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- You are the manager of a firm that sells a “commodity” in a market that resembles perfect competition, and your analytics team estimates that your cost function is C(Q) = 2Q + 2Q2. Unfortunately, due to production lags, you must make your output decision prior to knowing for certain the price that will prevail in the market. You believe that there is a 65 percent chance the market price will be $200 and a 35 percent chance it will be $400. Calculate the expected market price. $ What output should you produce in order to maximize expected profits? units What are your expected profits? $You are the manager of a firm that sells a “commodity” in a market that resembles perfect competition, and your analytics team estimates that your cost function is C(Q) = 2Q + 3Q2. Unfortunately, due to production lags, you must make your output decision prior to knowing for certain the price that will prevail in the market. You believe that there is a 70 percent chance the market price will be $200 and a 30 percent chance it will be $600. a.Calculate the expected market price. b.What ouptut should you produce in order to maximize expected profits? c.What are your expected profits?You are the manager of a firm that sells a “commodity” in a market that resembles perfect competition, and your analytics team estimates that your cost function is C(Q) = 2Q + 2Q2. Unfortunately, due to production lags, you must make your output decision prior to knowing for certain the price that will prevail in the market. You believe that there is a 60 percent chance the market price will be $350 and a 40 percent chance it will be $700. a. Calculate the expected market price. b. What ouptut should you produce in order to maximize expected profits? c. What are your expected profits?
- You have been promoted to be the new manager of Nefertiti Hotel, and you must decide where to build a new hotel. The finance department believes that Morocco is the better option due to the tax benefits of $5 million, while the marketing department estimates the present value of gross operating profits to be only $10 million in Morocco compared to $14 million in Tunisia. If it costs $15 million to build the hotel in either location, would it be more profitable to build in Morocco or Tunisia? If the hotel is located in Morocco, what would the firm's economic profits be?compute, show solution, explainTwo firms compete in a homogeneous product market where the inverse demand function is P = 20 − 5Q (quantity is measured in millions). Firm 1 has been in business for one year, while firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $2 million regardless of its production decision. Firm 1’s marginal cost is $2 and firm 2’s marginal cost is $10. The current market price is $15 and was set optimally last year when firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market. a. Why do you think firm 1’s marginal cost is lower than firm 2’s marginal cost? b. Determine the current profits of the two firms. c. What would happen to each firm’s current profits if firm 1 reduced its price to $10 while firm 2 continued to charge $15? d. Suppose that, by cutting its price to $10, firm 1 is able to drive firm 2 completely out of the market. After firm 2 exits the market, does firm 1 have an incentive to raise…As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 40 percent chance of low demand and a 60 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000 −450Q and P = 600,000 −250Q, respectively. Your cost function is C(Q) = 170,000 + 256,000Q. How many new homes should you build, and what profits can you expect? a. Number of homes you should build: _____ homes b. Profits you can expect: $
- 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.As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 – 400Q and P = 500,000 – 275Q, respectively. Your cost function is C(Q) = 140,000 + 240,000Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 40 percent chance of low demand and a 60 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 500,000 −200Q and P = 900,000 −125Q, respectively. Your cost function is C(Q) = 105,000 + 631,500Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $
- You’re the manager of global opportunities for a U.S. manufacturer, who is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, Philippines, and Singapore as described next in the table below. The product sells for $10 and has unit costs of $8. If you can enter only one market, and the cost of entering the market (regardless of which market you select) is $250,000, should you enter one of these markets? If so, which one? If you enter, what is your expected profit?As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 80 percent chance of low demand and a 20 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 −300Q and P = 800,000 −200Q, respectively. Your cost function is C(Q) = 180,000 + 260,000Q. How many new homes should you build, and what profits can you expect? Give typing answer with explanation and conclusionQuestion: As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 − 400Q and P = 500,000 − 275Q, respectively. Your cost function is C(Q) = 140,000 + 240,000Q. How many new homes should you build, and what profits can you expect?