All Courses
Get the App Signup / Login
Sign in Open App
Mechanical Engineering Exam  >  Mechanical Engineering Notes  >  Industrial Engineering  >  GATE Past Year Questions: Linear Programming

GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering PDF Download

Question for GATE Past Year Questions: Linear Programming
Try yourself:The manufacturer can make a maximum profit of  Rs.

[2011]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A company produces two types of toys : P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only.The company makes a profit of Rs. 3 and Rs. 5 on type P and Q respectively. For maximization​of profits, the daily production quantities of P and Q toys should respectively be

[2004]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself: Simplex method of solving linear programming problem uses

[2010]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:The dual for the LP in Q. 21 is

[2008]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:After introducing slack variables s and t, the initial basic feasible solution is represented by the table below (basic variables are s = 6 and t = 6, and the objective function value is 0).
GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering
After some simplex iterations, the following table is obtained
GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering
From this, one can conclude that

[2008]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:For the standard transportation linear program with m sources and n destinations and total supply equaling total demand, an optimal solution (lowest cost) with the smallest number of non-zero xij values (amounts from source i to destination j) is desired. The best upper bound for this number is

[2008]

 

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:For the linear programming problem:
Maximize z = 3x1 + 2x2
Subject to –2x1 + 3x2 < 9x1 – 5x2 > – 20x1, x2 > 0
The above problem has

[2016]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:Maximize z = 15x1 + 20x2
Subject to 12x1 + 4x2 >  36
12x1 + 6x2 > 24 x1,
x2 > 0
The above linear programming problem has
View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A linear programming problem is shown below:
Maximise 3x + 7y
Subjeot to 3x + 7y < 10
4x + 6y < 8 x, y > 0

[2013]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:The manufacturer can make a maximum profit of  Rs.

[2011]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:One unit of product P1 requires 3 kg of resource R1 and 1 kg resource R2. One unit of product P2 requires 2 kg of resource R1 and 2 kg of resource R2. The profits per unit by selling product P1 and P2 and Rs. 12000 and Rs 3000 respectively. The manufacturer has 90 kg of resource R1, and 100 kg of resource R2.

The unit worth of resource R2, i.e. dual price of resource R2 in Rs per kg is

[2011]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:Consider the following Linear Programming Problem (LPP):
Maximize z = 3x1 + 2x2,
Subject to x1 < 4 x2 < = 6
3x1 + 2x2 < 18
x1 > 0, x2 > 0

[2009]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A firm is required to procure three items (P, Q, and R). The prices quoted for these items (in Rs.) by suppliers S1,  S2 and S3 are given in table. The management policy requires that each item has to be supplied by only one supplier and one supplier supply only one item.The minimum total cost (in Rs.) of procurement to the firm is

[2006]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are

[2005]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:If an additional constraint X1 + X2 < 5 is added, the optimal solution is

[2005]

 

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are

[2005]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A component can be produced by any of the four processes, I, II, III and IV. Process I has fixed cost of Rs. 20 and variable cost of Rs. 3 per piece.Process II has a fixed cost of Rs. 50 and variable cost of Rs. 1 per piece. Process III has a fixed cost of Rs. 40.00 and variable cost of Rs. 2 per piece. Process IV has fixed cost of Rs. 10 and Variable cost Rs. 4 per piece. If company wishes to produce 100 pieces of the component, from economic point of view it should choose

[2005 : 2 Marks]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:A manufacturer produces two types of products, 1 and 2, at production levels of x1 and x2 respectively. The profit is given is 2x1 + 5x2. The production constraints are:
x1 + 3x2 < 40
3x1 + x2 < 24
x1 + x2 < 10
x1 > 0 x2 > 0
The maximum profit which can meet the constraints is

[2003]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:If at the optimum in a linear programming problem, a dual variable corresponding to a particular primal constraint is zero, then it means that

[1996]

View Solution

Question for GATE Past Year Questions: Linear Programming
Try yourself:In an assembly line for assembling toys, five workers are assigned tasks which take times of 10, 8, 6, 9 and 10 minutes respectively. The balance delay for line is

[1996]

View Solution

The document GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering is a part of the Mechanical Engineering Course Industrial Engineering.
All you need of Mechanical Engineering at this link: Mechanical Engineering
30 videos|40 docs|30 tests
Join Course for Free

Top Courses for Mechanical Engineering

FAQs on GATE Past Year Questions: Linear Programming - Industrial Engineering - Mechanical Engineering

