The annual fixed costs for insulating a certain steam pipe installation can be expressed as Cf = 30S + 40 dollar per year where S is thickness of insulation in inches, and the annual cost of energy lost (annual direct costs) from the installation may be expressed in terms of the insulation thickness as Cp = 100/S $ per year. Determine the optimum annual insulation thickness cost.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.21P
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The annual fixed costs for insulating a certain steam pipe installation can be expressed as Cf = 30S + 40 dollar per year where S is thickness of insulation in inches, and the annual cost of energy lost (annual direct costs) from the installation may be expressed in terms of the insulation thickness as Cp = 100/S $ per year. Determine the optimum annual insulation thickness cost.
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