The Ordering and Transportation Cost C for the Components Used $C = 160 \left( \frac { 280 } { x ^ { 2 } } + \frac { x } { x + 40 } \right) , x \geq 1$

question 145

Multiple Choice

The ordering and transportation cost C for the components used in manufacturing a product is $C = 160 \left( \frac { 280 } { x ^ { 2 } } + \frac { x } { x + 40 } \right) , x \geq 1$ where $C$ is measured in thousands of dollars and $x$ is the order size in hundreds. Find the rate of change of $C$ with respect to $x$ for $x = 24$ . Round your answer to two decimal places.

• A) \(- 6.44\) thousand dollars per hundred
• B) \(8.04\) thousand dollars per hundred
• C) \(3.28\) thousand dollars per hundred
• D) \(- 4.92\) thousand dollars per hundred
• E) \(- 7.96\) thousand dollars per hundred

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