(Q: 12-2508858) A single-price monopolist faces an inverse demand function of: P(Q,B) = 100-Q+B a constant $10 per unit, the cost per unit of advertising is $1, and there are no fixed costs. Solve for the firm's profit-maximizing price, quantity, and level of advertising. Hint: the profit function must be maximized with respect to two choice variables (Q and B). The profit-maximizing quantity is units. (round your answer to two decimal places) The profit-maximizing level of advertising is units. (round your answer The profit-maximizing price is $. (round your answer to two decimal places) two decimal places) , where Q is the quantity, P is the price, and B is the level of advertising. The marginal cost

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.5P
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(Q: 12-2508858] A single-price monopolist faces an inverse demand function of: P(Q,B) = 100-Q+B0.5, where Q is the quantity, P is the price, and B is the level of advertising. The marginal cost is
a constant $10 per unit, the cost per unit of advertising is $1, and there are no fixed costs.
Solve for the firm's profit-maximizing price, quantity, and level of advertising.
Hint: the profit function must be maximized with respect to two choice variables (Q and B).
The profit-maximizing quantity is units. (round your answer to two decimal places)
The profit-maximizing level of advertising is units. (round your answer to two decimal places)
The profit-maximizing price is $. (round your answer to two decimal places)
Transcribed Image Text:(Q: 12-2508858] A single-price monopolist faces an inverse demand function of: P(Q,B) = 100-Q+B0.5, where Q is the quantity, P is the price, and B is the level of advertising. The marginal cost is a constant $10 per unit, the cost per unit of advertising is $1, and there are no fixed costs. Solve for the firm's profit-maximizing price, quantity, and level of advertising. Hint: the profit function must be maximized with respect to two choice variables (Q and B). The profit-maximizing quantity is units. (round your answer to two decimal places) The profit-maximizing level of advertising is units. (round your answer to two decimal places) The profit-maximizing price is $. (round your answer to two decimal places)
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