Question: Question #3 Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x1+5x2 Subject to: X155

Question #3 Consider the following LP model and

Question #3 Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x1+5x2 Subject to: X155 ................ (1) 2X1+x2512...............(2) X1+2x2512.............(3) X1, X220................ .(4) 12 11 10 9 8 7 B 6 5 C 4 2:44+543 3 D 2 2 1 E 5 6 1 8 9 10 11 12 a) What is the optimal solution X1, X2 and z? b) Determine the optimality range of the objective function coefficient ci. c) Determine the feasibility range of the right-hand side for constraint 1, 2 and 3. d) How many basic feasible solutions in this problem? e) Is there any binding constraint(s)? f) Dose any constraint has a slack? which one and by how much? g) Dose any constraint has a surplus? which one and by how much

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