In a stadium there is only one seller of bratwursts (sausages). The inverse demand tion is given by: P(Q) = 10 - Q. The total costs of the seller are TC(Q)=2Q. 1 5000 alculate the revenue function, the marginal revenue function, and the marginal cost tion.
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- Suppose you are a monopolist in the market for a specific Q video game. Your demand curve is given by P = 80- - and 2 your marginal cost curve is MC = Q. Your fixed cost is $400. i) Derive the marginal revenue curve. ii) Calculate the equilibrium price and quantity. iii) What is the profit?Problem 08-09 A monopolist's inverse demand function is estimated as P = 150 – 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2. a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q + Q2 = Q.) MR(Q): Q2 b. Determine the profit-maximizing level of output for each facility. Output for facility 1: Output for facility 2: c. Determine the profit-maximizing price. %24Acme is a monopolist for a good with inverse demand P = 4000 – 6Q, where P is the price in dollars and Q is the amount sold. Acme's variable costs are TVC(Q) = 4Q². With these functions, the marginal revenue is MR(Q) = 4000 – 12Q and marginal cost is MC(Q) = 8Q. a) If Acme has no fixed costs, what is its profit maximizing price? b) If Acme has non-sunk fixed costs of $700,000, is it worth operating or should they shut down?
- 1. A firm faces the following inverse demand curve: P = 500 - 0.25Q Where: Q is the monthly production P is price, measured in dollars per unit. The firm also has a total cost (TC) function of: TC = 200Q. Assuming the firm maximizes profits, answer the following: a) Assuming the firm operates as a monopolist, calculate the following: price, quantity, and profit. Graph and show the equilibrium price and quantity. b) Assuming perfect competition, what are price, quantity and profit? Show on the graph from above.A monopolist faces the demand curve Q(P ) = 50 − P 2 . The firm can produce output with marginal costs MC(Q) = Q and no fixed costs. Hint for the following questions: if revenue is of the form R(Q) = (a − bQ)Q, then the derivative of revenue is a − 2bQ. (a) What is the profit maximizing price for the monopolist in this market? (b) What is the deadweight loss from monopoly in this market, compared to the efficient output that sets price equal to marginal cost? *Please fully explain out any math1) A monopolist faces a demand curve Q = 600 – 10P and has the total cost curve TC(Q) = 200 + 20Q + 2Q². What is the monopolist's marginal revenue and marginal cost? What is the profit-maximizing price and quantity? What is the maximized profit?
- A monopolist has a cost function given by c(y) = y2 and faces a demand curve given by P(y) = 120 − y. a. What is his profit-maximizing level of output? What price will the monopolist charge? b. Suppose you put a lump sum tax of $100 on this monopolist. What would its output be? c. If you wanted to choose a price ceiling for this monopolist so as to maximize consumer plus producer surplus, what price ceiling should you choose? How much output will the monopolist produce at this price ceiling?The following graph gives the demand (D) curve for satellite TV services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local satellite TV company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. ? PRICE (Dollars per subscription) 100 90 80 70 20 10 0 + 0 2 MR True 6 8 10 12 14 QUANTITY (Number of subscriptions) 16 O False ATC MC 18 20 D Which of the following statements are true about this natural monopoly? Check all that apply. Monopoly Outcome In order for a monopoly to exist in this case, the government must have intervened and created it. The satellite TV company is experiencing economies of scale. It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. The satellite TV company…The following graph shows the demand (D) for cable services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local cable company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist.
- (2) Assume a monopolist faces a market demand curve P = 200-Q and has the short-run total cost function C=100+ 10Q. What is the profit-maximizing level of output? What are profits? Graph the marginal revenue, marginal cost, and demand curves, and show the area that represents deadweight loss on the graph.The following graph gives the demand (D) curve for water services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local water company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. ? PRICE (Dollars per hundred cubic feet) 40 36 32 28 24 20 16 opoly analysis 12 B 1 2 3 7 A QUANTITY (Hundreds of cubic feet) MR 4 ATC -MC- 0 10 D Monopoly OutcomeThe following graph shows the demand (D) for gas services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local gas company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist.