200 For the demand function q= D(p)=D find the following. (p + 5)3 a) The elasticity b) The elasticity at p = 2, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) a) Find the equation for elasticity E(p) =

200 For the demand function q= D(p)=D find the following. (p + 5)3 a) The elasticity b) The elasticity at p = 2, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) a) Find the equation for elasticity E(p) =

ECON MICRO

5th Edition

ISBN:9781337000536

Author:William A. McEachern

Publisher:William A. McEachern

Chapter5: Elasticity Of Demand And Supply

Section: Chapter Questions

Problem 1.3P: (Categories of Price Elasticity of Demand) For each of the following absolute values of price...

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(Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?
The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?
Suppose Erin, the owner-manager of a local hotel projects the following demand for her rooms: a. Calculate the price elasticity of demand between 90 and 110. b. Is the price elasticity of demand between 90 and 110 elastic, unit elastic, or inelastic? c. Will Erins total revenue rise if she increases the price from 90 to 110? d. Calculate the price elasticity of demand between 110 and 130. e. Is the price elasticity of demand between 110 and 130 elastic, unit elastic, or inelastic? f. Will Erins total revenue rise if she increases the price from 110 to 130?
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