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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) = (12t+24)√1.5t2 + 6t, for 0 < t < 5, 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 5 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $500. 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? $ 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 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 W

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) = (12t+24)√1.5t2 + 6t, for 0 < t < 5, 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 5 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $500. 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? $ 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 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 W

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = (12t+24)√1.5t2 + 6t, for 0 < t < 5, 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 5 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $500. 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? 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 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 4
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) = (12t+24)√1.5t2 + 6t, for 0 < t < 5, 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 5 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $500. 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? 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 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 4
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