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- Alex Potter owns the only well in a town that produces clean drinking water. He faces the following demand P=100-Q, and marginal cost MC=20+2Q, marginal revenue MR= 100-2Q curves. In order to maximize profits, Alex should charge a price of $60 at the profit maximizing quantity with a marginal revenue equal to $60. $60 at the profit maximizing quantity with a marginal revenue equal to $80. $80 at the profit maximizing quantity with a marginal revenue equal to $80. $80 at the profit maximizing quantity with a marginal revenue equal to $60.If demand P=100-Q, TC=800+20Q+Q2 and MC=20+2Q what is the profit maximizing price and the rate of outputSuppose you own fast food takeaway shops, one in Glebe, with lots of competition, and one in Tibooburra, with little competition. In Glebe, the price elasticity of demand is -2.5, while in Tibooburra, it is -2.0. Assume the marginal cost of providing a combo burger is $10. What are the optimal prices of a combo burger in each location?
- Sal's satellite company broadcasts TV to subscribers in Los Angeles and New York. The demand functions for each of these two groups are: QNY = 60 – 0.25PNY QLA = 100 – 0.5PLA where Q is in thousands of subscriptions per year and P is the subscription price per year. The cost of providing Q units of service is given by C = 1000 + 40Q where Q = QNY + QLA: a. What are the profit-maximizing prices and quantities for the New York and Los Angeles markets? (round all answers to two decimal places) In New York, the equilibrium quantity is subscribers at an equilibrium price of $. While in Los Angeles, the equilibrium quantity is subscribers at an equilibrium price of $.Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by q = -200x + 1000 where q is the number of users who log on per month and x is the log-on fee you charge. Your Internet provider bills you as follows. Site maintenance fee: $30 per month High-volume access fee: $0.40 per log-on Find the monthly cost as a function of the log-on fee x. C(x) = Find the monthly profit as a function of x. P(x) = %3D Determine the log-on fee you should charge (in dollars) to obtain the largest possible monthly profit. x = $ per log-on What is the largest possible monthly profit (in dollars)? $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.
- A toy manufacturing from has demand for the product is given by the demand function Q= 500 - 3p. Where P is the price in dollars and q is the quantity sold per year. To sell 200 units, what price should the firm charge.If the marginal cost to make a good is $80 and the price elasticity of demand is -4, what price should be charged via the optimal markup rule? Enter as a value (round to two decimal places if necessary).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 BMW can produce any quantity of cars at a constant marginal cost equal to$50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices andquantities BMW should set for sales in Europe and in the United States to maximize its profits.The demand for BMWs in each market is given by:QE = 8,000 – 80PE and QU = 4,000 – 20 PU,where the subscript E denotes Europe, the subscript U denotes the United States. Assume thatBMW can restrict U.S. sales to authorized BMW dealers only. Support your answersgraphically as well.a. If, by an international agreement between Europe and United States, BMW wereforced to charge the same price in each market, what would be the quantity sold in eachmarket, the equilibrium price, and the company’s profit?b. Suppose now that Europe and United States signed a new trade package under whichBMW now can charge different prices across the two markets. What quantity of BMWsshould the firm sell in each market, and what should the price be…A university football team faces the following demand schedule shown for tickets for each home game it plays. The team plays in a stadium that holds 60,000 fans. It estimates that its marginal cost of attendance, and thus for tickets sold, is zero. The table below reflects this data: Price per Ticket ($) Tickets per Game 100 80 60 40 20 0 Total revenue = $ 20,000 40,000 60,000 80,000 100,000 Using this information, calculate how much total revenue the team will earn.Sal’s satellite company broadcasts TV to subscribers in Los Angeles and New York. The demand functions for each of these two groups are QNY = 60 – 0.25PNY and QLA = 100 – 0.50PLAwhere Q is in thousands of subscriptions per year and P is the subscription price per year.The cost of providing Q units of service is given by C = 1000 + 40Q where Q = QNY + QLA.Which of the following statements is correct?Note: These demand equations must be converted into inverse demand equations in order to solve this question. A. The profit maxmizing quantity in New York is 50 and the profit maximizing price in New York is $100. B. The profit maxmizing quantity in New York is 15 and the profit maximizing price in New York is $140. C. The profit maxmizing quantity in New York is 25 and the profit maximizing price in New York is $140. D. The profit maxmizing quantity in New York is 25 and the profit maximizing price in New York is $100.