Skip to content
engineeringhulk logo

EngineeringHulk

Engineering Content

  • Home
  • General
  • Manufacturing Engineering
  • Automobile Engineering
  • Universities and Colleges
  • Thermodynamics
  • Contact us
  • Computer shortcut keys
    Computer shortcut keys Computer Engineering
  • Ultrasonic Machining: Diagram, Construction & Working Manufacturing Engineering
  • Rabi crops
    Rabi crop General
  • Partially Oriented Yarn (POY)
    Partially Oriented Yarn (POY) – Detailed Overview 2024 General
  • scholarship 2.0
    Scholarship 2.0: The Future of Academic Achievement and Funding Scholarships
  • 180 c to f
    What is 180 Degrees Celsius In Fahrenheit (180 C to F)? General
  • ASL Alphabet
    Learn the ASL Alphabet: A Comprehensive Guide General
  • Amyloidosis disease
    Amyloidosis: Causes, Risk Factors, diagnosis & treatment General
  • 50000 in Words
    50000 in Words General
  • Pythagorean Theorem.
    Pythagorean Theorem: Uses with Solved Examples General
  • industrial pumps
    The Versatility of Industrial Pumps in Modern Applications General
  • Intrusion Prevention Systems - (IPS)
    Intrusion Prevention Systems (IPS) – Detailed Overview General
  • engineering hulk
    Lead Acid Battery – Construction, Working, Advantages Automobile Engineering
  • NAHCO3
    NAHCO3 – Properties, Uses, and Benefits General
  • Baylor university
    Baylor University – Fees, Admission, Location, and More Universities and Colleges
Linear Programming Problems

Linear Programming Problems

Posted on January 16, 2023January 16, 2023 By Dr. Jennifer Russel 1 Comment on Linear Programming Problems

Table of Contents

  • What Is Linear Programming With Example?
    • What Is Linear Programming In Optimization Techniques In Detail?
  • Linear Programming Problems In Real Life
  • Some of the linear programming problems in real life are:
  • Linear Programming Problems And Solutions
    • Problem 1:
    • Solution 1:

Linear programming is a method of optimization that involves finding the maximum or minimum value of a linear objective function subject to a set of linear constraints.  It is used to solve problems in various fields, such as engineering, economics, and operations research.

Linear programming can be used to solve a wide range of problems, including finding the most cost-effective way to produce a certain product, scheduling workers and resources, and optimizing the usage of materials.

It is also used in resource allocation, portfolio selection, and other decision-making scenarios. This is done by finding the values of the variables that maximize or minimize the objective function. The technique is widely used in the fields of economics, operations research, and engineering.

What Is Linear Programming With Example?

Linear programming is a mathematical technique used to optimize a certain objective. It maximizes or minimizes a linear function subject to a set of linear constraints. It is used in a wide range of industries, including business, engineering, economics, and other disciplines.

For example, suppose a company has a limited budget and needs to choose the most cost-effective way to produce a certain number of products. The company could use linear programming to determine the best combination of resources (e.g., labor, materials, and machines) to produce the required number of products at the lowest cost.

Another example is when a company needs to schedule employees in an efficient manner. Linear programming could be used to determine the optimal number of employees needed to meet production demands while minimizing labor costs.

What Is Linear Programming In Optimization Techniques In Detail?

Linear programming (LP) is an optimization technique used to find the maximum or minimum value of a linear objective function subject to a set of linear constraints. LP can be used to solve a wide range of problems in operations research and management science, such as resource allocation, scheduling, capital budgeting, and portfolio optimization.

It is often used to solve problems with multiple objective functions and multiple constraints. In LP, the objective function and the constraints are expressed as linear equations or inequalities. The goal is to find the values of the decision variables that maximize (or minimize) the objective function while satisfying all the constraints.

Linear Programming Problems In Real Life

Linear programming works by creating a model of the problem that can be represented mathematically. It then solves the problem using linear equations and inequalities to determine the best combination of resources to achieve the desired outcome. The model is then adjusted to maximize the desired result.

For example, a company may use linear programming to determine the most cost-effective combination of labor and materials needed to produce a certain number of products. The company would input the cost of each input and the maximum amount of each input available, and the linear programming algorithm would determine the optimal combination of inputs to produce the desired number of products. 

Linear programming can also be used to solve problems in scheduling, resource allocation, and portfolio optimization. For example, a company may use linear programming to determine the best combination of employees and equipment needed to complete a project in the most efficient way or to optimize the return on an investment portfolio by selecting the best combination of investments with the highest expected returns and lowest risk. 

