20. The general linear demand for good X is estimated to be Q = 1 8 , 0 0 0 − 1 7 5 P + 0 . 3 5 M − 1 6 PR where P is the price of good X, M is average income of consumers who buy good X, and PR is the price of related good R. The values of P, M, and P R are expected to be $65, $52,000, and $100, respectively. Use these values at this point on demand to make the following computations. a. Calculate the price elasticity of demand E for the given values of P, M, and PR. How would increasing the price of X affect total revenue? Explain. b. Calculate the income elasticity of demand EM. Is good X normal or inferior? Explain how a 1.75 percent decrease in income would affect demand for X? c. Calculate the cross-price elasticity EXR. Are the goods X and R substitutes or comple- ments? Explain how a 2.5 percent increase in the price of related good R would affect demand for X?
20. The general linear
Q = 1 8 , 0 0 0 − 1 7 5 P + 0 . 3 5 M − 1 6 PR
where P is the
a. Calculate the price elasticity of demand E for the given values of P, M, and PR. How would increasing the price of X affect total revenue? Explain.
b. Calculate the income elasticity of demand EM. Is good X normal or inferior? Explain how a 1.75 percent decrease in income would affect demand for X?
c. Calculate the cross-price elasticity EXR. Are the goods X and R substitutes or comple- ments? Explain how a 2.5 percent increase in the price of related good R would affect demand for X?
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