Question

The total profit function P(x) for a company producing x thousand units is given by
P(x) = -2x^2 + 32x - 56. Find the values of x for which the company makes a profit.

Answer 1

your job is to solve
\[-2x^2+32x-56>0\] probably easiest to divide by \(-2\) and solve instead
\[x^2-16x+28<0\]