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Show mathematically that when marginal cost is increasing, average cost must be less than the marginal cost

Accounting Dec 08, 2020

Show mathematically that when marginal cost is increasing, average cost must be less than the marginal cost.

Expert Solution

C= A+BQ: Cost function

AC= A/Q+B: AC = Average cost

MC= B: MC= marginal cost

When MC is rising, B>0.

So, AC=A/Q+MC.

As A/Q>0, So, AC<MC.

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