1.3. Incomplete information. There are two firms competing on price. They sell different commodities, so their demands are D₁ (P1, P2) = 10 - 2p₁ + ¹/2p2 D₂(P1, P2) = 13+ p1 - 3p2. They move simultaneously. Both produce the commodity with linear cost functions. Firm 1 has marginal cost 2. This is known to both firms. Firm 2 can be of two types:
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- You are the manager of a firm that produces products X and Y at zero cost. You know that different types of consumers value your two products differently, but you are unable to identify these consumers individually at the time of the sale. In particular, you know there are three types of consumers (1,000 of each type) with the following valuations for the two products: Consumer Type Product X Product Y 1 $90 $60 2 70 140 3 40 160 d. What are your firm’s profits if you charge $210 for a bundle containing one unit of X and one unit of Y, but also sell the products individually at a price of $90 for product X and $160 for product Y?You are the manager of a firm that produces products X and Y at zero cost. You know that different types of consumers value your two products differently, but you are unable to identify these consumers individually at the time of the sale. In particular, you know there are three types of consumers (1,000 of each type) with the following valuations for the two products: Consumer Type Product X Product Y 1 $90 $60 2 70 140 3 40 160 a. What are your firm’s profits if you charge $40 for product X and $60 for product Y?$ b. What are your profits if you charge $90 for product X and $160 for product Y?$ c. What are your profits if you charge $150 for a bundle containing one unit of product X and one unit of product Y?$ d. What are your firm’s profits if you charge $210 for a bundle containing one unit of X and one unit of Y, but also sell the products individually at a price of $90 for product X and $160 for product Y?$You are the manager of a firm that produces products X and Y at zero cost. You know that different types of consumers value your two products differently, but you are unable to identify these consumers individually at the time of the sale. In particular, you know there are three types of consumers (1,000 of each type) with the following valuations for the two products: a. What are your firm’s profits if you charge $40 for product X and $60 for product Y? b. What are your profits if you charge $90 for product X and $160 for product Y? c. What are your profits if you charge $150 for a bundle containing one unit of product X and one unit of product Y? d. What are your firm’s profits if you charge $210 for a bundle containing one unit of X and one unit of Y, but also sell the products individually at a price of $90 for product X and $160 for product Y?
- Consider an imperfectly competitive service provider, Muscat Automotive Repair Services (MARS), whose total cost of production is C = 30Q+0.165Q2. Also, MARS faces two different market segments, A and B, whose demands can be linearly expressed as QA = 240 - PA and QB = 120 - 0. 5PB. (Hint: the marginal cost is the slope of the total cost function).1. Under a single-price strategy (no market segmentation), find MARS’s profit-maximizing price and quantity.Two firms, Firm 1 and Firm 2, compete by simultaneously choosing prices. Both firms sell an identical product for which each of 100 consumers has a maximum willingness to pay of $40. Each consumer will buy at most 1 unit, and will buy it from whichever firm charges the lowest price. If both firms set the same price, they share the market equally. Costs are given by C; (qi) = 16q¡ . Because of government regulation, firms can only choose prices which are integer numbers, and they cannot price above $40. Could you help me with these questions? a) If Firm 1 chooses Pi price? = 32, Firm 2's best response is to set what b) If Firm 2 chooses the price determined in the previous question, Firm 1's best response is to choose what price? c) If Firm 1 chooses p₁ = 9, Firm 2's best response is a range of prices. What is the lowest price in this range?Suppose that there are two fancy hotels on the online booking platform, say W hotel and Ritz Carlton hotel. Each hotel has the capacity of 20 rooms on the New Year Eve. There are 20 families who are planning to stay at Bay Areas. Suppose that you are the manager and you set the price to maximize the hotel profit. The marginal cost of each hotel room = 500 RMB The largest valuation on the hotel room = 2000 RMB valuation decrease by 100RMS. In total, there are 20 families. Discuss with your peers how many rooms you will offer in the market.
- ASAP PLZ You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P = 650 −3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $1,800, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.)What are your profits if you do not make the investment? $ ____What are your profits if you do make the investment?Instructions: Do not include the investment of $1,800 as part of your profit calculation. $ ____ Should you invest the $1,800? multiple choice Yes - the benefits of establishing…The Able Manufacturing Company and Better Bettors, Inc. are rival firms in the production of a calculator used by horse racing fans for handicapping (determining betting strategies). Each firm has a fixed cost of $100 and a MC = $10 in producing calculators. The demand for the industry’s product is: Q = 900 – 5P, where P is the market price and Q = Q1 + Q2. If each firm must choose how many calculators to produce and sell without knowing of its rival’s production decision, what will be the Cournot equilibrium price and quantities produced? Calculate the profit for each firm.Suppose two firms face market demand of P=150-Q, where . Both firms have the same unit cost of C, cost C=27. Assume the firms compete a la Stackelberg. Firm 1 is the leader and Firm 2 is the follower in this market. What is the follower’s total revenue function? Determine the equilibrium output level for both the leader and the follower. Determine the equilibrium market price. Determine the profits of the leader and the follower.
- Firm A: TC = 10 + 60Q - 10Q^2 + 0.6Q^3 Firm B: TC = 2 + 50Q - 7Q^2 + Q^3 the graph below presents the short-run average cost functions for Firms A and B. a. to which does firm A or B does SRAC1 pertain? b. To which does Firm A or Firm B does SRAC 2 Pertain. c. Firm A and Firm B being the only 2 firms in the market, will tend to engage in fierce price competition in order to win market share and enhance profit. True or false?Two firms produce goods that are imperfect substitutes. If firm 1 charges price p1 and firm 2 charges price p2, then their respective demands are q1 = 12 - 2p1 + p2 and q2 = 12 + p1 - 2p2 So this is like Bertrand competition, except that when p1 > p2, firm 1 still gets a positive demand for its product. Regulation does not allow either firm to charge a price higher than 20. Both firms have a constant marginal cost c = 4. (a) Construct the best reply function BR1(p2) for firm 1. That is, p1 = BR1(p2) is the optimal price for firm 1 if it is known that firm 2 charges a price p2. Construct a Nash equilibrium in pure strategies for this game. Are there any Nash equilibria in mixed strategies? If yes, construct one; if no provide a justification. (b) Notice that for any given price p1, firm 1’s demand increases with p2, so firm 1 is better off when firm 2 charges a high price p2. What is the best reply to p2 = 20? What is the best reply to p2 = 0 (c) What prices for firm 1 are…Two firms produce goods that are imperfect substitutes. If firm 1 charges price p1 and firm 2 charges price p2, then their respective demands are q1 = 12 - 2p1 + p2 and q2 = 12 + p1 - 2p2 So this is like Bertrand competition, except that when p1 > p2, firm 1 still gets a positive demand for its product. Regulation does not allow either firm to charge a price higher than 20. Both firms have a constant marginal cost c = 4. (a) Construct the best reply function BR1(p2) for firm 1. That is, p1 = BR1(p2) is the optimal price for firm 1 if it is known that firm 2 charges a price p2. Construct a Nash equilibrium in pure strategies for this game. Are there any Nash equilibria in mixed strategies? If yes, construct one; if no provide a justification. (b) Notice that for any given price p1, firm 1’s demand increases with p2, so firm 1 is better off when firm 2 charges a high price p2. What is the best reply to p2 = 20? What is the best reply to p2 = 0 (c) What prices for firm 1 are…