A certain company makes and sells outdoor firepits. The profit function is given by P(q) = -600 + 40q - 0.04q².
(a) If the company doesn't sell any firepits, what is its profit? Explain in a sentence what this represents.
(b) What number of firepits will maximize profit?
(c) Give two reasons why your answer to (b) must be a maximum.
(d) What is the maximum profit?