Linear programming is used in many industries, including manufacturing, transportation, logistics, finance, and healthcare. In healthcare, linear programming can be used to determine the best combination of resources (e.g., personnel, equipment, and medications) that will provide the most cost-effective and highest-quality care. 

Overall, linear programming can be used to identify the most efficient and cost-effective combination of resources to achieve the desired result.

Linear programming can also be used in logistics to determine the most efficient route for a vehicle to take in order to deliver goods to multiple locations. This can help minimize costs by reducing the distance traveled and the fuel used. 

In the medical field, linear programming can be used to optimize the delivery of healthcare services. For example, it can be used to determine the most efficient way to allocate resources, such as doctors, nurses, and medical equipment in order to provide the best possible care to patients.

Linear Programming Problems

Some of the linear programming problems in real life are:

1.Scheduling: Many businesses need to schedule workers and resources to maximize efficiency and profitability.

2.Network Design: Companies use linear programming to optimize network designs to minimize costs while meeting customer demands.

3.Production Planning: Companies use linear programming to plan production schedules to maximize profits while meeting customer demands.

4.Financial Planning: Companies use linear programming to plan financial investments to maximize returns while minimizing risk.

5.Transportation: Companies use linear programming to optimize transportation routes and schedules to minimize costs and maximize efficiency.

Linear Programming Problems

6.Facility Location: Companies use linear programming to identify optimal locations for facilities and warehouses to minimize costs and maximize efficiency.

Linear Programming Problems And Solutions

Linear programming (LP) is a method for finding the maximum value of a linear objective function subject to constraints on the values of the decision variables. It is used to solve optimization problems where the objective function and the constraints are all linear.

Problem 1:

Maximize 5x + 4y

Subject to:

2x + 3y ≤ 24

5x + y ≤ 21

x ≥ 0, y ≥ 0

Solution 1:

The objective function is 5x + 4y. The constraints are 2x + 3y ≤ 24 and 5x + y ≤ 21.

To solve this problem, we first need to graph the constraints in order to find the feasible region. The feasible region is the set of points that satisfy all of the constraints.

From the graph, we can see that the feasible region is the triangle bounded by the lines x = 0, y = 0, and 2x + 3y = 24.

The maximum value of the objective function occurs at the vertex of the triangle. In this case, the vertex is (8, 0). Plugging this into the objective function gives us a maximum value of 40. Therefore, the solution to this problem is x = 8, y = 0

Also, read Lattice and Recurrence Relation

General

Post navigation

Previous Post: Lattice and Recurrence Relation
Next Post: List of IIT Colleges with Admissions & Cutoffs

Related Posts

  • Satyendra Nath Bose
    Satyendra Nath Bose: The Father of Bose-Einstein Statistics General
  • Public work department
    PWD full form and all essential information General
  • Tetravalency
    Tetravalency: Exploring the Unique Properties of Carbon General
  • xxx
    Why You Should Never Use XXX Domains General
  • Ishan Uday scholarship
    Ishan Uday Scheme: Objectives, Eligibility, How to Apply General
  • thyristor
    Thyristor in power electronics General
  • Accuracy vs Precision
    Difference between Accuracy vs Precision General
  • Toughest Exam In India
    Toughest Exam In India General
  • Dell EMC Partners
    Dell EMC Partners: Powering Innovation and Transformation General
  • Biscuiti Englezesti
    Biscuiti Englezesti: English Biscuits for Better Digestion General
  • Distance formula
    Distance Formula – Details, Definition, & Derivation General
  • Bubble letters
    Bubble letters – Meaning, Characteristics, and Uses General
  • A level Mathematics tutor in Hong Kong (HK)
    How to find A level Mathematics tutor in Hong Kong (HK) General
  • Ana mercedes hoyos
    Ana Mercedes Hoyos – Death, Art, life, Awards General
  • nail ideas
    Trendy Nail Ideas: Discover the Perfect Look General

Comment (1) on “Linear Programming Problems”

  1. Pingback: Lattice and Recurrence Relation

Comments are closed.

