Solved: Reorder Costs The ordering and transportation cost for components used in a

Chapter 4, Problem 30

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Reorder Costs The ordering and transportation cost for components used in a manufacturing process is approximated by

\(C(x)=10\left(\frac{1}{x}+\frac{x}{x+3}\right)\) 

where C is measured in thousands of dollars and x is the order size in hundreds.

(a) Verify that C(3) =  C(6).

(b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (3, 6). Find that order size.

Text Transcription:

C(x)=10(1/x+x/x+3)