Calculate elasticities for each independent variable


Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April.

Option 1

Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.

QD = - 5200 - 42P + 20PX + 5.2I + .20A + .25M

(2.002) (17.5) (6.2) (2.5) (0.09) (0.21)

R2 = 0.55 n = 26 F = 4.88

Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:

Q = Quantity demanded of 3-pack units

P (in cents) = Price of the product = 500 cents per 3-pack unit

PX (in cents) = Price of leading competitor's product = 600 cents per 3-pack unit

I (in dollars) = Per capita income of the standard metropolitan statistical area

(SMSA) in which the supermarkets are located = $5,500

A (in dollars) = Monthly advertising expenditures = $10,000

M = Number of microwave ovens sold in the SMSA in which the supermarkets are located = 5,000

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Microeconomics: Calculate elasticities for each independent variable
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