Categories

  • Automobile Engineering (35)
    • Module 1 (13)
      • Clutch (3)
      • Propellar Shaft & Axle (2)
      • Transmission (8)
    • Module 2 (10)
      • Braking System (5)
      • Final Drive and Differential (2)
      • Steering System (3)
    • Module 3 (3)
      • Suspension System (1)
      • Wheels & Tyres (2)
    • Module 4 (6)
      • Automotive Electrical System (6)
    • Module 5 (1)
      • Body Engineering (1)
  • Computer Engineering (41)
  • Electrical Engineering (7)
  • Engineering and Machinery (1)
  • General (329)
  • Health & Wellness (2)
  • Healthcare (1)
  • Manufacturing Engineering (91)
  • News (3)
  • Renewable sources of Energy (27)
    • Energy from Biomass (5)
    • Geothermal Energy (6)
    • Solar Energy (1)
    • Wind Energy (3)
  • Scholarships (22)
  • Thermodynamics (17)
  • Universities and Colleges (26)
  • Advantages, disadvantages & application of geothermal energy
  • Magma Geothermal Energy Source
  • Prospects of Geothermal Energy in India
  • Analysis of Aerodynamic forces acting on windmill blades
  • Basic components of wind energy Turbine
  • Design Considerations of HAWTs and VAWTs
  • GEO-PRESSURIZED HOT DRY ROCK – Energy from Rocks
  • SOURCE OF GEOTHERMAL ENERGY
  • Hydrothermal Energy Sources/Resources
  • Biogas generation plants
  • Biomass conversion technologies Noted
  • Biomass Energy – Defenition, Benefits & Working
  • Filling a Biogas Digester for Starting
  • Constructional Detail of Biogas Generation Plant in 2024
  • BBA Aviation Course, Fees, Syllabus, Jobs & Scope
  • Top State Universities in Delhi: Ranking, Types, Fees
  • What is UGC (University Grants Commission) – Students Guide
  • Automobile Clutch: All the detailed information in 2024
  • Automobile Clutch Friction Materials – Students Guide
  • Sliding Mesh Gear Box – Construction and Working
  • Constant Mesh GearBox – Construction and Working
  • Synchromesh Gear Box
  • Overdrive in Automobile – Detailed Guide
  • Hydrodynamic Torque Converter
  • Troubleshooting and Remedies of the Transmission system
  • Propeller shafts and universal joints
  • Types of axles in Automobile Engineering
  • Types of Final Drive in Automobiles
  • Rear Differential – Construction, Working, Types & Features
  • Mechanical Brakes – Types, working, advantages & disadvantages
  • Hydraulic Brake System – Construction & Working
  • Brake Master Cylinder – Detailed Working Principle
  • Introduction to Antilock Braking System (ABS)
  • Requirements of Brake System in Automobiles
  • Steering Geometry in Automobile Engineering
  • What is Oversteer and Understeer in Automobile Engineering
  • Cornering power in Automobile
  • Suspension System in Automobile Engineering
  • Wheels and Tyres in Automobile Engineering
  • Starting system in Automobile Engineering
  • Bendix Drive in Automobile Engineering
  • Dynamo – Definition, Construction, & Working
  • Alternator in Automobile Engineering
  • Lead Acid Battery – Construction, Working, Advantages
  • Battery Charging – Methods, Advantages, & Disadvantages
  • Material Removal Techniques in Manufacturing Process
  • What is Computer Numerical Control (CNC)?
  • What is Direct Numerical Control (DNC)?
  • Numerical Control (NC) Procedure
  • Numerical Control (NC) Motion Control Systems
  • Mechanical properties of Metals
  • Heat-treatment of steel
  • what is Annealing? How it Works
  • What is the hot working and cold working of steel?
  • What are the Materials and Alloys used in Workshop?
  • MAT Entrance Exam 2022 – Everything you need
  • PES University Campus, Fees, Admission, Courses
  • SEBI Grade A Result 2022 – Direct PDF Download
  • Components of the internal combustion engine (IC Engine)
  • LIMITATIONS OF THE FIRST LAW OF THERMODYNAMICS
  • Law of Conservation of Energy: Statement with Explanation
  • Ultrasonic Machining: Diagram, Construction & Working
  • The vapor compression refrigeration cycle
  • A Refrigeration cycle operates between a condenser temperature of + 27
  • Discover the Different Types of Solar Panels 2023
  • Best courses after computer engineering
  • Gram seed – Rate, Production, Types, Harvesting
  • Types of ovules – Location, Components, Types, fun facts
  • Development of Dicot Embryo
  • Boiler Classification: Types, Components & Applications
  • Application of Zener diode – Advantages, Disadvantages
  • Role of Individuals in the Conservation of natural resources
  • Relationship between linear velocity and angular velocity
  • S.I unit of conductivity
  • Issues In the Design Of The Code Generator
  • Domains of AI (Artificial Intelligence)
  • Cymose Inflorescence
  • Top 10 Engineering Colleges in Hyderabad
  • Charlotte Engineering Early College
  • ISBM College of Engineering Pune
  • Tetravalency: Exploring the Unique Properties of Carbon
  • Dijkstra’s Algorithm – A Detailed Information
  • Microprogramming
  • Floyd Algorithm: Detailed Article 2023
  • Operating System (OS) Functions: Comprehensive Guide
  • Classifications Of DBMS (Database Management System)
  • Types of CSS (Cascading Style Sheet)
  • Diploma in Civil Engineering?
  • What is plain cement concrete (PCC) in foundation construction?
  • Toughest Exam In India
  • Basic School Teaching Course- BSTC
  • pstet – Punjab State Teacher Eligibility Test
  • National Institute of Technology- NIT
  • Intrusion Prevention Systems (IPS) – Detailed Overview
  • BSF Head Constable Ministerial Exam Syllabus

