4. The Smart Toys Company manufactures and sells educational toys. An empirical demand function for one of the firm's products has been estimated over the last 21 quarters using regression analysis. The estimated demand function is: Q, = -11,000 - 50P, + .5A+ .25I + 25P, Here Q, is quantity (measured in units) of Smart Toys, P,= $50 is price of Smart Toys (measured in dollars), A = $50,000 is advertising (measured in dollars), I= $40,000 is disposable income per capita (measured in dollars), and P, = $100 is the price (measured in dollars) of another toy manufactured by a competitor, ABC Toys. a. Use the estimated demand function and the values for the independent variables to calculate the demand for Smart Toys "Q". b. Calculate and interpret (elastic or inelastic; complements or substitutes) the point cross-price elasticity of demand. c. Calculate and interpret the point income elasticity of demand. d. Calculate and interpret the point price elasticity of demand.

ENGR.ECONOMIC ANALYSIS
14th Edition
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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4.
The Smart Toys Company manufactures and sells
educational toys. An empirical demand function for one of the
firm's products has been estimated over the last 21 quarters
using regression analysis. The estimated demand function
is:
Q, = -11,000 - 50P, + .5A+ .25I + 25P,
Here Q, is quantity (measured in units) of Smart Toys, P,= $50
is price of Smart Toys (measured in dollars), A = $50,000 is
advertising (measured in dollars), I= $40,000 is disposable
income per capita (measured in dollars), and P, = $100 is the
price (measured in dollars) of another toy manufactured by a
competitor, ABC Toys.
a. Use the estimated demand function and the values for the
independent variables to calculate the demand for Smart
Toys "Q".
b. Calculate and interpret (elastic or inelastic; complements or
substitutes) the point cross-price elasticity of demand.
c. Calculate and interpret the point income elasticity of
demand.
d. Calculate and interpret the point price elasticity of demand.
Transcribed Image Text:4. The Smart Toys Company manufactures and sells educational toys. An empirical demand function for one of the firm's products has been estimated over the last 21 quarters using regression analysis. The estimated demand function is: Q, = -11,000 - 50P, + .5A+ .25I + 25P, Here Q, is quantity (measured in units) of Smart Toys, P,= $50 is price of Smart Toys (measured in dollars), A = $50,000 is advertising (measured in dollars), I= $40,000 is disposable income per capita (measured in dollars), and P, = $100 is the price (measured in dollars) of another toy manufactured by a competitor, ABC Toys. a. Use the estimated demand function and the values for the independent variables to calculate the demand for Smart Toys "Q". b. Calculate and interpret (elastic or inelastic; complements or substitutes) the point cross-price elasticity of demand. c. Calculate and interpret the point income elasticity of demand. d. Calculate and interpret the point price elasticity of demand.
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