1. Sales decay After the end of an advertising campaign, the sales of a product are given by
S = 100,000e-0.5t
where S is weekly sales in dollars and t is the number of weeks since the end of the campaign.
(a) Find the rate of change of S (that is, the rate of sales decay).
(b) Give a reason from looking at the function and another reason from looking at the derivative that explain how you know sales are decreasing.
2. The sales decay for a product is given by
S = 50,000e-0.8t
where S is the daily sales in dollars and t is the number of days since the end of a promotional campaign. Find the rate of sales decay.