Solve the problem.
-The profit made when $t$ units are sold, $t > 0$ , is given by $P = t ^ { 2 } - 25 t + 156 .$ Determine the number of units to be sold in order for $\mathrm { P } < 0$ (a loss is taken) .

Question

Solve the problem.
-The profit made when

t

units are sold,

t > 0

, is given by

P = t ^ { 2 } - 25 t + 156 .

Determine the number of units to be sold in order for

\mathrm { P } < 0

(a loss is taken) .

Quizplus · Accepted Answer

To determine when $P < 0$, we solve the inequality $t^2 - 25t + 156 < 0$. Factoring the quadratic equation, we find the roots to be $t = 12$ and $t = 13$. The inequality is satisfied between these two roots, hence $12 < t < 13$.

Solve the Problem ttt Units Are Sold t>0t > 0t>0 , Is Given By

Solve the Problem $t$ Units Are Sold $t > 0$ , Is Given By