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Demand Estimation

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Demand Estimation
Doris Ard
Dr. Muhammad Islam
Economics 550
7/19/2014

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.
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 elasticity 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 1. Compute the elasticity for each independent variable. Note: Write down all of your calculations.
QD = - 5200 - 42P + 20PX + 5.2I + .20A + .25M
QD = -5200 - 42(500) + 20(600) + 5.2(5500) + .20(10,000) + .25(5,000)
QD = -5,200 - 21,000 + 12,000 + 28,600 + 2,000 + 1,250 = 17,650
P = (∆Q/∆P)(P/Q) = -42(500/17,650) =│-1.1898│ elastic
Px = (∆Q/∆Px)(Px/Q) = 20(600/17,650) = +0.6798 inelastic
I = (∆Q/∆I)(I/Q) = +5.2(5,200/17,650) = +1.6203 elastic
A = (∆Q/∆A)(A/Q) = +.20(10,000/17,650) = +0.1133 inelastic
M = (∆Q/∆M)(M/Q) = +.25(5000/17,650) = +0.0708 inelastic 2. Determine the implications for each of the computed elasticity for the business in terms of short-term and

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