The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below, where C is measured in thousands of dollars and x is the order size in hundred. C(x) = 7 (²+3) (a) Verify that C(2) = C(15). C(2) = 6.3 C(15)= 6.3 (b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (2, 15). Find that order size. (Round your answer to the nearest whole number.) X components
The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below, where C is measured in thousands of dollars and x is the order size in hundred. C(x) = 7 (²+3) (a) Verify that C(2) = C(15). C(2) = 6.3 C(15)= 6.3 (b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (2, 15). Find that order size. (Round your answer to the nearest whole number.) X components
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 87E
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Transcribed Image Text:The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below, where C is measured in thousands of dollars and x is the order size in hundreds.
C(x) = 7 ( ¹ + x + 3)
х
(a) Verify that C(2) = C(15).
C(2) = 6.3
C(15) = 6.3
(b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (2, 15). Find that order size. (Round your answer to the nearest whole number.)
X components
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