The monthly income I, in dollars, from a new product is given by

Question

I(t) = 75000 − 55000e^−0.003t

where t is the time, in months, since the product was first put on the market. (Round your answers to the nearest dollar amount.)

(a) What was the monthly income after the 60th month and after the 140th month?
I(60) = __________$
I(140) =_________ $

(b) What will the monthly income from the product approach as the time increases without bound?
____________$

Answer 1

replace t with 60and find l(t)

replace l(t) with 140 and take the ln of both sides to solve for t.