In this chapter, we will assume that the monopolist charges all customers the same price. The monopolist faces the whole demand of the market. We can compare with a perfectly competitive market by looking again at Figure. The individual firm in a competitive market only faces a small part of the market. Therefore, it can be represented as in the right-hand side of the figure. A monopolist is the whole market. Therefore, it looks like the left-hand side of the figure. In order to sell more goods, the monopolist has do reduce the price, and the demand curve it faces will therefore slope downwards.
Now. note that the demand curve is decided by the consumers and not by the firm. It answers the question: if we would offer a certain price, how many units would we then be able to sell? In the perfectly competitive market, marginal revenue was equal to the price. That is not the case for a monopolist. For the monopolist to be able to sell an additional unit of the good, she must lower the price of all units. The total effect of selling one more unit then consists of both what she is paid for the last unit and of the reduction of revenue from all the other units that she now has to sell at the lower price. Consequently, the marginal revenue will be lower than the price.
Let us see what this means for a good with linear demand. If the demand curve is a straight lme. the MR curve will also be a straight line with the same intercept on the Y-axis as the demand curve. However, it will have a slope with twice the magnitude. (To show that, we need to use the derivative, but this, again, is outside the scope of this book.)
We will use the demand curve Od = 30 - p. or if we solve for p: p = 30 - Od . If the MR curve is to start in the same point and have a slope that is twice as large, its functional form must be MR = 30 - 2*Od. (The constant is the same, 30. and the slope is changed from -1 to -2). In Figure the curves are drawn as D and MR. We have also drawn a marginal cost curve, MC (= 2*0), an average cost curve. ATC. and an average variable cost curve, A VC (= Q). and. in the lower part of the figure, total revenue. TR. and profit, n.