Exam 5: Pricing Techniques and Analysis

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A manufacturer produces two types of computer software, Word processing (W) and Spreadsheet (S), which is offered to two different retail outlets (1 and 2). The following table shows the maximum price each retail outlet is willing to pay for each individual software product. A manufacturer produces two types of computer software, Word processing (W) and Spreadsheet (S), which is offered to two different retail outlets (1 and 2). The following table shows the maximum price each retail outlet is willing to pay for each individual software product.   What is the optimal pricing strategy that will maximize revenue for the manufacturer, given the maximum the retail outlets are willing to pay? What is the optimal pricing strategy that will maximize revenue for the manufacturer, given the maximum the retail outlets are willing to pay?

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Superior Metals Company has seen its sales volume decline over the last few years as the result of rising foreign imports. In order to increase sales (and hopefully, profits), the firm is considering a price reduction on luranium-a metal that it produces and sells. The firm currently sells 60,000 pounds of luranium a year at an average price of $10 per pound. Fixed costs of producing luranium are $250,000. Current variable costs per pound are $5. The firm has determined that the variable cost per pound could be reduced by $.50 if production volume could be increased by 10 percent (fixed costs would remain constant). The firm's marketing department has estimated the arc elasticity of demand for luranium to be -1.5. (a)How much would Superior Metals have to reduce the price of luranium in order to achieve a 10 percent increase in the quantity sold? (b)What would the firm's (i) total revenue, (ii) total cost, and (iii) total profit be before and after the price cut?

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(a) (a)   Superior Metals should reduce the price by 10.00 - 9.36 = $.64 in order to increase the quantity sold by 10 percent. (b)  Superior Metals should reduce the price by 10.00 - 9.36 = $.64 in order to increase the quantity sold by 10 percent.
(b) (a)   Superior Metals should reduce the price by 10.00 - 9.36 = $.64 in order to increase the quantity sold by 10 percent. (b)

When airlines post prices on an electronic bulletin board at 8:00 a.m. each morning, the decision-makers are engaged in

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The Zinger Company manufactures and sells a line of sewing machines. Demand per period (Q) for a particular model is given by the following relationship: Q = 400 - .5P where P is price. Total costs (including a "normal"return to the owners) of producing Q units per period are: TC = 20,000 + 50Q + 3Q2 (a)Express total profits ( π\pi ) in terms of Q. (b)At what level of output are total profits maximized? What price will be charged? What are total profits at this output level? (c)What model of market pricing has been assumed in this problem? Justify your answer.

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Two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following demand function: P = 10,000 - QA- QB where QA and QB are the quantities sold by the respective firms and P is the selling price.Total cost functions for the two companies are: TCA = 500,000 + 200QA + .5QA2 TCB = 200,000 + 400QB + QB2 Assume that the two firms act independently as in the Cournot model (that is, each firm assumes that the other firm's output will not change). Determine the long-run equilibrium output and selling price for each firm.

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Retailers A and B anticipate many repetitions of the following pricing game in which they must choose between discounting or maintaining higher prices. Under what circumstances will store A resist discounting and choose MAINTAIN? Retailers A and B anticipate many repetitions of the following pricing game in which they must choose between discounting or maintaining higher prices. Under what circumstances will store A resist discounting and choose MAINTAIN?

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The Winston Tobacco Company feels that it is faced with the following segmented demand function for its cigarettes: The Winston Tobacco Company feels that it is faced with the following segmented demand function for its cigarettes:   where Q is the number of cartons sold and P is the price per carton. (a)Why is such a segmented demand function likely to exist? What type of industry structure is indicated by this relationship? (b)Determine Winston's marginal revenue function. (c)Given that Winston's total cost function (including a normalreturn to the owners) is TC<sub>1</sub> = 80 + 2.6Q + .05Q<sup>2</sup> determine Winston's profit maximizing price and output level. (d)Given that Winston's total cost function increases to TC<sub>2</sub> = 90 + 3.4Q + .05Q<sup>2</sup> what is their profit maximizing price and output level? where Q is the number of cartons sold and P is the price per carton. (a)Why is such a segmented demand function likely to exist? What type of industry structure is indicated by this relationship? (b)Determine Winston's marginal revenue function. (c)Given that Winston's total cost function (including a "normal"return to the owners) is TC1 = 80 + 2.6Q + .05Q2 determine Winston's profit maximizing price and output level. (d)Given that Winston's total cost function increases to TC2 = 90 + 3.4Q + .05Q2 what is their profit maximizing price and output level?

