Question
Your company, which specializes in running shoes for men who are growing increasingly follicly-challenged (BalderDash), has the following demand function: Q = a + bP
Your company, which specializes in running shoes for men who are growing increasingly follicly-challenged (BalderDash), has the following demand function:
Q = a + bP + cM + dR
where Q is the quantity demanded of BalderDash'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 | 0.8757 | |||
Independent Variables | Coefficients | Standard Error | t Stat | P-value |
Intercept | 48653.31 | 2162.58 | 22.50 | 3.52E-21 |
P | -48.567 | 19.361 | -2.509 | 0.017 |
M | 0.0515 | 0.012 | 4.370 | 0.000 |
R | -25.63 | 8.485 | -3.021 | 0.005 |
- Discuss whether you think these regression results will generate good sales estimates for BalderDash.
Now assume that the income is $65,500, the price of the related good is $38.50, and BalderDash chooses to set the price of its product at $85.00.
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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