Question: QUESTION 35 Consider the network below. Formulate the LP for finding the shortest path from node 1 to node 7. 2. + 10 8 w

QUESTION 35 Consider the network below. Formulate the LP for finding the shortest path from node 1 to node 7. 2. + 10 8 w 12 9 Answer Questions 35-39 based on this information What is the correct decision variable definition? O A. Xo the total number of arcs taken from node i to node . Xy 1, the road from node i to node jis taken o, the road from node i to node is not taken OC. Xo - Amount flowing through the arc from node i to node OD.Xy - the maximum flow that can be shipped from node i to node 7 QUESTION 36 What is the flow conservation constraint for the destination node? O A. -X47 - X57-X67 = -1 O B.6X47 +4X57 + 3X67 = -1 OC. X12 + X13 = 1 OD.-6X47 - 4X57 - 3X67 - - 13 QUESTION 37 What is the flow conservation constraint for the origin node? O A. X12 + X13 = -1 OB. - X47 - X57 - X67= -1 O C. 10X12 + 12X13 = 22 O D.X12 + X13 = 1 QUESTION 38 What is the flow of conservation constraint written for node 5? O A. -X25 - X35 - X45+X52 + X53 +X54 +X57 = -1 O B.X25+X35 + X45+X52+X53 +X54 +X57 = 0 O C. -X25 -X35 - X45+X52 +X53 +X54 + X57 = 1 OD.-X25 - X35-X45+X52 +X53 +X54 +X57 = 0 QUESTION 39 What is the objective function? O A Min X12+ X13+ X24 + X25+X35 + X36+X 42 + X45+X47+ Xs2*X53+X54 + X57+ X63 + X67 O B. Min 10X12+12X13+ 4X24 +8X25 +7X35 + 9X36 + 4X 42 +3X45+ 6X47+8X32 +7X53 + 3X34 + 4X579X63 +3X67 OC. Max X12X13 + X34+ X25 + X35 + X36X 42X45 + X47+X52X53 +X54 +X57+X63 + X67 OD. Max 10X12 + 12X13 + 4X24 +8X25 + 7X359836+4X 42 + 3X45+6X47+8X52 +7X53 +3X54 +4X579X63 +3X67

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