Monopoly Profit Maximization and Production Strategies

Profit Maximization in Monopoly

The marginal cost (MC) is half the slope of the total revenue curve. The production level that maximizes benefits is Q* = 10, the point where marginal revenue (MR) equals marginal cost (MC). At this production level, the slope of the profit curve is zero, and the slopes of the total cost and total revenue curves are equal. The profit per unit is $15, calculated as the difference between average revenue and average cost. With 10 units, the total profit is $150.

Demand Shifts and Monopoly Supply

A monopoly does not have a traditional supply curve because there is no unique relationship between price and quantity produced. When the demand curve shifts from D1 to D2, the new marginal revenue curve (MR2) intersects the marginal cost curve at a different production level. If demand becomes more elastic, the price may remain stable despite changes in quantity.

The Effect of Taxation

A tax on production affects a monopolist differently than a competitive industry. As shown in Figure 7, before the tax, quantities and prices are Q0 and P0; after the tax, they shift to Q1 and P1. The upward shift of the marginal cost curve causes a decline in quantity and a price increase. Unlike in a competitive market, the price increase can sometimes exceed the tax amount, depending on the relationship between marginal cost and demand elasticity.

Multi-Plant Production Strategy

For companies operating with more than one facility, production levels are determined in two steps:

• Step 1: Marginal costs of both plants must be equal; otherwise, the company could reduce costs and increase profits.
• Step 2: Total production must be set so that marginal revenue equals marginal cost; otherwise, profit could be increased by adjusting the total production level.