Minimize Z = X1+2X2 Subject to -X1+X2 ? 15 2X1+X2 ? 90 X2 ? 30 And X1 ? 0, X2 ? 0 a.) Solve this graphically b.) Develop a table giving each of the CPF solutions and the corresponding defining equations, BF solutions, and non-basic variables.
(a) Solution using graphical method is as under
Optimal solution:
X1 = 15
X2 = 30
Objective value = 75
(b)
Tha table is following
X1 | X2 | Z | Min | Optimal Solution | |
Intersection of C1 and C3 | 15 | 30 | 75 | 1 | Optimal Solution |
Intersection of C2 and C3 | 30 | 30 | 90 | 2 | |
Intersection of C1 and C2 | 25 | 40 | 105 | 3 |
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