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Question 1[10+10+20+10pts] : Consider the following Linear Programming Problem: Maxz=2x1+x2Subjectto:4x1+x22x1+x21x10,x20 i List all the Basic solutions and determine all Basic Feasible Solutions. ii Graph the

image text in transcribed Question 1[10+10+20+10pts] : Consider the following Linear Programming Problem: Maxz=2x1+x2Subjectto:4x1+x22x1+x21x10,x20 i List all the Basic solutions and determine all Basic Feasible Solutions. ii Graph the feasible region of this LP and label all Basic and Basic Feasible solution on it. iii Solve the LP using the Simplex Method. iv Determine the path taken by the Simplex Method on the graph

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