1. (50 points) Assume a linear program with the following information: (a) (b) (c) (d) Maximize X: + X2 Subject to: X +

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1 50 Points Assume A Linear Program With The Following Information A B C D Maximize X X2 Subject To X 1 (51.05 KiB) Viewed 26 times

1. (50 points) Assume a linear program with the following information: (a) (b) (c) (d) Maximize X: + X2 Subject to: X + 2X2 27 2X1 + X2 25 X1 + 6X2 2 11 X + 1.5X s 10 Find out the feasible region, the solution, the ranges of optimality, and the dual prices. Interpret the dual prices. If the objective function coefficient of X, becomes 5, and the objective function coefficient of X, becomes 1.2. apply the 100% rule. Find the solution and the total of the objective function. If the objective function coefficient of X, becomes 0.8. and the objective function coefficient of Xz becomes 0.5, apply the 100% rule. Find the solution and the total of the objective function. The computer output provides the following information: Constraint lower limit current value upper limit 1 0 7 10.111 2 0 5 19.556 40 4. 11 Interpret these ranges. If the RHS of constraint # 3 becomes 20, and the RHS of constraint # 4 becomes 11. apply the 100% rule, find the new solution, and find the total of the objective function by two different methods. If the RHS of constraint # 1 becomes 7.6, and the RHS of constraint # 4 becomes 6, apply the 100% rule. What is your conclusion? If the RHS of constraint # 3 becomes 10.7, and the RHS of constraint # 4 becomes 105, apply the 100% rule, find the new solution, and find the total of the objective function by two different methods. 3 10 11 6.5 10 (e) (f)