Question

Example 3.15
The price of a machine is 6,40,000 if the
rate of cost saving is represented by the function
f(t) = 20,000 t. Find out the number of years
required to recoup the cost of the function.​

Answer 1

Step-by-step explanation:

The price of a machine is 6,40,000 if the rate of cost saving is represented by the function f(t) = 20,000 t. Find out the number of years required to recoup the cost of the function.

Solution:

Saving Cost          S(t) = ∫t0 20000t dt

= 10000 t2

To recoup the total price,

10000 t2 = 640000

t2 = 64

t = 8

When t = 8 years, one can recoup the price.