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David K.H. Begg, Gianluigi Vernasca-Economics-McGraw Hill Higher Education (2011)

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6.6 Marginal cost and marginal revenue<br />

25<br />

GI 20<br />

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c GI<br />

t<br />

I.<br />

15<br />

-<br />

a<br />

c<br />

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a<br />

10<br />

:E:<br />

Marginal revenue is the increase in the<br />

firm's revenue from on increase in soles<br />

by one unit. If the firm con sell more output<br />

only by reducing its price, marginal revenue<br />

declines as output rises.<br />

5<br />

0 -+-<br />

0 2 3 4 5 6 7 8 9 10<br />

Output<br />

Figure 6.2<br />

Marginal revenue<br />

Marginal revenue falls steadily for two reasons. First, because demand curves slope down, the extra unit<br />

must be sold at a lower price. Second, successive price reductions reduce the revenue earned from existing<br />

units of output, and at larger output there are more existing units on which revenue is lost when prices<br />

fall further. To sum up, (a) marginal revenue falls as output rises and (b) marginal revenue is less than the<br />

price for which the last unit is sold, because a lower price reduces revenue earned from existing output (see<br />

Maths 6.1).<br />

MR, MC and the output choice<br />

Combining marginal cost (MC) and marginal revenue (MR), Table 6.6 examines the output that maximizes<br />

the firm's profits. If MR exceeds MC, a I-unit increase in output will increase profits. The last column<br />

shows that this reasoning leads the firm to make at least 6 units of output. The firm now considers increasing<br />

output from 6 to 7 units. Marginal revenue is £9 and marginal cost £12. Profits fall by £3. Output should<br />

not be expanded to 7 units, or to any level above this.<br />

The firm should expand up to 6 units of output but no further. This output maximizes profits, as we know<br />

already from Table 6.5.<br />

Table 6.3, based on total cost and total revenue, and Table 6.6, based on marginal cost and marginal<br />

revenue, are different ways to study the same problem. Economists frequently use marginal analysis. Is<br />

there a small change that could make the firm better off? If so, the current position cannot be the best<br />

possible one and changes should be made.<br />

Marginal analysis should be subjected to one very important check. It may miss an all-or-nothing choice.<br />

For example, suppose that MR exceeds MC up to an output level of 6 units but thereafter MR is less than<br />

MC. Six units is the best positive output level. However, if the firm incurs large costs whether or not it<br />

produces (for example, a vastly overpaid managing director), the profit earned from producing 6 units<br />

may not cover these fixed costs. Conditional on paying these fixed costs, an output level of 6 units is then<br />

the loss-minimizing output level. Shareholders might do better to shut the firm and fire the fat cat boss. We<br />

examine this issue in the next chapter.<br />

135

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