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

Multiple Choice

Solve each problem.
-The price $P$ of a certain computer system decreases immediately after its introduction and then increases. If the price $\mathrm{P}$ is estimated by the formula $\mathrm{P}=130 \mathrm{t}^{2}-2500 t+6900$ , where $\mathrm{t}$ is the time in months from its introduction, find the time until the minimum price is reached.

A) 19.2 months
B) 38.5 months
C) 12.5 months
D) 9.6 months