2. Smile Bright toothpaste company has determined that the demand for its product depends on advertising expenditures A (in thousands of dollars) and the price charged P (in dollars) according to Q = 32A12- 64P, where Q is the umber of tubes of toothpaste sold. The company's marginal costs of production are constant and equal to 50 cents per tube. A. What levels of output, advertising expenditures, and price will maximize the firm's profits? B. Verify at the solution you have found in part A that the marginal revenue from advertising equals the price elasticity of demand.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter23: Profit Maximization
Section: Chapter Questions
Problem 9E
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2. Smile Bright toothpaste company has determined that the demand for its product
depends on advertising expenditures A (in thousands of dollars) and the price charged P
(in dollars) according to
Q = 32A12 - 64P,
where Q is the number of tubes of toothpaste sold. The company's marginal costs of
production are constant and equal to 50 cents per tube.
A. What levels of output, advertising expenditures, and price will maximize the firm's
profits?
B. Verify at the solution you have found in part A that the marginal revenue from
advertising equals the price elasticity of demand.
Transcribed Image Text:2. Smile Bright toothpaste company has determined that the demand for its product depends on advertising expenditures A (in thousands of dollars) and the price charged P (in dollars) according to Q = 32A12 - 64P, where Q is the number of tubes of toothpaste sold. The company's marginal costs of production are constant and equal to 50 cents per tube. A. What levels of output, advertising expenditures, and price will maximize the firm's profits? B. Verify at the solution you have found in part A that the marginal revenue from advertising equals the price elasticity of demand.
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