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Bob’s Underground, a limited liability corporation specializing in new rap artists (B.U. LLC, rap) has the following demand function: Q = a + bP + cM + dR where Q is the quantity demanded of the most popular product B.U. sells, P is the price of that product, M is income, and R is the price of a related product. The regression results are:
Adjusted R Square 0.7786
Independent Variables | Coefficients | Standard Error | t Stat | P-value |
Intercept | 2193.39 | 86.935 | 25.230 | 1.09E-22 |
P | -4.36 | 1.045 | -4.172 | 0.000215 |
M | 0.0039 | 0.00132 | 2.998 | 0.005224 |
R | -2.53 | 1.310 | -1.932 | 0.062276 |
a. Discuss whether you think these regression results will generate good sales estimates for B.U. LLC, rap.
Now assume that the income is $57,600, the price of the related good is $15, and B.U. chooses to set the price of its product at $13.50.
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 4%, what would happen (in percentage terms) to quantity demanded?
e. If M increases by 3%, what would happen (in percentage terms) to quantity demanded? f. If R decreases by 5%, what would happen (in percentage terms) to quantity demanded?
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