In: Economics
1. The Klein Corporation’s marketing department, using regression analysis, estimates the firm’s demand function, the result being
Q = -104 - 2.1P + 3.2I + 1.5A + 1.6Z
(R2 = 0.89) where Q is the quantity demanded of the firm’s product (in tons), P is the price of the firm’s product (in dollars per ton), I is per capita income (in dollars), A is the firm’s advertising expenditure (in thousands of dollars), and Z is the price (in dollars) of a competing product. The regression is based on 200 observations.
a. If I = 5,000, A = 20, and Z = 1,000, what is the Klein Corporation’s demand curve?
b. If P = 500 (and the conditions in part a hold), estimate the quantity demanded of the Klein Corporation’s product.
c. Based on a and b, Calculate the price elasticity of demand, Income elasticity of demand, cross-price elasticity of demand, and Advertising elasticity of demand for the firm’s product and interpret their results.