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I have been asked a question and believe there is a mistake in the problem.

I have been given a table of values, Quantity and corresponding Total cost. From those numbers I can easily calculate the Average total cost and marginal cost.

I am asked to find the fixed and variable cost for each quantity. The question provides no other information. Is this possible?

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    $\begingroup$ @MB1992 I believe that with a little amount of mathematical notation added, this comment should be posted as an answer - after all that is all there is to it (and we do need to clear our "unanswered queue" as much as possible). $\endgroup$ – Alecos Papadopoulos Nov 23 '16 at 22:38
  • $\begingroup$ Is your marginal cost constant? or do you have TC(0) in your table ? $\endgroup$ – Yann Nov 24 '16 at 11:18
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As said in my comment,

The fixed cost is usually defined as the cost when quantity is equal to zero, and the variable cost as the total cost minus the fixed cost.

Hence, if $TC(q)$ is the total cost for the given level of quantity $q$, then $FC=TC(0)$ is the fixed cost, which is a constant independent of $q$; and $VC(q)=TC(q)-FC$ is the variable cost.

For example, if $TC(q)=10+q$, then $FC=TC(0)=10$ and $VC(q)=TC(q)-FC=q$.

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