why MC falls faster than AC?

Average cost is composed of average fixed costs and average variable cost. On the other hand, MC is composed of only the change in variable cost. 

Now, with the increase the production, the rate of fall in the variable cost is greater than the rate at which the fixed costs and variable costs together fall. It is the fixed costs that keeps a check on the rate of fall of average cost.

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mc falls faster than AC because AC is the addition of increasing +decreasing returns of MC (it is the addition of all the MC and MC is every single additional unit to TC which rises in the beginning and tghen falls in the end

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