# Shutting off production in short term

could you help me to solve the task, please? The task is following. Total costs of the сompetitive firm are $TC = Q^3 +6$ (Q in thousands \$). If the production is stopped then monthly costs are 4000\$. At what prices the company that maximising profit should shut off the production?

I know that if $P < minAVC$, then the company should stop producing. So $VC = Q^3$ then $AVC = \frac{Q^3}{Q} = Q^2$ and $minAVC = 0$ So I get $P<0$ that sounds stupid. And I don't even know how to use that 4000\$. The answer should be$P<3$Could you help me to find out how to solve this? Thank you in advance. • Realistically, you can get VC=0 only if Q=0.But if Q=0, then you do NOT have AVC, because you would divide by zero. Commented Jan 8, 2018 at 13:27 • "(I made a mistake, there was 'AC=Q^3', but still, not ATC)" AC is just shorthand for ATC, as far as I know. Commented Jan 8, 2018 at 13:30 • oh, didn't know that. it was just a typo. But still, any thoughts what should I do to get a correct answer? :D Commented Jan 8, 2018 at 13:37 • One more thing, I think it's strange that according to function of TC the fixed costs are$6000 (when Q=0), but then you say that fixed costs will be 4000 dollars if the firm stops. Commented Jan 8, 2018 at 13:53