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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) = (20t + 36) /2.5t + 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) = (20t + 36) /2.5t + 9t, for 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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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) (20t + 36) /2.5t + 9t, for 0 <t< 10, where C is the maintenance cost in dollars and t is the number of vears since the purchase. The company will sell or scrap the machine in 10 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $4,000, 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? b. What is the total expected cost to maintain this machine in its last year Eservice? 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 vear of service? Round to 1 decimal place. 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) (20t + 36) /2.5t + 9t, for 0 <t< 10, where C is the maintenance cost in dollars and t is the number of vears since the purchase. The company will sell or scrap the machine in 10 years and buy a new one if the cost to maintain it in its last year of service is projected to exceed $4,000, 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? b. What is the total expected cost to maintain this machine in its last year Eservice? 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 vear of service? Round to 1 decimal place. times
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