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

GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Bearings Design of Brakes and Clutches Design of Spur Gears Fatigue Strength

Strength of Materials

Springs Pure Bending Stresses In Beams Simple Stress and Strain Complex Stresses Moment of Inertia Deflection of Beams Shear Force and Bending Moment Torsion Thin Cylinders Columns and Struts Strain Energy Method

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

Production Engineering

Metrology and Inspection Sheet Metal Forming Processes Welding Process Metal Forming Metal Cutting Advance Machine Tools Machining Casting

Industrial Engineering

Queuing Production Planning and Control Line Balancing Forecasting Linear Programming Assignment Pert and Cpm Inventory Control Transportation Scheduling

Turbo Machinery

Theory of Machines

Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel

Engineering Mathematics

Linear Algebra Vector Calculus Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Numerical Methods

Fluid Mechanics

Fluid Properties Boundary Layer Turbulent Flow Fluid Dynamics Laminar Flow Fluid Kinematics Fluid Statics

Thermodynamics

Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Calculation of Work and Heat Entropy and Irreversibility Rankine Cycle Availability Second Law of Thermodynamics

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability