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  • It is possible for the objective function value of an LPP...
Multiple choice

It is possible for the objective function value of an LPP to be the same at two distinct extreme points.

  1. TRUE

  2. FALSE

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When the objective function is parallel to a binding constraint edge, multiple optimal solutions exist. All points on that edge (including both endpoints) yield the same optimal objective value.

Keep practicing — related questions

  • Optimum solution to an LPP always lies at least on the two vertices of the feasible region.
  • Consider the linear programme (LP) Max 4x + 6y Subject to 3x + 2y $\leq$ 6 2x + 3y $\leq$ 6 x, y $\leq$ 0 A...
  • An LPP is said to have feasible solution if it does not satisfy all the constraints of the problem.
  • For an LPP having " n " decision variables, there must be an equal number of constraints.
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  • Consider the linear programme (LP) Max 4x + 6y Subject to 3x + 2y $\leq$ 6 2x + 3y $\leq$ 6 x, y $\leq$ 0 A...
  • Solution of maximization LPP when permitted to be infinitely large is called unbounded.
  • An LPP, with all its constraints are of the type ≥, is said to be in standard form.
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