Question: Problem 6-29 (Algorithmic) The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is 1 it must be

Problem 6-29 (Algorithmic) The north-southProblem 6-29 (Algorithmic) The north-south

Problem 6-29 (Algorithmic) The north-south highway system passing through Albany, New York, can accommodate the capacities shown. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". For negative values enter "minus" sign (-). 2 1 Flow capacity: 10,000 vehicles per hour 10 1 Entering Albany (north) Leaving Albany (south) Max 1 X61 s.t. Flow Out Flow In Node 1 1 X13 + 1 x14 - 0 Node 2 1X25 -1 X42 = Node 3 - -1 X43 0 1 x12 + 1 X24 + 1 X34 + 1 X42 + 1 X45 1 X54 + 1 X61 1 X36 1 X43 + 1 X45+ - -1 X61 -1 X12 + -1 X13 + -1 X14 + -1 X54 -1 X25 + -1 X36 + -1 X24 + - 1 x34 ..... Node 4 0 Node 5 1 x56 + -1 X45 = Node 6 -1 X45 + -1 X56 0 X12S 4 X13 S 7 X14 S X24 S 1 X25 S 6 X34 S 4 X36 S 3 X425 1 X43S 4 X45 S 1 X46 4 X54s 1 X56 S 10 Xij > 0 for all i and j Can the highway system accommodate a north-south flow of 14,000 vehicles per hour? Balerina Maximum flow of vehicles per hour =

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