The sales of a mature product (one which has passed its peak) will decline by the function $\left. \mathrm { S } ^ { \mathrm { t } } \right) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - a t }$, where $\mathrm { t }$ is time in years. Find the sales after 8 years if $\mathrm { a } = 0.18$ and $\mathrm { S } _ { 0 } = 48,500$.
A) 58,065
B) 5746
C) 245,075
D) 11,491

Question

Quizplus · Accepted Answer

The sales after 8 years is given by:$\left. \mathrm { S } ^ { \mathrm { t } } \right) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - a t } = 48,500 \mathrm { e } ^ { - 0.18 \times 8 } = 11,491$

The Sales of a Mature Product (One Which Has Passed St)=S0e−at\left. \mathrm { S } ^ { \mathrm { t } } \right) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - a t }St)=S0​e−at

The Sales of a Mature Product (One Which Has Passed $\left. \mathrm { S } ^ { \mathrm { t } } \right) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - a t }$