The sales of a mature product (one which has passed its peak) are given by the function $S(t)=S_{0} e^{-a t}$, where $t$ is time in years. Find the sales after 25 years if $a=0.15$ and $S_{0}=16,600$.
A) 195
B) 14,288
C) 390
D) 336

Question

Quizplus · Accepted Answer

The sales after 25 years can be calculated by substituting the given values into the formula: $S(t) = S_{0} e^{-a t}$. So, $S(25) = 16600 e^{-0.15 \times 25} = 16600 e^{-3.75}$. Calculating this gives approximately 390.

The Sales of a Mature Product (One Which Has Passed S(t)=S0e−atS(t)=S_{0} e^{-a t}S(t)=S0​e−at

The Sales of a Mature Product (One Which Has Passed $S(t)=S_{0} e^{-a t}$