Question: Some help with these please! QUESTION 31 Answer the following two questions based on the transshipment network given below. Observe that nodes 1, 2 and

Some help with these please! QUESTION 31 Answer

Some help with these please!

QUESTION 31 Answer the following two questions based on the transshipment network given below. Observe that nodes 1, 2 and 3 are supply nodes, 4 and 5 are transshipment nodes and finally, 6 and 7 are demand nodes. Numbers on the arcs represent the cost of shipping one unit along the arc. Decision variables are defined as follows: Xithe amount shipped from node i to node). 50001 6 H-600 9 400 2 6 12 8 7600 3000 3 10 Assume that you formulate this transshipment problem as an LP. Answer Questions 31-34 based on this information. What is the objective function? A. Min X16+x14+x15 + x24 + x2 + x32 + x 34+x35 + x46+x47+x56+x57 B. Max 3x16 +2x14 +3x15 +5x24 +6x25+2x32 + 8x 34 +10x35 +5x46 +9x47 +12x56+15x57 . Max X16+x14+x15 + x24 + x2 + x32 + x 34+x35 + x46+ 47+x56+x57 D. Min 3x16 + 2x14 +3x15 +5x24 +6x25+2x32 +8x34 + 10x35 +5x46 +9x47 + 12x56+15x57 E. Min 3x61 + 2x41 +3x51 +5x42 +6x52 +2x93 +8x 43 + 10x53 + 5x64 +9x74 + 12x65 +15x75 QUESTION 32 Formulate the conservation of flow constraint for node 1. A. 3x16+2x14 + 3x15 = 500 B.-X61-X41 - X51 = 500 C.X1653 X14 s2 X1553 D.X16+ x14 + x15 = 8 E. x16+x14 + x15 = 500 QUESTION 33 Formulate the conservation of flow constraint for node 5. A.X56 +x57 + x15 +x25 +x35 = 1200 B. 12x56+15x57- (2x15 + 6x25 +10x35) = 0 C.x56+x57 + x15 + x2 + x35=0 D.x56+x57-(x15+x25 +x35)=0 E. x56 +x57-(x15 +x25 + x35) = 12+15-2-6-5 QUESTION 34 Formulate the conservation of flow constraint for node 7. A 256-257- 600 B. -847- X57=-600 C. X56 59 X57 s 15 D. 12x56 + 15x37 = 600 E. 9x56+15x57 = 600

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