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- 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?$30 MC ATC $20 $10 MR Demand 10 20 30 40 Quantity (in Thousands per Month) What is the maximum profit per month that the monopolist will be able to earn according to the graph? zero approximately $20,000 approximately $50,000 Oapproximately $100,000 Price1. The inverse demand function for a monopolist's product is given by P=21-2Q. What is the maximum price per unit a monopolist can charge to be able to sell 6 units? What is marginal revenue when Q=6? Show your solution 2. Suppose the inverse demand function for a Meralco's service is given by P= 83 -2Q and the cost function is C=12 + 2Q. Required: Compute the profit-maximizing price, quantity and maximum profits.
- The demand schedule of Karachi electric (KE) (known as monopolist) is given as below. You needto find the missing values using TR-TC & MR-MC approaches to analyze its cost of productionand profit maximizing point.Output Price Total Cost Total Revenue MC MR0 Rs.24 Rs.101 21 142 18 203 15 284 12 385 9 50a. Find the missing values of Total Revenue columnb. Find the output level that maximizes the firm's profit, using TR-TC approachc. What price should the firm set to achieve maximum profit?d. Complete the final two columns to verify that the same conclusions are reached using theMR = MC rule.e. Compare both the results and comment on the business and its positionPrice $11.50 $9.00 $8.00 $5.50 52. Refer to the graph above. If this monopolist were regulated by government agency and forced to set the fair return price, it would likely produce earn charge the price of. and _economic profit a) 300 units; $11.50; negative b) 10002`zunits; $11.50; positive economic profit c) 1,600 units; $8.00; normal d) 1,400 units; $9.00; negative Refer to the graph below: MR 300 1000 1400 1600 Quantity MC AC2) The Epson Company is a monopolist in the market and faces the demand curve shown in the figure below. The firm's marginal cost curve is MC= 100 +2Q. a. What is the firm's profit-maximizing output and price? Price ($/unit) 400 0 D 200 Quantity of printers (thousand) b. If the firm's demand changes to P = 300 - Q while its marginal cost curve remains the same, what is the firm's profit-maximizing level of output and price? How does this compare to your answer for (a)? c. Draw a diagram showing these two outcomes. Holding marginal cost equal, how does the shape of the demand curve affect the firm's ability to charge a high price? (bonus question 5 points)
- Problem 3 Suppose that a monopolistic seller of flux capacitors faces the inverse demand curve P = 40 - and that the monopolist can produce flux capacitors at a constant marginal and average total cost of $5. (a) How many units will an unregulated monopolist sell? 1 (b) Suppose that the government imposes a price ceiling of $6. Find the firm's marginal revenue of the 10th, the 68th, and the 69th unit. (c) How many units will a profit-maximizing monopolist sell when the price ceiling is in place? At what price? (d) Show in a graph the deadweight loss of unregulated monopoly and the deadweight losses with the price ceiling. Does the price ceiling improve social welfare?5. A monopolist with cost function c(Q)=faces an inverse demand function given by P(Q)= √Q' (a) Find the elasticity of demand with respect to price. (b) Assuming that the monopolist uses MR = MC pricing rule, find his profit maximizing price, p", and output level, q". (c) Find the marginal cost at q" and calculate the Lerner index. (d) Does the monopolist's market power depend on his cost curve? In particu- lar, does it depend on a? Is your answer surprising?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?
- 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 hamburgerRefer to figure: Profit can always be increased by increasing the level of output by one unit if the monopolist is currently operating at (i)Qo.(i) Q1.(ii) Q2.(iv) Q3. Cost and Revenue(S) Curve C Curve D P, Curve A Curve B Q0, 0, Quartity (iv) only (iii) or (iv) O () or (ii) (1), (ii) or (iii)(d) Is the output produced by the perfectly price-discriminating monopolist allocatively efficient? Explain.