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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:

Q = 21055.04 - 83.912P + 0.0266M -16.6R

Adjusted R Square

0.7796

Independent Variables

Coefficients

Standard Error

t Stat

P-value

Intercept

21,055.04

1428.27

14.74

8.1E-16

P - Price

-83.912

19.079

-4.398

0.000

M - Income

0.0266

0.013

2.064

0.047

R - Price Related Prod.

-16.6

10.664

-1.556

0.129

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

The regression results indicate that the model has a reasonably high Adjusted R Square (0.7796), suggesting that around 77.96% of the variability in the quantity demanded is explained by the independent variables. The model seems to provide reasonably good sales estimates, but the non-significant coefficient for the price of the related product raises some concerns about the robustness of its impact

Now assume that the income is $69,100, the price of the related good is $39, and BalderDash chooses to set the price of its product at $54.

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

Q = 21055.04 - 83.912P + 0.0266M -16.6R

Q = 21055.04 - 83.912(54) + 0.0266(69100) - 16.6(39)

Q = 21055.04 - 4531.248 + 1838.06 - 647.4

Q = 17714.452

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

E = %change Q / %change P or = (change Q / average Q) / (change P / average P)

Em = %changeQd / %changeM and Exr = %change Qx/ %changePr

E =

EM =

ER =

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

  1. 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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