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

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CHAPTER 7 Costs and supply<br />

Table 7.3<br />

Short-run overage costs of production<br />

SAFC Short-run SAVC Short-run<br />

Output average fixed cost average variable cost<br />

1 30.00 22.00<br />

2 15.00 19.00<br />

3 10.00 16.00<br />

4 7.50 15.25<br />

5 6.00 15.80<br />

- --<br />

6 5.00 17.00<br />

7<br />

--<br />

4.29 18.71<br />

8 3.75 20.75<br />

9 3.33 23.00<br />

10 3.00 25.50<br />

SATC Short-run<br />

average total cost<br />

52.00<br />

34.00<br />

26.00<br />

22.75<br />

21.80<br />

22.00<br />

23.00<br />

24.50<br />

26.33<br />

28.50<br />

SMC Short-run<br />

marginal cost<br />

22<br />

16<br />

10<br />

13<br />

18<br />

23<br />

29<br />

35<br />

41<br />

48<br />

-<br />

<br />

-<br />

On the relationship between short-run marginal and average costs<br />

In Figure 7.6 we plot the short-run marginal and average costs. Two facts stand out from this figure:<br />

SATC is falling when SMC is less than SATC, while it is rising when SMC is greater than SATC. The<br />

same applies for the relationship between SMC and SAVC.<br />

2 SATC is at a minimum at the output at which the LMC curve and the SATC curve cross (point A in<br />

Figure 7.6). The SAVC is at its minimum at the<br />

output at which the LMC curve and the SAVC<br />

60 curve cross (point Bin Figure 7.6).<br />

50<br />

40<br />

:? 30<br />

Ill<br />

0<br />

u<br />

20<br />

10<br />

Figure 7.5<br />

SATC<br />

SAFC<br />

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

Output (goods per week)<br />

Short-run average cost curves<br />

Neither fact is an accident. The relationship<br />

between average and marginal is a matter of<br />

arithmetic, as relevant for football as for<br />

production costs. A footballer with 3 goals in 3<br />

games averages l goal per game. Two goals in the<br />

next game, implying 5 goals from 4 games, raise<br />

the average to 1.25 goals a game. In the fourth<br />

game, the marginal goals were 2, raising total<br />

goals from 3 to 5. Because the marginal score<br />

exceeds the average score in previous games, the<br />

extra game must drag up the average.<br />

The same holds for production costs. When the<br />

marginal cost of the next unit exceeds the average<br />

cost of the existing units, making the next unit<br />

must raise average cost. If the marginal cost of<br />

the next unit lies below the average cost of<br />

existing units, an extra unit of production drags<br />

152

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