Posted: February 28th, 2017

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. For a refresher on independent and dependent variables, please go to Sophia’s Website and review the Independent and Dependent Variables tutorial, located at 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 + 0.20A + 0.25M (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 Option 2 Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets. QD = -2,000 – 100P + 15A + 25PX + 10I (5,234) (2.29) (525) (1.75) (1.5) R2 = 0.85 n = 120 F = 35.25 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 = 200 cents per 3-pack unit PX (in cents) = Price of leading competitor’s product = 300 cents per 3-pack unit I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarkets are located = $5,000 A (in dollars) = Monthly advertising expenditures = $640 Write a four to six (4-6) page paper in which you: 1. Compute the elasticities for each independent variable. N

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