The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed:P = 1760 - 12QThe cost analysis department has estimated the total cost function for the poster bed asTC = (1/3)Q3 - 15Q2 + 5Q + 24,000a. Calculate the level of output that should be produced to maximize short-run profits. b. What price should be charged? c. Compute total profits at this price-output level. d. Compute the point price elasticity of demand at the profit-maximizing level of output. e. What level of fixed costs is the firm experiencing on its bed production? f. What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter10: Prices, Output, And Strategy: Pure And Monopolistic Competition
Section: Chapter Questions
Problem 8E
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The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed:

P = 1760 - 12Q

The cost analysis department has estimated the total cost function for the poster bed as

TC = (1/3)Q3 - 15Q2 + 5Q + 24,000

a. Calculate the level of output that should be produced to maximize short-run profits.
b. What price should be charged?
c. Compute total profits at this price-output level.
d. Compute the point price elasticity of demand at the profit-maximizing level of output.
e. What level of fixed costs is the firm experiencing on its bed production?
f. What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated?

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