6. Rich Smothers runs a satellite television subscription service for a rural customer base is considering a sale on his satellite dishes Using monthly data he estimates the demand for the dishes to be Log Q = log 11-0.70 Log P + 1.4 Log I. R² = 0.85, SER= 2.33 (3.12) (0.10) (0.50) At an approximate 95% level of confidence, can you say that a price reduction will increase profits? Why? a. Yes, a 95% confidence interval for the price elasticity of demand is [-0.50 to - 0.90] so the firm is on the inelastic portion of the demand curve, and a price reduction will increase profits. b. No, a 95% confidence interval for the price elasticity of demand is [-0.50 to - 0.90] so the firm is on the inelastic portion of the demand curve, and a price reduction will reduce profits. c. Yes, a 95% confidence interval for the price elasticity of demand is [0.50 to 0.90] so the firm is on the elastic portion of the demand curve, and a price reduction will increase profit. d. No a 95% confidence interval for the price elasticity of demand is [0.50 to 0.90] so the firm is on the elastic portion of the demand curve, and so the effects of a price reduction cannot be determined.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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6. Rich Smothers runs a satellite television subscription service for a rural customer
base is considering a sale on his satellite dishes Using monthly data he estimates
the demand for the dishes to be
Log Q = log 11 - 0.70 Log P + 1.4 Log I. R² = 0.85, SER= 2.33
(3.12) (0.10)
(0.50)
At an approximate 95% level of confidence, can you say that a price reduction will
increase profits? Why?
a. Yes, a 95% confidence interval for the price elasticity of demand is [-0.50 to -
0.90] so the firm is on the inelastic portion of the demand curve, and a price
reduction will increase profits.
b. No, a 95% confidence interval for the price elasticity of demand is [-0.50 to -
0.90] so the firm is on the inelastic portion of the demand curve, and a price
reduction will reduce profits.
c. Yes, a 95% confidence interval for the price elasticity of demand is [0.50 to
0.90] so the firm is on the elastic portion of the demand curve, and a price
reduction will increase profit.
d. No a 95% confidence interval for the price elasticity of demand is [0.50 to 0.90]
so the firm is on the elastic portion of the demand curve, and so the effects of a
price reduction cannot be determined.
Transcribed Image Text:6. Rich Smothers runs a satellite television subscription service for a rural customer base is considering a sale on his satellite dishes Using monthly data he estimates the demand for the dishes to be Log Q = log 11 - 0.70 Log P + 1.4 Log I. R² = 0.85, SER= 2.33 (3.12) (0.10) (0.50) At an approximate 95% level of confidence, can you say that a price reduction will increase profits? Why? a. Yes, a 95% confidence interval for the price elasticity of demand is [-0.50 to - 0.90] so the firm is on the inelastic portion of the demand curve, and a price reduction will increase profits. b. No, a 95% confidence interval for the price elasticity of demand is [-0.50 to - 0.90] so the firm is on the inelastic portion of the demand curve, and a price reduction will reduce profits. c. Yes, a 95% confidence interval for the price elasticity of demand is [0.50 to 0.90] so the firm is on the elastic portion of the demand curve, and a price reduction will increase profit. d. No a 95% confidence interval for the price elasticity of demand is [0.50 to 0.90] so the firm is on the elastic portion of the demand curve, and so the effects of a price reduction cannot be determined.
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