Exam 3: Demand Analysis and Optimal Pricing

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If the demand for a good is price-elastic,an increase in price will:

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Assume that the price and income elasticities of demand for luxury cars are EP = -0.52 and EY = 3.2 respectively.In the coming year,car prices are expected to rise by 2 percent and income by 8 percent.Based on this information,sales of cars are expected to _____.

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You are the marketing manager of a firm that produces titanium and sells this metal to two distinct kinds of customers: aircraft producers and golf club manufacturers.Demand for titanium by these two market segments is quite different,as described by the respective price equations: PA = 10 - QA/600 and PG = 12 - QG/100,where annual quantities [QA and QG] are in thousands of pounds and prices [PA and PG] are in dollars.Your firm estimates the marginal cost of titanium production at $4 per pound. (a)For each segment,determine the firm's profit-maximizing price and output.Is the firm practicing price discrimination?

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With total capacity limited to 1.5 million pounds,the total production of 2.2 million pounds (1,800 thousand pounds to aircraft producers + 400 thousand pounds to golf club manufacturers)is infeasible.Clearly,the firm should produce at full capacity (1.5 million pounds at a variable cost of $6 million)and divide sales between the two segments in order to maximize total revenue.Therefore,the revenue maximizing condition is: MRA = MRG,along with the constraint QA + QG = 1,500.Given that 10 - QA/300 = 12 - QG/50,and QA + QG = 1,500,solving these two equations simultaneously implies QA = 1,200 thousand pounds and QG = 300 thousand pounds.In turn,PA = $8.00 per pound and PG = $9.00.

Carefully define price discrimination.What conditions must exist for it to be possible and profitable? Explain.

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If customer income increases over time, (while price is held constant),what is the most likely impact on unit sales of a firm? Explain.

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For a good that has a price elasticity of demand of 1.5 and a marginal cost of $50 per unit,the profit-maximizing price should be approximately _____.

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Which of the following correctly defines second-degree price discrimination?

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The Juice Shop sells iced soft drinks.Management has found that demand is estimated by the equation: Q = 1,000 - 240P + 80PC,where Q denotes the number of drinks sold per day,P is the drink's price,and PC is the price of drinks at a nearby café. (a)How many drinks will be sold if P = $1.50 and PC = $1.20?

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Will a profit-maximizing firm typically sell a good at a price that is in the inelastic portion of a demand curve? Explain

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Which of the following is true of an information good or service?

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Assume that Insite Corporation produces advanced analytic software for computer simulations called Model-It.Based on an analysis of product sales over a two-year period,Insite's marketing department estimates the demand for Model-It to be QM = 1,200 - 8PM + 4PS,where QM denotes units sold of Model-It software,PM denotes Model-It's price,and PS denotes the price of a best-selling statistical software package (with both prices in dollars). (a)Currently,PM = $200 and PS = $300.What is the predicted demand for Model-It software?

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Which of the following firms faces a pure selling problem in pricing?

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For a parking garage of fixed capacity,the owner sets different parking rates for cars that are parked for less than 24 hours (short-term)and for those that are parked for more than 24 hours (long-term).To maximize revenue,the operator should set prices and target the number of places for each segment such that:

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What would happen to a firm's price elasticity of demand if additional competitors enter the market and achieve significant market shares? Explain briefly.

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The cross-price elasticity between two products is estimated to be 2.If the price of the first product is increased by 8%,demand for the second product will _____.

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Assume that a profit-maximizing firm practices price discrimination in two different market segments.If the marginal cost of producing the good is the same,the price:

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Demand for DVD rentals at a video store is described by the equation: Q = 4,000 - 500P,where Q denotes the number of DVDs rented per week and P is the rental price in dollars. (a)Determine the point price elasticity of demand at P = $3.

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Derek is the co-owner of a small gift shop.His colleague,Ron wants the shop to hold a sale and reduce most prices by 10% to 20%.His parents owned a convenience store,and they said that they could always count on increased traffic when they cut prices.If a 10% price cut didn't bring enough purchases,then cut by 20%,and the cash flow would cover all their needs.Is Ron's suggestion economically viable? Why or why not?

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A profit-maximizing firm's total cost is given by C = 50 + 25Q where Q is the quantity produced.Given that the firm sells 40 units of the good at $55 each,what is the firm's contribution?

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The initial price for an item is $5.00,and the quantity demanded is 350 units.When the price is raised to $5.25,the quantity demanded falls to 300 units.The absolute value of the point elasticity of demand is _____.

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