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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
In order for a linear programming problem to have a unique solution, the solution must exist.
  • A
    At the intersection of the nonnegativity constraints.
  • B
    At the intersection of a nonnegativity constraint and a resource constraint.
  • C
    At the intersection of the objective function and a constraint.
  • D
    At the intersection of two or more constraints.
✓

Answer

  1. At the intersection of two or more constraints.

Solution:

In order for a linear programming problem to have a unique solution, the solution must exist at the intersection of two or more constraints.

Then the problem becomes convex and has a single optimum (maximum or minimum).

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