1. What is linear programming in mechanical engineering?
Ans. Linear programming is a mathematical technique used in mechanical engineering to optimize a system with linear constraints. It involves formulating an objective function and a set of constraints, and finding the values that maximize or minimize the objective function while satisfying the constraints.
2. How is linear programming used in mechanical engineering design?
Ans. Linear programming is used in mechanical engineering design to optimize various parameters of a system. It helps in determining the optimal design parameters, such as dimensions, material properties, and operating conditions, by considering multiple constraints and objectives, such as cost minimization, weight reduction, or performance improvement.
3. What are the advantages of using linear programming in mechanical engineering?
Ans. Linear programming offers several advantages in mechanical engineering. It allows engineers to make informed decisions by considering multiple constraints and objectives simultaneously. It helps in optimizing system design, resource allocation, and scheduling. Additionally, it provides a quantitative and mathematical approach to problem-solving, leading to efficient and effective solutions.
4. Can linear programming be used for non-linear problems in mechanical engineering?
Ans. No, linear programming is specifically designed for solving linear optimization problems. It assumes that the relationship between variables is linear, and the objective function and constraints are linear equations or inequalities. For non-linear problems in mechanical engineering, other optimization techniques, such as non-linear programming or evolutionary algorithms, are more appropriate.
5. What are some real-world applications of linear programming in mechanical engineering?
Ans. Linear programming finds various applications in mechanical engineering, including production planning, facility layout design, inventory management, supply chain optimization, and resource allocation. It is also used in vehicle routing, project scheduling, and production line balancing. These applications help in improving efficiency, reducing costs, and optimizing the overall performance of mechanical systems.
Related Exams
About this Document
4.63/5 Rating
Nov 15, 2024 Last updated
Document Description: GATE Past Year Questions: Linear Programming for Mechanical Engineering 2024 is part of Industrial Engineering preparation. The notes and questions for GATE Past Year Questions: Linear Programming have been prepared according to the Mechanical Engineering exam syllabus. Information about GATE Past Year Questions: Linear Programming covers topics like and GATE Past Year Questions: Linear Programming Example, for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for GATE Past Year Questions: Linear Programming.
Introduction of GATE Past Year Questions: Linear Programming in English is available as part of our Industrial Engineering for Mechanical Engineering & GATE Past Year Questions: Linear Programming in Hindi for Industrial Engineering course. Download more important topics related with notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Mechanical Engineering: GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering
Description
Full syllabus notes, lecture & questions for GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering - Mechanical Engineering | Plus excerises question with solution to help you revise complete syllabus for Industrial Engineering | Best notes, free PDF download
Information about GATE Past Year Questions: Linear Programming
In this doc you can find the meaning of GATE Past Year Questions: Linear Programming defined & explained in the simplest way possible. Besides explaining types of GATE Past Year Questions: Linear Programming theory, EduRev gives you an ample number of questions to practice GATE Past Year Questions: Linear Programming tests, examples and also practice Mechanical Engineering tests
30 videos|40 docs|30 tests
Join Course for Free
Download as PDF
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Extra Questions

,

shortcuts and tricks

,

ppt

,

Important questions

,

Semester Notes

,

Objective type Questions

,

Free

,

past year papers

,

GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering

,

pdf

,

Previous Year Questions with Solutions

,

practice quizzes

,

Viva Questions

,

study material

,

Exam

,

Summary

,

video lectures

,

mock tests for examination

,

GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering

,

GATE Past Year Questions: Linear Programming | Industrial Engineering - Mechanical Engineering

,

MCQs

,

Sample Paper

;
Additional Information about GATE Past Year Questions: Linear Programming for Mechanical Engineering Preparation

GATE Past Year Questions: Linear Programming Free PDF Download

The GATE Past Year Questions: Linear Programming is an invaluable resource that delves deep into the core of the Mechanical Engineering exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the GATE Past Year Questions: Linear Programming now and kickstart your journey towards success in the Mechanical Engineering exam.

Importance of GATE Past Year Questions: Linear Programming

The importance of GATE Past Year Questions: Linear Programming cannot be overstated, especially for Mechanical Engineering aspirants. This document holds the key to success in the Mechanical Engineering exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

GATE Past Year Questions: Linear Programming Notes

GATE Past Year Questions: Linear Programming Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to GATE Past Year Questions: Linear Programming. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, GATE Past Year Questions: Linear Programming Notes on EduRev are your ultimate resource for success.

GATE Past Year Questions: Linear Programming Mechanical Engineering

The "GATE Past Year Questions: Linear Programming Mechanical Engineering Questions" guide is a valuable resource for all aspiring students preparing for the Mechanical Engineering exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study GATE Past Year Questions: Linear Programming on the App

Students of Mechanical Engineering can study GATE Past Year Questions: Linear Programming alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the GATE Past Year Questions: Linear Programming, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of GATE Past Year Questions: Linear Programming is prepared as per the latest Mechanical Engineering syllabus.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup