Question
Your company, which specializes in running shoes for men's shoes (ShoeShine), has the following demand function: Q = a + bP + cM + dR
Your company, which specializes in running shoes for men's shoes (ShoeShine), has the following demand function:
Q = a + bP + cM + dR
where Q is the quantity demanded of ShoeShine's 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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