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A general graphical representation

15 February, 2016 - 09:58

In Figure 10.6 we generalize the graphical representation of the monopoly profit maximizing output by allowing the MC curve to be nonlinear, and by introducing the ATC curve. The optimal output is at Q_E, where MR = MC, and the price P_E sustains that output. With the average cost known, profit per unit is AB, and therefore total profit is this margin multiplied by the number of units sold, Q_E.

Total profit is therefore P_EABC_E.

Note that the monopolist may not always make a profit. Losses could result in Figure 10.6 if average costs were to rise with no change in demand conditions 1. For example, if the ATC curve shifted upwards so that it lay everywhere above the demand curve, and the MC remained unchanged, then the output where MC = MR is again QE. In this case losses would result. In the longer term the monopolist would have to either reduce costs or perhaps stimulate demand through advertising if she wanted to continue in operation.

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Figure 10.6 The monopoly equilibrium
 

The profit maximizing output is Q_E , where MC = MR. This output can be sold at a price P_E . The cost per unit of Q_E is read from the ATC curve, and equals B. Per unit profit is therefore AB and total profit is P_EABC_E .