Chapter 3: Q4LO (page 114)
Explain the relationship between marginal revenue and the own price elasticity of demand.
Short Answer
The marginal revenue increases with the decrease in own price elasticity of demand.
Chapter 3: Q4LO (page 114)
Explain the relationship between marginal revenue and the own price elasticity of demand.
The marginal revenue increases with the decrease in own price elasticity of demand.
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Get started for freeSuppose the demand function for a firmโs product is given by
where .
a. Determine the own price elasticity of demand, and state whether demand is elastic, inelastic, or unitary elastic.
b. Determine the cross-price elasticity of demand between good X and good Y, and state whether these two goods are substitutes or complements.
c. Determine the income elasticity of demand, and state whether good X is a normal or inferior good.
d. Determine the own advertising elasticity of demand
As newly appointed โEnergy Czar,โ your goal is to reduce the total demand for residential heating fuel in your state. You must choose one of three legislative proposals designed to accomplish this goal: (a) a tax that would effectively increase the price of residential heating fuel by ; (b) a subsidy that would effectively reduce the price of natural gas by; or (c) a tax that would effectively increase the price of electricity (produced by hydroelectric facilities) by . To assist you in your decision, an economist in your office has estimated the demand for residential heating fuel using a linear demand specification. The regression results are presented on page 119. Based on this information, which proposal would you favor? Explain.
Show how to determine elasticities from linear and log-linear demand functions.
You are a division manager at Toyota. If your marketing department estimates that the semi-annual demand for the Highlander is, what price should you charge in order to maximize revenues from sales of the Highlander?
As the owner of Barneyโs Broilersโa fast-food chainโyou see an increase in the demand for broiled chicken as consumers become more health conscious and reduce their consumption of beef and fried foods. As a result, you believe it is necessary to purchase another oven to meet the increased demand. To finance the oven, you go to the bank seeking a loan. The loan officer tells you that your revenues of are insufficient to support additional debt. To qualify for the loan, Barneyโs Broilersโs revenue would need to be higher. In developing a strategy to generate the additional revenue, you collect data on the price (in cents) per pound you charge customers and the related quantity of chicken consumed per year in pounds. This information is contained in the file called Q18.xls available online at www.mhhe.com/baye8e. Use these data and a log-linear demand specification to obtain least squares estimates of the demand for broiled chicken. Write an equation that summarizes the demand for broiled chicken, and then determine the percentage price increase or decrease that is needed in order to boost revenues by .
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