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Sunrise Juice Company sells its output in a perfectly competitive market. The firm's total cost function is given in the following schedule: Sunrise Juice Company sells its output in a perfectly competitive market. The firm's total cost function is given in the following schedule:   Total costs include a normalreturn on the time (labor services) and capital that the owner has invested in the firm. The prevailing market price is $7 per unit. (a)Prepare (i) marginal cost and (ii) average total cost schedules for the firm. (b)What is the firm's profit maximizing output level? (c)Is the industry in long-run equilibrium? Justify your answer. Total costs include a "normal"return on the time (labor services) and capital that the owner has invested in the firm. The prevailing market price is $7 per unit. (a)Prepare (i) marginal cost and (ii) average total cost schedules for the firm. (b)What is the firm's profit maximizing output level? (c)Is the industry in long-run equilibrium? Justify your answer.

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In ____ price discrimination, the entire consumer surplus is captured by the producer.

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Consolidated Salt Company sells table salt to both retail grocery chains and commercial users (e.g., bakeries, snack food makers, etc.). The demand function for each of these markets is: Consolidated Salt Company sells table salt to both retail grocery chains and commercial users (e.g., bakeries, snack food makers, etc.). The demand function for each of these markets is:   where P<sub>1</sub> and P<sub>2</sub> are the prices charged and Q<sub>1</sub> and Q<sub>2</sub> are the quantities sold in the respective markets. Consolidated's total cost function (which includes a normalreturn to the owners) for salt is:TC = 50 + 20(Q<sub>1</sub> + Q<sub>2</sub>) (a)Determine Consolidated's total profit function. (b)Assuming that Consolidated is effectively able to charge different prices in the two markets, what are the profit-maximizing price and output levels for the product in the two markets? What is Consolidated's total profit under this condition? (c)Assuming that Consolidated is required to charge the same price in each market, what are the profit-maximizing price and output levels? What is Consolidated's total profit under this condition? where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Consolidated's total cost function (which includes a "normal"return to the owners) for salt is:TC = 50 + 20(Q1 + Q2) (a)Determine Consolidated's total profit function. (b)Assuming that Consolidated is effectively able to charge different prices in the two markets, what are the profit-maximizing price and output levels for the product in the two markets? What is Consolidated's total profit under this condition? (c)Assuming that Consolidated is required to charge the same price in each market, what are the profit-maximizing price and output levels? What is Consolidated's total profit under this condition?

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Exhibit : Consider the information below when answering the following question(s): Exhibit : Consider the information below when answering the following question(s):   (Note: Payoffs in the upper right corner go to Pizza Spinners and payoffs in the lower left go to Harry's). -In choosing whether to deliver to six or seven neighborhoods, Pizza Spinners has to take into account not only its own costs, but also the delivery area response of its competitor Harry's Pizzeria. If the payoffs per week from delivering in six and seven neighborhoods are as displayed in Exhibit above, what will Pizza Spinner's choose and why? (Note: Payoffs in the upper right corner go to Pizza Spinners and payoffs in the lower left go to Harry's). -In choosing whether to deliver to six or seven neighborhoods, Pizza Spinners has to take into account not only its own costs, but also the delivery area response of its competitor Harry's Pizzeria. If the payoffs per week from delivering in six and seven neighborhoods are as displayed in Exhibit above, what will Pizza Spinner's choose and why?

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Two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following demand function: P = 10,000 - QA-QB where QA and QB are the quantities sold by the respective firms and P is the selling price.Total cost functions for the two companies are: TCA = 500,000 + 200QA + .5QA2 TCB = 200,000 + 400QB + QB2 Assume that the firms form a cartel to maximize total industry profits (sum of Firm A and Firm B profits). Determine the optimum output and selling price for each firm.

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