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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) = (9t + 27) /1.5t2 + 9t for 0

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) = (9t + 27) /1.5t2 + 9t for 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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) = (9t + 27) /1.5t2 + 9t 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 $3, 250. Round all answers to the nearest cent. a. What is the total expected cost to maintain this machine over its first 2 years of service? $ 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 your answer to the nearest tenth. times
Transcribed Image Text: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) = (9t + 27) /1.5t2 + 9t 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 $3, 250. Round all answers to the nearest cent. a. What is the total expected cost to maintain this machine over its first 2 years of service? $ 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 your answer to the nearest tenth. times
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