Minimize Z = X1 + 3X2 Subject to 2X1 + 2X2

Minimize Z = X₁ + 3X₂

Subject to 2X₁ + 2X₂ < 20

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–X₁ + X₂ > 0

X₂< 8

All decision variables > 0

ーーーーーーーーー1--+---+---+---STA (0, 0) |ノゾゃ--------r : 1 .. I | | : | | | | | Te.|-----------

1.The corner points for the feasible region are

a (0,0), (5,5), and (10,0)

b (2,8), (5,5), and (8,8)

c (0,0), (0,8), (2,8), and (5,5)

d (5,5), (8,8), and (10,0)

e None of the above

2.The value of the objective function at the optimum point is

a 32

b Infinity

c 20

d 26

e None of the above

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Expert Answer

1. The corner points for the feasible region are (0,0), (0,8), (2,8), and (5,5). The correct answer is c

2. The value of the objective function at the optimum point is 26. The correct answer is d

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