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Your company, which specializes in running shoes for mens shoes (ShoeShine), has the following demand function: Q = a + bP + cM + dR

Your company, which specializes in running shoes for mens shoes (ShoeShine), has the following demand function:

Q = a + bP + cM + dR

where Q is the quantity demanded of ShoeShines most popular shoes, P is the price of that product, M is consumer income, and R is the price of a related product. The regression results are:

Adjusted R Square

0.8635

Independent Variables

Coefficients

Standard Error

t Stat

P-value

Intercept

14190.66

1145.32

12.39

9.39E-14

P

-59.165

17.765

-3.330

0.002

M

0.0668

0.011

5.811

0.000

R

29.8

9.525

3.128

0.004

Discuss whether you think these regression results will generate good sales estimates for ShoeShine.

Now assume that the income is $66,500, the price of the related good is $32.50, and ShoeShine chooses to set the price of its product at $27.75.

b. What is the estimated number of units sold given the data above? (round to nearest unit; no decimals)

c. What are the values for the own-price, income, and cross-price elasticities?

d. If P increases by 6%, what would happen (in percentage terms) to quantity demanded?

e. If M increases by 2%, what would happen (in percentage terms) to quantity demanded?

f. If R decreases by 3%, what would happen (in percentage terms) to quantity demanded?

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