Question

Bob’s Underground, a limited liability corporation specializing in new rap artists (B.U. LLC, rap) has the...

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

0.7514

Independent Variables

Coefficients

Standard Error

t Stat

P-value

Intercept

6309.15

87.382

72.202

5.17E-37

P

-5.201

1.039

-5.006

1.96E-05

M

0.0026

0.001

2.080

0.0456

R

2.10

1.131

1.856

0.0726

  1. Discuss whether you think these regression results will generate good sales estimates for B.U. LLC, rap.

    Now assume that the income is $60,200, the price of the related good is $17.95, and B.U. chooses to set the price of its product at $18.49.

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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