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=1,265−9Q�=1,265−9� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is .

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=1,265−9Q�=1,265−9� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is .

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

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 9E

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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=1,760−12Q�=1,760−12� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is . The total profit at this price-output level is . The point price elasticity of demand at the profit-maximizing level of output is . The level of fixed costs the firm is experiencing on its bed production is . What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated? Increase No change Decrease Price Charged Output Produced Profits Generated
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 = 1,265-9Q The cost analysis department has estimated the total cost function for the poster bed as TC = -15Q3 +5Q +24,000 Short-run profits are maximized when the level of output is The total profit at this price-output level is The point price elasticity of demand at the profit-maximizing level of output is The level of fixed costs the firm is experiencing on its bed production is What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated? Price Charged Output Produced Profits Generated Increase No change Decrease O O and the price is $ O O
Robert’s New Way Vacuum Cleaner Company is a newly started small business that produces vacuum cleaners and belongs to a monopolistically competitive market. Its demand curve for the product is expressed as Q = 5000 – 25P where Q is the number of vacuum cleaners per year and P is in dollars. Cost estimation processes have determined that the firm’s cost function is represented by TC = 1500 + 20Q + 0.02Q2. Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary. What are the profit-maximizing price and output levels? Explain them and calculate algebraically for equilibrium P (price) and Q (output). Then, plot the MC (marginal cost), D (demand), and MR (marginal revenue) curves graphically and illustrate the equilibrium point. How much economic profit do you expect that Robert’s company will make in the first year? Do you expect this economic profit level to continue in subsequent years? Why or why not?
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?
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