What is the extreme f(x)=(-1/100 (x)(x-300)) ?

The extreme f(x)=(-1/100 (x)(x-300)) is Maximum(150,225)

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extreme f(x)=(-1/100 (x)(x-300))

extreme points

f (x) = (- \frac{1}{100} (x) (x - 300))

Maximum (150, 225)

Solution steps

f^{'} (x) = - \frac{x - 150}{50}

Find intervals:

Increasing

: - \infty < x < 150,

Decreasing

: 150 < x < \infty

Plug

x = 150

into

- \frac{1}{100} x (x - 300) : 225

Maximum (150, 225)

What is the extreme f(x)=(-1/100 (x)(x-300)) ?
The extreme f(x)=(-1/100 (x)(x-300)) is Maximum(150,225)