The sales decay for a product is given by S 50000e04x where

The sales decay for a product is given by S = 50,000e^0.4x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (Round your answers to two decimal places.)

(a) What will be the sales 4 months after the end of the campaign?

$

(b) How many months after the end of the campaign will sales drop below 1000, if no new campaign is initiated?

months

Solution

a>

S = 50000 e^-0.4x

x= 4 months

S = 50000e^-0.4*4 = 50000e^-1.6 = 10094.83

Sales =10094.83