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Linear Programming — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSLinear Programming1 Mark
Question
Mark the wrong statement:
  1. The primal and dual have equal number of variables.
  2. The shadow price indicates the change in the value of the objective function, per unit increase in the value of the RHS.
  3. The shadow price of a non - binding constraint is always equal to zero.
  4. The information about shadow price of a constraint is important since it may be possible to purchase or, otherwise, acquire additional units of the concerned resource.
✓

Answer

  1. The primal and dual have equal number of variables.
Solution:
The number of variables in dual is equal to the number of constraints in the primal and the number of variables in primal is equal to the number of constraints in the dual.
Therefore, the primal and dual doesnt have equal number of variables.

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