The profit made when $t$ units are sold, $t 0$, is given by $P = t ^ { 2 } - 33 t + 272$. Determine the number of units to be sold in order for $\mathrm { P } = 0$ (the break- even point).

Question

The profit made when $t$ units are sold, $t > 0$, is given by $P = t ^ { 2 } - 33 t + 272$. Determine the number of units to be sold in order for $\mathrm { P } = 0$ (the break- even point).

Quizplus · Accepted Answer

To find the break-even point, we set $P = 0$ and solve the quadratic equation $t^2 - 33t + 272 = 0$. Factoring the equation, we get $(t - 16)(t - 17) = 0$, which gives us $t = 16$ or $t = 17$. These are the points where the profit is zero, indicating the break-even points.

The Profit Made When ttt Units Are Sold t>0t > 0t>0 , Is Given By

The Profit Made When $t$ Units Are Sold $t > 0$ , Is Given By