Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows: Qp = 89, 830 – 40Ps + 20Px + 15P, + 21 + 0. 001A + 10W Where, QD = quantity purchased, Ps= the price of smooth sailing sailboats, Px= the price of Company X's sailboat, Pr = the price of Company Y's motorboat, I= per capita income in dollars, A = dollars spent on advertising, and W = number of favorable days of weather in the southern region of the United States. a) Suppose that Ps = $9,000, Px= $9,500, Py = $10,000, I = $15,000, A = $170,000, and W = 160. Find the price elasticity of demand at that point. b) Is Ep, elastic, inelastic, or unitary elastic in part (a)? Justify?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased
annually) as follows:
= 89, 830 – 40P, + 20PX + 15P, + 21 + 0.001A + 10W
Where,
QD = quantity purchased,
Ps = the price of smooth sailing sailboats,
Px= the price of Company X's sailboat,
Pr= the price of Company Y's motorboat,
I= per capita income in dollars,
A = dollars spent on advertising, and
W = number of favorable days of weather in the southern region of the United States.
a) Suppose that Ps = $9,000, Px = $9,500, Pr = $10,000, I = $15,000, A = $170,000, and W
= 160. Find the price elasticity of demand at that point.
b) Is E, elastic, inelastic, or unitary elastic in part (a)? Justify?
Transcribed Image Text:Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows: = 89, 830 – 40P, + 20PX + 15P, + 21 + 0.001A + 10W Where, QD = quantity purchased, Ps = the price of smooth sailing sailboats, Px= the price of Company X's sailboat, Pr= the price of Company Y's motorboat, I= per capita income in dollars, A = dollars spent on advertising, and W = number of favorable days of weather in the southern region of the United States. a) Suppose that Ps = $9,000, Px = $9,500, Pr = $10,000, I = $15,000, A = $170,000, and W = 160. Find the price elasticity of demand at that point. b) Is E, elastic, inelastic, or unitary elastic in part (a)? Justify?
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