Suppose that Intel has a monopoly in the market for computer chips. In order to produce X computer chips, it costs Intel C(X) = 2X2. (i) Find the marginal cost of producing a computer chip for Intel. ii) The demand for computer chips is X =12 − 0.25P. Find the level of output that maximizes Intel’s profits. What price is Intel charging
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- Promoters of a major college basketball tournament estimate that the demand for tickets by adults is QA = 5,000 - 10P and the demand for tickets by students is QS = 10,000 - 100P. The marginal cost and average total cost of seating an additional spectator is constant, MC = $10, The promoters want to segment the market and charge adults and students different prices. What is the profit maximizing ticket price for students?Suppose that there is only one zoo in city A. The demand schedule faced by the zoo is P = 2350 − 70Q where P is price per zoo ticket in dollars and Q is the number of zoo tickets per day, and Q can take integer values only. The fixed cost of operating the zoo per day is $480. The marginal cost of serving an additional customer (due to the sales of an additional ticket) is $150. Given the information, the zoo should charge $[? ] per ticket. Continue from the previous question. The deadweight loss caused by the zoo monopolist is $[ ?] per day.The graph below represents sales per week of ABC Inc. Ltd, a monopoly multinational enterprise that supplies Hi-tech components. Use the graph to answer the questions that follow. Suppose the demand and cost curves result in ABC Inc. Ltd earning an economic profit. Do you think ABC Inc. Ltd firm will earn profit in the longrun? Explain your answer. Assume all factors constant. Examine the effects of ABC Inc. Ltd on consumers.
- Suppose there is a monopoly in a market with the cost function: TC = 2+Q2. The demand function in this market is Q = 12 – 2P. (1) What quantity should the monopoly produce to maximize its profit? (2) What price the monopoly should charge to maximize its profit? (3) What is the maximum amount of profit that the monopoly can get in this market?Based on Zangwill (1992). Murray Manufacturing runs a day shift and a night shift. Regardless of the number of units produced, the only production cost during a shift is a setup cost. It costs $8000 to run the day shift and $4500 to run the night shift. Demand for the next two days is as follows: day 1, 2000; night 1, 3000; day 2, 2000; night 2, 3000. It costs $1 per unit to hold a unit in inventory for a shift. a. Determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. (Note: Not all shifts have to be run.) b. After listening to a seminar on the virtues of the Japanese theory of production, Murray has cut the setup cost of its day shift to $1000 per shift and the setup cost of its night shift to $3500 per shift. Now determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. Show that the decrease in setup costs has actually raised the average inventory level. Is this…You are the manager of a pizzeria that produces at a marginal cost of $6 per pizza. The pizzeria is a local monopoly near campus (there are no other restaurants or food stores within 500 miles). During the day, only students eat at your restaurant. In the evening, while students are studying, faculty members eat there. If students have an elasticity of demand for pizzas of −4 and the faculty has an elasticity of demand of −2, what should your pricing policy be to maximize profits?
- Yongling is a monopoly seller of a good in a town. She has a fixed supply of 8 units and no other costs. The market demand curve for the product is P = 20-q. What is her profit if she sells to all her clients at the same price?In a small college town there is only one movie theater. In a given month, if the theater is open, the owners have to pay a fixed amount of $6,000 for the films, ushers, etc., regardless of how many people come to the movies. For simplicity, assume that if the theater is closed, its costs are zero. The demand function for movie tickets in the town is characterized by ??= 45−QT/60 a. Find the profit-maximizing price and quantity of movie tickets, and indicate them on the graph above. How much would the theater make in profits? b. Suppose the local government implements a property tax, so that each month the theater now must pay a lump sum tax of $700. What will be the price and quantity of movie tickets under this tax?You own a road resurfacing business called Dahyun Bricks services located in Seoul. You are the only reservicing business in South Korea. Therefore, you have a local monopoly. Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: p = 20 - Q. The cost function is c =q². Therefore, marginal cost equals 2q. Quantity refersto square metre of road resurfacing. Note the Q denotes aggregate market demand and q denotes your production. Of course, if you are the only supplier than q = Q. a) Compute profit maximising price and output. Compute profits. b) The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in South Koreaand compete for market share. You are concerned with losing market share and profit. So, you offer the potential entrant the following deal. Both firms agree to maximise industry profits (joint profits). The potential entrant…
- If, in a monopoly market, the demand for a product is p = 195 − 0.10x and the revenue function is R = px, where x is the number of units sold, what price will maximize revenue? (Round your answer to the nearest cent.)Suppose a monopoly firm has the following Cost and Demand functions: TC=Q2 P=80-Q MC=2Q MR=80-2Q Carefully explain what the firm is doing and why. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Suppose because of an advertising campaign, which costs $500, the monopoly’s demand curve is: P=100-Q so its MR= 100-2Q. MC=2Q Looking closely at the TC function and the demand curve, explain the effects of the advertising campaign on the equations compared with the equations above in part 1. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Was the advertising campaign successful? Compare 2 w/ 1. Why?There are two different demand curves at your movie theaters. During the weekends, the inverse demand function is P=20-0.001Q, on weekdays, it is P=15-0.002Q. The marginal cost if 25,000 per movie. Determine prices for the weekends and weekdays.