1. CLARA is a producer in a monopoly industry. Her demand curve, total revenue curve, marginal revenue curve, total cost curve and marginal cost curve are given as follows: P = 40 – Q [or, Q = 40 – P], TR = 40Q – Q?, MR = 40 –- 2Q, TC = 20 + Q2², MC = 20 a) Find the profit-maximizing level of output for CLARA. b) Find level of profit. c) Can CLARA earn a positive long-run economic profit? Why? Why not?
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- You are the manager of a monopoly, and your demand and cost functions are given by P = 300 − 3Q and C(Q) = 1,500 + 2Q2, respectively. a. What price–quantity combination maximizes your firm’s profits? b. Calculate the maximum profits. c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price–quantity combination? d. What price–quantity combination maximizes revenue? e. Calculate the maximum revenues. f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity combination?You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 300 − 3Q and C(Q) = 1,500 + 2Q2, respectively. a. What price-quantity combination maximizes your firm’s profits? Price: Quantity: b. Calculate the maximum profits. $ c. Is demand elastic, inelastic unit elastic Elastic d. What price-quantity combination maximizes revenue? Price: Quantity: e. Calculate the maximum revenues. $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price-quantity combination? multiple choice Elastic Unit elastic InelasticFor a monopoly, why is marginal revenue less than price? a) If a monopoly wishes to increase sales, it must raise the price to all customers. The impact of the price effect alone causes marginal revenue to be less than price. b) If a monopoly wishes to increase sales, it must lower the price to all customers. The impact of the quantity effect alone causes marginal revenue to be less than price. If a monopoly wishes to increase sales, it must lower the price to all customers. The marginal revenue will be less than the price because of the impact of the price effect working with the quantity effect. d) If a monopoly wishes to increase sales, it must raise the price to all customers. The impact of the price effect, working with the quantity effect, causes marginal revenue to be less than price. If a monopoly wishes to increase sales, it must lower the price to all customers. The impact of the price effect alone causes marginal revenue to be less than price.
- 2. Suppose the cost function for a monopoly is given by TC =F+c.q where TC is the total cost, F is the fixed cost and q is the output of the firm. The demand function for the monopoly is given by q = A-bP where A > 0 and b > 0. Find out the profit maximizing price, quantity, and profit for the monopoly. Also find out the expression for the marginal revenue of the monopoly as well as the elasticity of demand facing the monopoly.You are a consultant who is advising a monopoly on the optimal pricing strategy. Your analysis has yielded the following information. • The marginal cost (MC) is $3. • The demand equation is P = 90 - 3Q . The total cost (TC) is given by 35+ 3Q The marginal revenue (MR) is given by 90 - 6Q Based on this information, answer the following questions. Show FULL calculations! (a) Following the concepts of profit maximization, what is the profit maximizing quantity for this monopoly? (b) Following the concepts of profit maximization, what is the profit maximizing price for this monopoly? (c) Following the concepts of profit maximization, what is the monopoly's profit at the profit maximization point?Assume there is no price discrimination: Matthew, Rachel, Janice, and Mandy own the only ice company in town (they have a monopoly on the ice market). Matthew wants to sell as much ice as possible without losing money. Rachel wants the ice company to bring in as much revenue as possible. Janice wants to maximize total surplus and Many wants to make the largest possible profit. Use ONE clearly-labelled graph of the ice company’s marginal revenue, demand, and cost curves to show the price and quantity (i.e., ice) each person desires. Provide explanation.
- Q1. Consider the following graph for a pure monopoly firm selling electricity. (a)What are the profit maximization output and price? How much is the profit? (b)Suppose the demand for electricity increases due to the unusually cold weather. Would the profit maximizing output increase or decrease? What about the price?You are the manager of a monopoly. A typical consumer’s inverse demand function for your firm’s product is P = 250 − 40Q, and your cost function is C(Q) = 10Q. a. Determine the optimal two-part pricing strategy. b. How much additional profit do you earn using a two-part pricing strategy compared with charging this consumer a per-unit price?5. Denton Cheese Company (DCC) makes a unique variety of cheese they call Eagle Cheese. They sell it as a monopoly, but a government agricultural support program will pay DCC $7.50 per pound for as much cheese as DCC wants to sell to the government. The market demand for Eagle Cheese is the following: P = 12-.003Q The cost of making the cheese is as follows: C = 2Q+.002Q² If the goal is profit maximization, how much cheese should DCC sell to the market and what price should they charge? Also, how much should they sell to the government?
- The government is contemplating regulating the monopoly and forcing it to operate at the competitive solution. Please indicate graphically the resulting welfare gains to society (hint: the gains are equal to the deadweight loss of a monopoly). Explain your response briefly.You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 500 − 2Q and C(Q) = 2,500 + 2Q2, respectively. d. What price–quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units e. Calculate the maximum revenues. Instructions: Round your response to the nearest penny (two decimal places). $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity combination? multiple choice 2 Inelastic Unit elastic ElasticSuppose a monopoly is producing at its profit-maximising (loss-minimizing) quantity, and the price corresponding to this quantity is below average total cost but above average variable cost. The monopoly will shut down in the short run but return to production in the long run shut down in the short run and exit the market in the long run keep producing both in the short run and in the long run keep producing in the short run but exit the market in the long run None of the above.