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qestion provided in the link http://tinypic.com/view.php?pic=2mpfwnr&s=8#.Ve_JWEvJvwI i want the steps please with the flow in and flow out chart Solution The given figure cant be correct if x4 is also non negative. total flow in = 0 total flow out = 20+80+x4 total flow in = total flow out 0 = 20+ 80 +x4 x4 = -100 hence x4 should be negative or flow at C i.e 80 should be in to C instead of out as shown. Assuming that the 80 is flow in to C, I ll solve the rest of the problem. Total flow in = 80 total flow out = 20 +x4 so 20 +x4 = 80 x4 = 60 At A: 20 = x1 + x3 At B: x2 = x4 +x3 x2 = 60 +x3 x2 - x3 = 60 At C: 80 = x2 + x1 **************** x1+x2 =80 x1 +x3 = 20 x1 = 20 -x3 given all are non negative so x1>0 so 20- x3 >0 so maximum possible value of x3 is 20.

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