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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
Which of the following statements is correct?
  • A
    Every $\text{LPP}$ admits an optimal solution
  • B
    A $\text{LPP}$ admits unique optimal solution
  • ✓
    If a $\text{LPP}$ admits two optimal solution it has an infinite number of optimal solutions
  • D
    The set of all feasible solutions of a $\text{LPP}$ is not a converse set
✓

Answer

Correct option: C.
If a $\text{LPP}$ admits two optimal solution it has an infinite number of optimal solutions
Optimal solution of $\text{LPP}$ has three types.
  1. Unique
  2. Infinite
  3. Does not exist.
Hence, it has infinite solution if it admits two optimal solution.

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