The sales of a mature product (one which has passed its peak) will decline by the function $S _ { ( t ) } = S _ { 0 } e ^ { - a t }$, where $t$ $s$ time in years. Find the sales after 16 years if a $= 0.19$ and $S _ { 0 } = 81,600$.
A) 98,675 products
B) 2,062,820 products
C) 1952 products
D) 3903 products

Question

Quizplus · Accepted Answer

To find the sales after 16 years, substitute $a = 0.19$, $S_0 = 81,600$, and $t = 16$ into the given formula: $S(t) = 81,600 \cdot e^{-0.19 \cdot 16}$. Calculating this gives $S(16) \approx 3903$ products.

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 $S _ { ( t ) } = S _ { 0 } e ^ { - a t }$