Question: Question 1 (3 points) Consider the network diagram given in the Figure below. Assume that the amount on each branch is the distance in miles

Question 1 (3 points) Consider the network diagram given in the Figure below. Assume that the amount on each branch is the distance in miles between the respective nodes. Also assume that it is not possible to travel from a node with a higher number to a node with a lower number. Formulate an objective function for this scenario using a linear programming model: 1) Min 6X12 + 9X13 +5X24 + 2X23 + 5X35 + 3X45 + 2X46 +4 X56 2) Max 6X12+9X13 +5X24 + 2X23 + 5X35 +3X45 + 2X46+ 4 X56 3) Min 6X12 + 9 X13 + 5X24 + 2X23 + 5X35 + 3X45 + 2X46 + 4 X560 4) Min X12+ X13 + X24 + X23 + X35 + X45+X46 +X56

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