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CMA Intermediate · Operations Management and Strategic Management · Optimum Allocation of Resources - LPP

A graphical LPP has constraints x + y <= 6 and x + y >= 10 with x, y >= 0. The correct conclusion is that the problem:

The two constraints contradict each other, since the sum of x and y cannot be both at most 6 and at least 10. There is no common region satisfying all constraints, so the problem has no feasible solution.

  1. AHas no feasible solutionCorrect
  2. BHas an unbounded solution
  3. CHas a unique optimum at the origin
  4. DHas multiple optimal solutions

Explanation

No point can have x+y at most 6 and at least 10 at the same time, so the constraints have no common region. Therefore the problem is infeasible.

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