Solve the problem.
-The profit made when $t$ units are sold, $t > 0$ , is given by $P = t ^ { 2 } - 28 t + 192$ . Determine the number of units to be sold in order for $P < 0$ (a loss is taken) .

Question

Solve the problem.
-The profit made when

t

units are sold,

t > 0

, is given by

P = t ^ { 2 } - 28 t + 192

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

P < 0

(a loss is taken) .

Quizplus · Accepted Answer

To find the range of $t$ for which $P < 0$, we first factor the quadratic equation $P = t^2 - 28t + 192$. Factoring gives us $(t - 12)(t - 16)$. Setting $P < 0$ implies that $t$ must be between the roots 12 and 16, hence $12 < t < 16$.

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