Question

Minimize Z = X1+2X2 Subject to -X1+X2 ? 15 2X1+X2 ? 90 X2 ? 30 And...

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.

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Homework Answers

Answer #1

(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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