GATE 2012
March 30, 2024Question 16268 – UGC NET Dec-2020 and June-2021 Paper-2
March 30, 2024Duality
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Question 3
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Consider the primal problem:
Maximize z=5×1+12×2+4×3
Subject to x1+2×2+x3=10
2×1-x2+3×3=8
x1,x2,x3>=0
its dual problem is
Minimize w=10y1+8y2
Subject to y1+2y2>=5
2y1-y2>=12
y1+3y2>=4
Which of the following is correct?
Maximize z=5×1+12×2+4×3
Subject to x1+2×2+x3=10
2×1-x2+3×3=8
x1,x2,x3>=0
its dual problem is
Minimize w=10y1+8y2
Subject to y1+2y2>=5
2y1-y2>=12
y1+3y2>=4
Which of the following is correct?
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y1>=0, y2 unrestricted
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y1>=0,y2>=0
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y1 is unrestricted,y2>=0
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y1 is unrestricted,y2 restricted
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Correct Answer: A