a) The demand curve for a product is given by Qxd  = 1,000 – 2Px – 0.1Pz where Pz = $100. (i) What is the own-price elasticity of demand when Px = $50? Is demand elastic? Explain.            (ii) What is the cross-price elasticity demand between good X and good Z when Px = $60? Are goods X and Z substitutes?

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter7: Consumer Choice And Elasticity
Section: Chapter Questions
Problem 5CQ: Estimates presented in Exhibit 5 show that Android users have a higher price elasticity of demand...
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(a) The demand curve for a product is given by Qxd  = 1,000 – 2Px – 0.1Pz where Pz = $100.

(i) What is the own-price elasticity of demand when Px = $50? Is demand elastic? Explain.           

(ii) What is the cross-price elasticity demand between good X and good Z when Px = $60? Are goods X and Z substitutes?                                                                                                                                      

(b) A consumer must divide $400 between the consumption of Product X and Product Y. The relevant market prices are Px = $8 and Py = $16.

(i) What is the equation for the consumer’s budget line.                                                                    

(ii) Show how the consumer’s opportunity set changes when the price of good X increases to $10.  How does this change alter the market rate of substitution between goods X and Y?

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