Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows:   QD= 89,830-40PS+20Px+15Py+2I+0.001A+10W                                                                                                    Where,    QD = quantity purchased, PS = the price of smooth sailing sailboats, PX = the price of Company X’s sailboat, PY = 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.   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. Is elastic, inelastic, or unitary elastic in part (a)? Justify?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter3: Demand Analysis
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Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows:  

QD= 89,830-40PS+20Px+15Py+2I+0.001A+10W                                                                                                   

Where,   

QD = quantity purchased,

PS = the price of smooth sailing sailboats,

PX = the price of Company X’s sailboat,

PY = 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.

 

  1. 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.
  2. Is elastic, inelastic, or unitary elastic in part (a)? Justify?

 

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