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Marginal cost = derivative of (Total cost/Quantity)

Where Total cost = fixed cost + variable cost

Marginal cost = derivative (Variable cost/Quantity) (by definition, fixed costs do not vary with quantity produced)

Average cost = Total cost/Quantity

The rate of change of average cost is equivalent to its derivative.

Thus,

AC' = derivative(Total cost/Quantity) => derivative (Variable cost/Quantity) = MC.

So, when MC is increasing, AC' is increasing. That is, when marginal cost increases, the rate of change of average cost must increase, so average cost is always increasing when marginal cost is increasing.

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Q: Why average cost increase when marginal cost is increasing?
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Related questions

If average total cost is greater than marginal cost average total cost must be increasing is the true or false?

true


How do you find marginal average cost?

Marginal cost comes from the costs of producing just one more of something.


What are benefits of marginal costing?

Marginal cost is the extra cost incurred in producing one unit of a product.If the marginal cost is more than average cost that means that costs are increasing and if it is less it means costs are decreasing.This way we find out how are business is progressing.


If average cost increases does marginal cost increase?

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Does marginal cost curve always intersect the average cost curve at the average cost curve's lowest point?

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What happens to marginal cost after the point where it equals average variable cost?

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What should a monopoly do if marginal revenue exceeds marginal cost?

increase output


When marginal cost is less than the average total cost the average total cost is falling why?

as a marginal cost is the cost of the next product produced, if this is less than average cost, when you continue to produce more products the lower marginal cost will have an affect on the average and cause it to fall.


6 If the average total cost curve is falling what is necessarily true of the marginal cost curve If the average total cost curve is rising what is necessarily true of the marginal cost curve?

When average total cost curve is falling it is necessarily above the marginal cost curve. If the average total cost curve is rising, it is necessarily below the marginal cost curve.


Equation for marginal cost and average cost?

Marginal cost - the derivative of the cost function with respect to quantity. Average cost - the cost function divided by quantity (q).