Plot the marginal revenue curve associated with the following demand curve faced by a monopolist

step 1 This question wants us to draw a graph that shows a monopolist earning a profit and we should in

Plot the marginal revenue curve associated with the...

Key Concepts

Marginal Revenue Curve

The marginal revenue curve shows the additional revenue a firm earns when it sells one more unit of output. For monopolists or firms in monopolistic competition facing a downward sloping demand curve, the marginal revenue earned on each additional unit is less than the price at which it is sold because a price reduction is necessary to sell more units. Graphically, when the demand curve is linear, the marginal revenue curve typically has the same intercept as the demand curve but a slope that is twice as steep.

Demand Curve

The demand curve represents the relationship between the price of a good and the quantity demanded by consumers, typically depicted as a downward sloping line. In market structures like monopoly or monopolistic competition, the demand curve illustrates how a firm’s ability to set prices is limited by consumers’ responsiveness to price changes. This curve is fundamental to understanding market behavior and the effects of changes in price on sales volume.

Relationship between Demand and Marginal Revenue

Understanding the relationship between the demand curve and the marginal revenue curve is critical in monopoly pricing decisions. As prices are lowered to sell additional units, the marginal revenue decreases faster because of the lost revenue on previous units sold at a higher price. This concept explains why even if a firm faces a linear demand curve, its marginal revenue declines more rapidly, affecting its optimal output and pricing decisions.

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