   Chapter 4.2, Problem 34E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Reorder Costs The ordering and transportation cost C for components used in a manufacturing process is approximated by C ( x ) = 10 ( 1 x + x x + 3 ) where f 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 die interval (3,6).Find dial order size.

(a)

To determine

To prove: That the f(3)=f(6) for the given function C(x)=10(1x+xx+3).

Explanation

Given:

The ordering and transported is C(x)=10(1x+xx+3), where C is measured in thousands of dollars and x is the order size in hundreds.

Proof:

Substitute the x value,

For, x=3

C(x)=10(1x+xx+3)=10(13+33+3)=10(5

(b)

To determine

To calculate: The order size in the given interval (3,6) where the rate of change of cost must be zero.

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