ECON UA2: Problem Set 2
Due date: Midnight, Monday April 8
Section 1: The Firm (5 points)
1. Habanero Pibil on Broadway is the best taco truck in NYC. The chef, Adri´an, is planning to give tacos away as an introduction to his new Queens location. He is an optimizer, so he keeps track of his costs like a boss. He says that the cost of his marketing tactic should be measured by its total economic cost rather than only the accounting cost. Which of the following is part of the sale’s economic costs? (1 point)
(a) Employees’ monthly wages
(b) The market price of a taco
(c) Parking
(d) Gasoline
2. Suppose that you were the CEO of Blockbuster during the 1990s (Blockbuster perished in the early 2010s. Your business is booming, but some of your stores are starting to indirectly compete against each other in urban and well-connected cities so you want to recalculate the average market size of each store. Suppose that in the standard market, each consumer has an inelastic demand for video rentals that is inelastic at once per week. Suppose that the deal between Blockbuster and the movie distributors is such that a store’s marginal cost of making a sale i.e. renting 1 copy to an additional customer each week is 20 cents per total number of copies (MC = 20 cents times q). At a price of s10 per rental, what is the number of consumers that maximizes each store’s weekly profits? (1 point)
(a) 5
(b) 15
(c) 50
(d) 150
3. What is the producer surplus from opening a store that has only one customer each week? (1 points)
4. Suppose you are the CEO of a new streaming company for consumers of niche documen- taries. You decide the number of films that go into your platform every week. Which of the following could be part of your firm’s average variable cost of production? (1 point)
(a) Actor and actresses’ wages
(b) Your legal team’s annual contract cost
(c) Your monthly base salary as CEO
(d) Royalties paid to the filming company
5. Consider a market with many firms that have different cost structures. Unless shutdown or exit is optimal, every firm expands production until . (1 point)
(a) Marginal product is maximized
(b) Marginal cost is minimized
(c) Marginal revenue is equal to the minimum of the short-run average total cost.
(d) Marginal revenue, marginal cost, and price are all equal (MR = MC = P).
Section 2: Competitive Market Equilibrium (5 points)
Suppose that there are 200 identical stores in NYC importing Squeeshees, the very best tennis balls from abroad. The total cost of each firm relates to the number of tennis balls imported, q, given by C(q) = F + 10q2. The marginal cost is given by MC = 20q. Use P for the market price for a tennis ball and Q for the market quantity of tennis balls imported and sold.
Find the market quantity and price, the social welfare in a competitive equilibrium. The (inverse) demand for tennis balls is P = 1, 000 − 10/Q (this can mean, for example, if the top and rather wealthy tennis aficionado is willing to pay s999.90 for one Squeeshees). Follow these steps:
6. Find each firm’s supply curve q as a function of the market price, q(P). (1 point)
(a) q(P) = 20P
(b) q(P) = 2P
(a) q(P) = 20/P
(b) q(P) = 200/P
7. Calculate the market supply curve, Q(P). (1 point)
(a) Q(P) = 5P
(b) Q(P) = 10P
(c) Q(P) = 20P
(d) Q(P) = 40P
8. Find the market quantity (Q) and price (P) by finding where demand and supply meet. (1 point)
(a) Q = 25, P = 400
(b) Q = 250, P = 500
(c) Q = 500, P = 400
(d) Q = 5000, P = 500
9. Calculate each firm’s short-run profits if each firm’s fixed costs are s1,250 (1 point)
(a) Π = $2K
(b) Π = $5K
(c) Π = $10K
(d) Π = $20K
10. Calculate the social surplus. First, find the CS, and the PS. Then add them up: (1 point)
(a) CS = s1.250 million, PS = s1.250 million , SS = s2.5 million
(b) CS = s1.350 million, PS = s1.350 million , SS = s2.7 million
(c) CS = s1.450 million, PS = s1.450 million , SS = s2.8 million
(d) CS = s1.550 million, PS = s1.550 million , SS = s3.1 million
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