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Lockhart. Created for Albert.io. Copyright 2016. All rights reserved.

Let $f'$ be the curve defined in the graph above and $A=19$, $B=8$, and $C=10$ be the respective areas for the regions labeled $A$, $B$, and $C$. Note $f(0)=13$.

Find the maximum value of $f(x)$ on the interval $[0, 8]$.

A

$21$

B

$32$

C

$34$

D

$50$

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