Solve the problem.
-The price $P$ of a certain computer system decreases immediately after its introduction and then increases. If the price $P$ is estimated by the formula $P=150 t^{2}-2000 t+6600$, where $t$ is the time in months from its introduction, find the time until the minimum price is reached. Round to the nearest tenth if necessary.
A) 6.7 months
B) 26.7 months
C) 13.3 months
D) 10 months

Question

Quizplus · Accepted Answer

The minimum price is reached at the vertex of the parabola represented by the quadratic equation. The vertex $t$ is found using the formula $-b/(2a)$. Here, $a = 150$ and $b = -2000$, so $t = -(-2000)/(2*150) = 6.7$ months.

Solve the Problem PPP Of a Certain Computer System Decreases Immediately After Its Introduction

Solve the Problem $P$ Of a Certain Computer System Decreases Immediately After Its Introduction