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All questions utilize the multivariate demand function for Smooth Sailing sailboats in C6 on text page...

All questions utilize the multivariate demand function for Smooth Sailing sailboats in C6 on text page 83, initially with: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160 This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W

5. Calculate the point weather elasticity of demand with W = 160. Use Qs corresponding to Ps = 9000. Other variables and their values are as given at the top, before question #1. Does this elasticity indicate that the demand for Smooth Sailing’s boats is relatively responsive to changes in the number of favorable weather days? Explain why or why not. The formula is:

Solutions

Expert Solution

5)

Qs = 89830 - 40PS + 20PX + 15PY + 2I +.001A + 10W

Substituting the values

Qs = 89830 - 40(9000) + 20(9500) + 15(10000) + 2(15000) +.001(170000) + 10(160)

     = 89830 - 360,000 + 190,000 + 150,000 + 30,000 + 170 + 1600

     = 101,600

Point weather elasticity of demand = (∆Q/∆W) * W / Q              [Where, ∆Q/∆W is weather coefficient in the demand function]

                                                        = 10 * (160 / 101,600)

                                                        = 0.016

Since elasticity is less than 1, this elasticity does not indicate that the demand for Smooth Sailing’s boats is relatively responsive to changes in the number of favorable weather days.


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