Question:

The constraints of the L.P. problem given by x₁+2x₂\le2000, x₁+x₂\le1500 and x₂\le600, x₁,x₂\ge0, which of the following points does not lie in the positive bounded region?

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Always check all inequalities for feasibility.
Updated On: Mar 18, 2026
  • (1000,0)
  • (0,500)
  • (2,0)
  • (2000,0)
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The Correct Option is D

Solution and Explanation


Step 1: Test each point.
Substitute in constraints.
Step 2: Violation.
Point (2000,0) violates x₁+x₂\le1500.
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