The sales of a mature product (one which has passed its peak) will decline according to the function $\mathrm{S}(\mathrm{t})=\mathrm{S}_{\mathrm{O}} \mathrm{e}^{- \text {at }}$, where $\mathrm{t}$ is time in years since the peak sales. Find the sales of a product 22 years after its peak sales if $\mathrm{a}=0.13$ and $\mathrm{So}=15,100$.
A) 17,196
B) 865
C) 300,274
D) 433

Question

Quizplus · Accepted Answer

The sales after 22 years can be calculated using the formula $S(t) = S_0 e^{-at}$. Plugging in the values, $S(22) = 15100 \times e^{-0.13 \times 22}$, which approximately equals 865.

The Sales of a Mature Product (One Which Has Passed S(t)=SOe−at \mathrm{S}(\mathrm{t})=\mathrm{S}_{\mathrm{O}} \mathrm{e}^{- \text {at }}S(t)=SO​e−at

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