Question
Bob's Underground, a limited liability corporation specializing in new rap artists (B.U. LLC, rap) has the following demand function: Q = a + bP +
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
0.7619
Independent Variables
Coefficients
Standard Error
t Stat
P-value
Intercept
8400.28
101.97
82.38
7.78E-39
P
-11.505
2.758
-4.171
0.0002
M
0.0034
0.001
2.476
0.0188
R
-4.14
1.228
-3.374
0.0020
a.Discuss whether you think these regression results will generate good sales estimates for B.U. LLC, rap.
Now assume that the income is $51,680, the price of the related good is $13.50, and B.U. chooses to set the price of its product at $18.75.
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 4%, what would happen (in percentage terms) to quantity demanded?
e.If M decreases by 3%, what would happen (in percentage terms) to quantity demanded?
f.If R increases by 6%, what would happen (in percentage terms) to quantity demanded?
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