# Will a shift in the average total cost curve mean that the marginal cost curve will also shift up?

I understand the basic concept of marginal cost and average total cost. I am currently learning about costs curve for an oligopoly

I read online that the marginal cost is not determined by fixed costs, as the derivative of them is zero.

Based on this, is it possible for the average total cost curve to shift upwards without the marginal cost curve also shifting upwards? For example, when the fixed costs increase (rent goes up for example), would this cause a shift in the average cost curve upwards? And would marginal cost not increase?

No, a shift in the average total cost curve does not necessarily mean that the marginal cost curve will also shift up.

Your intuition is correct. Here is a simple numerical example:

Consider a shift from the total cost function $$C_1(q)=q$$ to $$C_2(q)=1+q$$.

Then the average cost functions shifts upward from $$AC_1(q)=1$$ to $$AC_2(q)=1/q+1$$.

But the marginal cost function which was $$MC_1(q)=1$$ remains unchanged at $$MC_2(q)=1$$.

• Thanks, just to clarify, when something like rent increases, the fixed cost and average cost curve will move up by one, right? Mar 13 '20 at 3:21
• You're right. I made a mistake and should have said that if the average fixed costs shift up by 1, then average costs also shift up by 1. If total fixed costs shift up by 1, then as in the example given above, the average cost curve shifts up by 1/q.
– user18
Mar 13 '20 at 5:39