Question

Revenue flows into a company at a rate of f(t) = 3000 1 + 5t , where t is measured in years and f(t) is measured in dollars per year, find the total revenue obtained in the first seven years.

Answer 1

Answer:

$F = 388500\,dollars$

Step-by-step explanation:

The revenue flows has the following function:

$f(t) = 3000\cdot (1+5\cdot t)$

The total revenue obtained in the first seven years is obtained by using the concept of definite integral:

$F = 3000\int\limits^7_0 {(1+5\cdot t)} \, dt$

$F = 3000\cdot t|_{0}^{7}+7500\cdot t^{2}|_{0}^{7}$

$F = 21000+367500$

$F = 388500\,dollars$