As machines get older, the cost of maintaining them tends to increase. Suppose for a particular machine, the rateat which the maintenance cost is increasing is approximated by the functionC'(t) = (20t + 28) /2.5t? + 7t, for 0 < t < 15,where C is the maintenance cost in dollars and t is the number of years since the purchase. Thecompanywillsell or scrap the machine in 15 years and buy a new one if the cost to maintain it in its last year of service isprojected to exceed $8,000. Round monetary answers to the nearest cent.a. What is the total expected cost to maintain this machine over its first 3 years of service?2$b. What is the total expected cost to maintain this machine in its last year of service?$Should the company keep or scrap the machine?Select an answer vc. How many times more expensive is it to maintain the machine in its last year of service than its first yearof service? Round to 1 decimal place.timesGet Help:еВookLicense

Answered: C' (t) = (20t + 28) /2.5t² + 7t, for 0

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C' (t) = (20t + 28) /2.5t² + 7t, for 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 8CR

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Question

As machines get older, the cost of maintaining them tends to increase. Suppose for a particular machine, the rate
at which the maintenance cost is increasing is approximated by the function
C'(t) = (20t + 28) /2.5t? + 7t, for 0 < t < 15,
where C is the maintenance cost in dollars and t is the number of years since the purchase. The
company
will
sell or scrap the machine in 15 years and buy a new one if the cost to maintain it in its last year of service is
projected to exceed $8,000. Round monetary answers to the nearest cent.
a. What is the total expected cost to maintain this machine over its first 3 years of service?
2$
b. What is the total expected cost to maintain this machine in its last year of service?
$
Should the company keep or scrap the machine?
Select an answer v
c. How many times more expensive is it to maintain the machine in its last year of service than its first year
of service? Round to 1 decimal place.
times
Get Help:
еВook
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