Solve the problem.
-The profit made when $t$ units are sold, $t 0$, is given by $P = t ^ { 2 } - 31 t + 228$. Determine the number of units to be sold in order for $\mathrm { P } = 0$ (the break- even point).
A) $t = 31$
B) $\mathrm { t } = 19$ or $\mathrm { t } = 12$
C) $t 19$
D) $t = - 19$ or $t = - 12$

Question

Solve the problem.
-The profit made when $t$ units are sold, $t > 0$, is given by $P = t ^ { 2 } - 31 t + 228$. Determine the number of units to be sold in order for $\mathrm { P } = 0$ (the break- even point).
A) $t = 31$
B) $\mathrm { t } = 19$ or $\mathrm { t } = 12$
C) $t > 19$
D) $t = - 19$ or $t = - 12$

Quizplus · Accepted Answer

To find the break-even point, we set $P = 0$ and solve the quadratic equation $t^2 - 31t + 228 = 0$. Factoring the equation gives $(t - 19)(t - 12) = 0$, which means $t = 19$ or $t = 12$ are the solutions. These are the points where the profit is zero, indicating the break-even points.

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