Cost of Producing Surfboards The total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is given by the following function. C(x)=-11x² + 500x + 110 where (0 ≤ x ≤ 15) (a) Find C'(x). C'(x) = (b) What is the rate of change of the total cost (in dollars) when the level of production is 11 surfboards a day? per surfboard

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Ex 2.6 Q12

Cost of Producing Surfboards The total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is given by the following function.
C(x) = -11x² + 500x + 110 where (0 ≤ x ≤ 15)
(a) Find C'(x).
C'(x) =
(b) What is the rate of change of the total cost (in dollars) when the level of production is 11 surfboards a day?
$
per surfboard
Transcribed Image Text:Cost of Producing Surfboards The total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is given by the following function. C(x) = -11x² + 500x + 110 where (0 ≤ x ≤ 15) (a) Find C'(x). C'(x) = (b) What is the rate of change of the total cost (in dollars) when the level of production is 11 surfboards a day? $ per surfboard
Expert Solution
Step 1

Note: d(xn)dx=nxn-1

The rate of change of the function f(x) means f'(x).

 

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