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Apply the marginal principle to determine the profit-maximizing price and output. Try these problems: 2, 21

Short Answer

Expert verified

Totalprofit will stop increasing when marginal cost equals marginal revenue because we will be losing money on any new products sold at that point.

As a result, when the condition, marginal cost = marginal revenue, is met, profits will be maximized.

Step by step solution

01

Defining marginal profit

First, let's define marginal profit. A firm or individual earns a marginal profit when one additional or marginal unit is produced and sold. The profit will be maximized to the extent that the total profit is maximized.

02

Profit maximizing price and output

The overall profit continues to rise as long as the marginal cost is less than or equal to the marginal revenue because it suggests that we would still make a profit on each new product sold.

Totalprofit will stop increasing when marginal cost equals marginal revenue because we will be losing money on any new products sold at that point.

As a result, profits will be maximized when marginal cost equals marginal revenue.

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Most popular questions from this chapter

Show the relationship between the elasticity of demand for a firmโ€™s product and its marginal revenue. Try these problems: 4, 14

The accompanying diagram shows the demand, marginal revenue, and marginal cost of a monopolist.

a. Determine the profit-maximizing output and price.

b. What price and output would prevail if this firmโ€™s product were sold by price-taking firms in a perfectly competitive market?

c. Calculate the deadweight loss of this monopoly

The second-largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly demand for electricity in these counties, which is given by the inverse demand function P=1,200 - 4Q, the utility company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1, and Q2 kilowatts are produced at facility 2 (so Q= Q1+ Q2). The costs of producing electricity at each facility are given by C1(Q1) = 8,000+6Q12 and C2(Q2) = 6,000 +3Q22, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility companyโ€™s profits.

Illustrate the relationship between marginal cost, a competitive firm's short-run supply curve, and the competitive industry supply; explain why supply curves do not exist for firms with market power. Try these problems: 5, 20

The bottom graph on page 315 summarizes the demand and costs for a firm that operates in a monopolistically competitive market.

a. What is the firm's optimal output?

b. What is the firm's optimal price?

c. What are the firm's maximum profits?

d. What adjustments should the manager be anticipating?

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