A company manufacturers and sells electric drills per month. The monthly cost and price-demand equations are \begin{align*} C(x) &= 63000 + 60 x,\\ p &= 180 - \frac{x}{30}, \qquad 0 \leq x\leq 5000. \end{align*} (A) Find the production level that results in the maximum revenue.
Production Level =
(B) Find the price that the company should charge for each drill in order to maximize profit.
Price =
(C) Suppose that a 5 dollar per drill tax is imposed. Determine the number of drills that should be produced and sold in order to maximize profit under these new circumstances.
Number of drills =
You can earn partial credit on this problem.