Question: The ordering and transportation cost C for components used in a manufacturing process is approximated by where C is measured in thousands of dollars and

The ordering and transportation cost C for components used in a manufacturing process is approximated by C(x): = 10 + X x + 3,

where C is measured in thousands of dollars and 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.

C(x): = 10 + X x + 3,

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