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If demand P=100-Q, TC=800+20Q+Q2 and MC=20+2Q what is the profit maximizing price and the rate of output
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- 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?*1 A small village has only one Italian restaurant. The daily demand for dinners in this restaurant is P=120-2Q, where P is the price in £ and Q is the number of dinners. It has a fixed cost of £300 and a marginal cost of £10 for the first 15 dinners. If it wants to produce more than 15 dinners, it must pay overtime wages to its workers, with the marginal cost rising to £20. What is the maximum amount of profit the restaurant can earn? Illustrate your answer on a diagram.Plot the supply and demand curve and find market equilibrium P & Q.
- 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.For the Water Utility, it costs $50,000 per month to lease the land and equipment for the water treatment facility and pumping station and maintain the water supply system. It costs $10Q to deliver water to households (Q is thousands of gallons). The town’s monthly demand for water is QD = 5000 – 100P, where P is price. Calculate the quantity of water, the price, total revenue, total cost, total profit, marginal revenue, marginal cost, the markup, the profit margin, and marginal profit at unregulated price and quantity of water. What price per gallon will they charge?In the world of French high cuisine, a three-star rating from the Michelin Red Guide is a widely accepted indicator of gastronomic excellence. French consumers consider Gault Milleau, another restaurant guide, not as authoritative as the Michelin guide because Gault Milleau, unlike Michelin, accepts advertising and its critics accept free meals. Why are guides' ratings important to restaurant owners and chefs? Discuss the effect of a restaurant's rating on the demand for the restaurant. a. A) It provides information to consumers regarding the restaurant's quality, thus, reducing the moral hazard problem. A high rating can increase demand B)It provides information to consumers regarding the restaurant's quality, thus, reducing the adverse selection problem. A high rating can increase demand. b. Why do advertising and free meals taint the credibility of Gault Milleau? Discuss the moral hazard problem of Gault Milleau's ratings. A) The critics may be biased toward restaurants that give…
- Is a firm that satisfies the immediate needs and wants of target markets always doing what’s best for its consumers in the long run?For the following exercise, which has already been published previously, please you only need to answer question d) A publisher has the following table of demand for the next novel by one of its famous authors: Price Number of novel in demand 100 0 90 1 80 2 70 3 60 4 50 5 40 6 30 7 20 8 10 9 0 10 The author is paid $2 to write the book (Fixed Cost or FC) and the marginal cost (MC) of publishing it is a constant $10 per book. a) Calculate the total revenue, total cost, and corresponding profits for each quantity. What quantity would a profit-maximizing publisher choose? What price would he set? b) Calculate marginal revenue. How does marginal revenue compare to price? Explain. c) Plot the marginal revenue (MR), marginal cost (MC), and demand (D) curves. At what quantity do the marginal revenue and marginal cost curves intersect? What does this mean? d) Obtain the economic profits (EP) of this monopolist and graph.Suppose the average student's demand for Holy Cross football tickets is as follows: $20 $14 s10 $7 $5 1 2 Price Quantity 3 4 5 a. If Holy Cross is a profit maximizer and it can only sell single game tickets, what price will Holy Cross charge, how many tickets will the average student buy, and how much profit will the college make per student (assuming MC = 0)? b. If Holy Cross is a profit maximizer but instead sells season-tickets for all 5 home games, what price will the college charge and how much profit will the college make per student? c. Give at least 2 other reasons besides higher ticket revenue why Holy Cross would prefer to sell season tickets rather than individual game tickets. 2.
- Suppose that a new restaurant entry increased consumer elasticity of demand for the sushi appetizer from 2 to 3. The price you charge initially is $10. By how much will you have to adjust the price? Will you still be able to make profit?You are given the following information about the market for Birkin Bags: The formula for Demand is as follows: Qd: 400,000-10*P. It's Cost Function is 20,000,000 + 6000 Questions: (1) What is the price (P) where REVENUE is maximized? (2) What is the price (P) that maximizes PROFITS? (3) What is the QUANTITY (Q) that maximizes profits at that price? (4) What are TOTAL PROFITS at that price?Using the graph on the next page, do the following problems: Determine the profit maximizing level of output when the market price for the good is $75/unit. Show this on the graph by making the appropriate drawing (with a straight-edge). Also, write the number (an appropriate estimate should be made) below the graph. • On the graph, show the maximum total profit that can be generated by the firm based on the market price. Do NOT calculate the value - show the appropriate box on the graph. Be careful in your (straight) lines. Be clear as to the part of the graph that represents the profit. Use shading as appropriate. • Below the graph, write the interpretation of the values of the marginal cost (MC) and the average total cost (ATC) at the profit-maximizing level of output; make sure to use all the appropriate names and units. Write the values and interpretations below the graph. • Answer the following questions: If the market price of the good falls, the profit maximizing level of…
