GATE ME 2016 Set 1 — Question 65
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Industrial Engineering → Operations Research → LP (Graphical & Simplex)
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Question
Maximize
subject toThe above linear programming problem has
subject toThe above linear programming problem has
Correct answer
(B) unbounded solution
Solution
To determine the nature of the solution, we analyze the feasible region defined by the constraints:
1.
2.
3.
Plotting these constraints in the plane:- The first constraint defines a region above the line passing through and .
- The second constraint defines a region above the line passing through and .
- Combined with , the feasible region is in the first quadrant and is bounded below by these lines but is open towards the top and right.
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