Question
A firm's marginal cost function is $M C=3 q^{2}+6 q+9$.(a) Write a differential equation for the total cost, $C(q)$.(b) Find the total cost function if the fixed costs are 400.
Step 1
The marginal cost is the derivative of the total cost function with respect to quantity. Therefore, we can write the differential equation for the total cost as $\frac{dC(q)}{dq}=MC=3q^{2}+6q+9$. Show more…
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