When a Manufacturer Produces and Sells X Units Per Week $P = 100 \left( 2000 + 120 x - x ^ { 2 } \right)$

Short Answer

When a manufacturer produces and sells x units per week, its weekly profit is P dollars, where $P = 100 \left( 2000 + 120 x - x ^ { 2 } \right)$ Production level t weeks from the present will be $x = \frac { t } { 2 } - 16$ Find the rate of change in profit with respect to x. Enter your answer as a polynomial in x in standard form (not labeled).