Question

Profit P(x) can be calculated as revenue minus cost. R(x) = 55x - 2x2 C(x) = 21x + 97 P(x) = - 2x2 + 34x - 97 Calculate the x-value that maximizes profit.

Answer 1

8.5

Explanation:

The vertex of a quadratic ax²+bx+c is located at x = -b/(2a). When the x² coefficient is negative, the vertex represents a maximum.

For P(x), the x-value of the maximum profit is ...

... x = -34/(2(-2))

... x = 8.5