given in the table below: Price ($ per liter) Quantity demanded (thousands of liters) Quantity supplied (thousands of liters) 6 5 4 3 2 1 0 0 3 6 9 12 15 18 18 15 12 9 6 3 0 a. (4 points) Find the equilibrium price and equilibrium quantity in this market. Explain your reasoning. The equilibrium price is $3 because that is where the quantity supplied and the quantity demanded are equal to each other, at 9000 liters. b. (4 points) Suppose that a price floor is imposed on this market at a price of $5 per liter. How, if at all, will the quantity demanded and quantity supplied of distilled water be affected? If the market is affected, calculate the amount of the excess demand or excess supply. If not, explain why the market is unaffected by the price floor. At $5 the quantity demanded is 3000 liters but quantity supplied is 15,000, so there is an excess supply of distilled water equal to 12,000 liters c. (4 points) Is total economic surplus in this market affected by the price floor? If so, please calculate the amount of total economic surplus that is lost due to the price floor, showing your work and explaining your reasoning. If total economic surplus is not affected by the price floor, please explain why it not affected. Total economic surplus is affected. Instead of 5000 liters bought only 3000 are purchased; the lost surplus is ½ (9000-3000)*(5 – 1) = $12,000 5 3. (12 points) Suppose that a laundry has the following costs for washing men’s dress shirts: Output per day (shirts) 0 40 80 120 160 200 Total cost (dollars) Marginal cost 100 110 140 190 250 330 0.25 0.75 1.25 1.50 2.00 a. (4 points) Briefly explain the meaning of the term marginal cost and calculate the firm’s marginal cost for each level of output. Please write your results in the table above. Marginal cost is the additional cost incurred when a firm produces an additional unit of output. b. (4 points) Suppose that the market price for washing men's shirts is $1.50 per shirt. What is the firm's profit-maximizing level of output? Explain your reasoning. At an output of 160 shirts the P = MC. Thus, 160 shirts is the profit-maximizing level of output. c. (4 points) Suppose that the market price for washing men's shirts fell to $0.50 per shirt. Should the firm stay in business in the short run? Explain your reasoning. At a price of $0.50 per shirt, the firm would clean 40 shirts. Their total revenue is $20 and their total cost is $110, so their loss is $90. If they close they will lose $100, so yes they should stay in business in the short run. 6