Can you help me confirm if my work is accurate.
Pauls 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 |
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) 6411
c. What are the values for the own-price, income, and cross-price elasticities?
Price Elasticity = PE = dQ/dP * P/Q = -5.201 * (18.49/6,407) = -0.0150096 -.015
Income Elasticity = IE = c * M/Q = 0.0026 * (60,200/6,407) = 0.0244295 .024
Cross-price Elasticity = CPE = d * R/Q = 2.10 * (17.95/6,407) = 0.0058834 = .006
Can you help me confirm if my work is accurate. Pauls Underground, a limited liability corporation specializing in new...