Direction: Show the solutions with the final answers enclosed in boxes and written in ink. 1. Find the critical values, test the second-order condition, and calculate for maximum profit. a) Under a perfectly competitive market: TR=14000-60² and TC=1500+800 b) Under a monopoly: TR=14000-7.50² and TC-0³-60² +1400+750 c) Demand function: P=30-20, No cost.
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- 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 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?Madison Gas and Electric (MGE) is a monopoly for electricity in the city. MGE has a cost function of C(Q) = 1/2Q^2 and faces market demand of Q = P^(-u), u > 1. (1) Calculate the price elasticity of demand. (I) What is the optimal market price as a function u? (iii) What is the markup as a function of u?
- Price and cost (dollars per hamburger) 5.00 4.50 4.00 MC 3.50 3.00 2.50 2.00 1.50 1.00 0.50 MR 10 20 30 40 50 Quantity (hamburgers per hour) Suppose the Busy Bee Cafe is the monopoly producer of hamburgers in Hugo, Oklahoma. The above figure represents the demand, marginal revenue, and marginal cost curves for this establishment. What price will the Busy Bee charge to maximize its profit? A. $1.00 for a hamburger OB. $3.00 for a hamburger OC. $5.00 for a hamburger OD. $2.00 for a hamburger O E. $4.00 for a hamburgerThe graph below shows the Market conditions of Honey’s Laundry service, which is the only laundry in Banani Residential Area. Considering the shop as a Monopoly market, answer the following questions: (a)In order to maximize profit, how many clothes does the shop clean ? (b)If the opening of five new laundry turns it into a perfectly competitive market, what should be the price Sunny’s laundry be charging now? (c)Compute the change in total revenue between part a and part b.a. Given the following demand functions for two market segments (in millions) P1 = 440 – 8Q1 P2 = 160 – 5Q2 TC = 500 +40Q Calculate the profit maximizing Quantities & corresponding Prices and profit level. Based on demand elasticities demonstrated that this monopolist is making use of the concept in its pricing strategy. b. Explain the reasoning behind the fact that a firm in a perfectly competitive market may continue to produce and sell its products at a loss within the short run but might not opt to do so in the long run. c. What factors in your view are behind monopoly power within markets and what in your view limits monopoly power within markets?
- Monopoly firm a. When a best-selling book was first released in paperback, the Hercules Bookstore chain seized a profit opportunity by setting a selling price of $9 per book (well above Hercules’ $5 average cost per book). With paperback demand given by P = 15 - .5Q, the chain enjoyed sales of Q =12 thousand books per week. (Note: Q is measured in thousands of books.) Draw the demand curve and compute the bookstore’s profit and the total consumer surplus. b. For the first time, Hercules has begun selling books online—in response to competition from other online sellers and in its quest for new profit sources. The average cost per book sold online is only $4. As part of its online selling strategy, it sends weekly e-mails to preferred customers announcing which books are new in paperback. For this segment, it sets an average price (including shipping) of $12. According to the demand curve in part (a), only the highest value consumers (whose willingness to pay is $12 or more)…1750 1500 1250 1000 750 500 250 0 1200 3600 6000 8400 The figure above shows demand and marginal revenue for a single price monopoly. At any price above $ demand is elastic. Assume production costs are constant and equal to $750.00 (i.e., AC = MC = $750). 1) Output is units per day at a price of $ per unit. 2) Profit is $ 3) Consumer surplus is $ 4) If this market was perfectly competitive, output would exceed the single-price monopoly output by Time units.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 Inelastic
- 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 ElasticKalamazoo Competition-Free Concrete (KCC) is a local monopolist of ready-mix concrete. Its annual demand function is Q* = 10,000 – 200P, where Pis the price, in dollars, of a cubic yard of concrete and Qis the number of cubic yards sold per year. Suppose that Kalamazoo's marginal cost is $20 per cubic yard and fixed costs are sunk. Instructions: Round your answers to 2 decimal places. a. What is the deadweight loss from monopoly pricing? b. Now suppose that fixed costs are avoidable and large enough such that the monopolist elects not to produce. What is the deadweight loss from the monopoly not producing? %242. The demand and total cost functions for a monopoly firm are: Q(P) 20-0.5P TC(Q)=4-Q+0.5 Q² a) Derive the profit maximising Q₁, P, and compute the firm's profit p 'M' M b) Suppose instead a competitive industry where the MC curve is the competitive industry's supply function. Derive the competitive industry equilibrium P* and Q*. c) Drawing on a) and b), use a diagram and algebra to compare the monopoly industry and the perfectly- competitive industry outcomes in terms of a. equilibrium prices and quantities, b. economic efficiency (total economic surplus), and c. distribution in terms of consumer surplus and producer surplus