Pipeline fluid flows are indicated below. Determine the maximum flow from Node $1$ to Node $5.$

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From

Node

To

Node

Fluid

Flow

$1$

$2$

$300$

$2$

$1$

$0$

$1$

$3$

$0$

$3$

$1$

$150$

$1$

$4$

$200$

$4$

$1$

$200$

$1$

$5$

$100$

$5$

$1$

$100$

$2$

$4$

$200$

$4$

$2$

$200$

$3$

$4$

$250$

$4$

$3$

$300$

$3$

$5$

$300$

$5$

$3$

$250$

$4$

$5$

$100$

$5$

$4$

$0$

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Question $11$ options:

a$)$

$300$

b$)$

$400$

c$)$

$500$

d$)$

$550$

e$)$

$600$