A firm's short run total cost function is TC= 0.75q² +8q+300. The firm is a monopolist and the inverse demand function for its product is p = 201 2q, Find the most profitable level of output, and the profits at that output. Sketch the graphs of the inverse demand function, marginal revenue and marginal cost function with the same axes, showing the equilibrium price, MR and MC, and the output. Sketch the graph of total cost and total revenue with the same axes, showing the quilibrium output and profits. Sketch the graph of the profit function, showing the quilibrium output and profits.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
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P2: Economic Applications of Functions and Derivatives
a. A firm's short run total cost function is TC = 0.75q2 +8q+300. The firm is a
monopolist and the inverse demand function for its product is P = 201 - 2q.
Find the most profitable level of output, and the profits at that output.
b. Sketch the graphs of the inverse demand function, marginal revenue and
marginal cost function with the same axes, showing the equilibrium price, MR
and MC, and the output.
c. Sketch the graph of total cost and total revenue with the same axes, showing the
equilibrium output and profits. Sketch the graph of the profit function, showing the
equilibrium output and profits.
Transcribed Image Text:P2: Economic Applications of Functions and Derivatives a. A firm's short run total cost function is TC = 0.75q2 +8q+300. The firm is a monopolist and the inverse demand function for its product is P = 201 - 2q. Find the most profitable level of output, and the profits at that output. b. Sketch the graphs of the inverse demand function, marginal revenue and marginal cost function with the same axes, showing the equilibrium price, MR and MC, and the output. c. Sketch the graph of total cost and total revenue with the same axes, showing the equilibrium output and profits. Sketch the graph of the profit function, showing the equilibrium output and profits.
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