Solve the problem.
-The profit made when $t$ units are sold, $t > 0$ , is given by $\mathrm { P } = \mathrm { t } ^ { 2 } - 27 \mathrm { t } + 170$ . Determine the number of units to be sold in order for $\mathrm { P } > 0$ (a profit is made) .

Question

Solve the problem.
-The profit made when

t

units are sold,

t > 0

, is given by

\mathrm { P } = \mathrm { t } ^ { 2 } - 27 \mathrm { t } + 170

. Determine the number of units to be sold in order for

\mathrm { P } > 0

(a profit is made) .

Quizplus · Accepted Answer

To determine the number of units for which $P > 0$, we need to solve the inequality $t^2 - 27t + 170 > 0$. Factoring the quadratic expression, we get $(t-17)(t-10) > 0$. This inequality holds true when $t > 17$ or $t < 10$, indicating that a profit is made when more than 17 units are sold or less than 10 units are sold.

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