a woman's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by S(t)= 20,000 (1+e^-.6t), 0 less than or equal to t less than or equal to 5 dollars. find to the nearest dollars the rate of change of sales volume when t=1

Answer 1

The rate of change of sales volume is the derivative of S(t)

S'(t) = dS/dt = 20,000 * -0.6 * e^(-0.6*t)

Let t = 1, and find the value of S'(1)