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

Multiple Choice

The sales of a mature product (one which has passed its peak) will decline according to the function $\mathrm { S } ( \mathrm { t } ) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - \mathrm { at } }$ , where $\mathrm { t }$ is time in years since the peak sales. Find the sales of a product 17 years after its peak sales if $\mathrm { a } = 0.24$ and $\mathrm { S } _ { 0 } = 50,900$ .

A) 3,827,101 units
B) 431 units
C) 64,707 units
D) 861 units