Question

The sales decay for a product is given by

S = 20,000e−0.3x,
where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign.
(a) What will be the sales 2 months after the end of the campaign? (Round your answer to two decimal places.)
$

Answer 1

The sales 2 months after the end of the campaign will be approximately $10,976.

Step-by-step explanation:

To find the sales 2 months after the end of the campaign, we can substitute x = 2 into the equation S = 20,000e^(-0.3x). Using a calculator or mathematical software, we can calculate the value as follows:

S = 20,000e^(-0.3*2)

S = 20,000e^(-0.6)

S ≈ 20,000(0.5488)

S ≈ 10,976

Therefore, the sales 2 months after the end of the campaign will be approximately $10,976.