GATE ME 2023 | Linear Programming Question 2 | Industrial Engineering

GATE ME 2023

MCQ (Single Correct Answer)

-0.33

Which one of the options given represents the feasible region of the linear programming model:

𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒 45𝑋₁ + 60𝑋₂

𝑋₁ ≤ 45

𝑋₂ ≤ 50

10𝑋₁ + 10𝑋₂ ≥ 600

25𝑋₁ + 5𝑋₂ ≤ 750

GATE ME 2023 Industrial Engineering - Linear Programming Question 1 English

Region P

Region Q

Region R

Region S

GATE ME 2022 Set 1

MCQ (Single Correct Answer)

-0.33

In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is

positive

negative

zero

infinity

GATE ME 2010

MCQ (Single Correct Answer)

-0.3

Simplex method of solving linear programming problem uses

all the points in the feasible region

only the corner points of the feasible region

intermediate points within the infeasible region

only the interior points in the feasible region.

GATE ME 1996

MCQ (Single Correct Answer)

-0.3

If at the optimum in a linear programming problem, a dual variable corresponding to a particular primal constraint is zero, then it means that

Right hand side of the primal constraint can be altered without affecting the optimum solution

Changing the right hand side of the primal constraint will disturb the optimum solution

The objective function is unbounded

The problem is degenerate

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