Recent Posts

  • Bioengineering: A Modern Fusion of Biology and Engineering
  • The Evolution of Metal Machining in Automotive Manufacturing
  • IQ Test for 1st Standard Students – Fun 15 Question Quiz
  • Check Engine Light Flashing: Causes, Risks, and Immediate Actions
  • The Role of WAN in Modern Network Infrastructure
  • Duleep Trophy:India’s Prestigious Domestic Cricket Tournament
  • Why Bank of America is Cancelling Accounts? Urgent Warning to Customers
  • The Significance of “5” in Science, Religion, and Beyond
  • Boosting Brand Engagement with AI-Generated Visuals
  • Nvidia Groot N1: AI-Powered Humanoid Revolution
  • Blood Moon Total Lunar Eclipse Tonight: March 14, 2025
  • Scopely: Mobile Gaming with Innovation and Strategy
  • Employers Can Offer These Wellness Benefits To Retain Happy Employees
  • Navigating the Complexities of Group Health Insurance: Key Insights for Employers
  • Why You Should Never Use XXX Domains
  • How E-Commerce Businesses Can Reduce Shipping Costs
  • The Revolutionary Material: Graphene
  • FilmyZilla: Download Latest Movies & TV Shows | Features, Risks & Alternatives
  • Samsung Galaxy S25 Ultra-Launch Date 22 January 11.30pm 2025
  • How to Improve Your Shipping Strategy with Technology
  • Sustainability as Strategy: Green Business Tactics for Long-Term Success
  • The Complete Guide To Royal Honey: Benefits, Uses & Considerations
  • Amlodipine: Uses, Benefits, and Side Effects
  • Metronidazole: Uses, Benefits, Side Effects, and More
  • 200+ Thought of the Day in English and Hindi in 2024
  • McMaster Carr: A must know marketplace
  • Stihl Chainsaw Reviews: Which Model is Right for You?
  • Don’t go for the XNXP Personality Type Test 2022
  • Mind-blowing Futuristic 10 Technical Careers of 2025
  • Discovering Online Gambling with Nagad88
  • The Versatility of Industrial Pumps in Modern Applications
  • Jeetwin Bangladesh – A Comprehensive Review
  • Navigating the Nexus: How Computer Engineering Powers Online Gambling Platforms
  • Data Annotations Tech Legit or Scam? Detailed Honest Review
  • Apple Vision Pro is the New Social Media Sensation
  • Best of the Best False Ceiling Designs for the Bedroom
  • Katana: The Sword of the Samurai
  • Discover the Potential of GPT66X: Revolutionizing AI Across Industries
  • Teltlk: Amazing Instant Cross-Language Chat App
  • Tyres Unveiled: A Comprehensive Guide to Enhancing Vehicle Performance
  • Toyota’s Ammonia Engine: A Sustainable Innovation
  • Understanding Bioengineering’s Role in Health
  • Amazon GPT55X: A Transformative Content Generation Tool
  • How to Flip a coin to win frequently
  • Google Cloud Next Agenda 2023-2024
  • Halal Shawarma: A Culinary Delight Rooted in Tradition
  • Extraordinary Mushroom Species Discovered: “Ape Mushroom”
  • Bedford Recycling: Pioneering a Greener Tomorrow
  • The God Particle: Unraveling the Secrets of the Universe
  • Kinkyness Test: Unraveling the Mysteries of Your Desires
  • Product Life Cycle
    Product Life Cycle: Stages, Strategies, and Importance Manufacturing Engineering
  • Our Dentist
    BDS Course in 2023 – Admission, Colleges, fees, subjects Renewable sources of Energy
  • Spring constant
    Spring constant – Definition, Unit, Formula & Applications Manufacturing Engineering
  • Try square
    Try square – Types, Grades, Accuracy, & Applications Manufacturing Engineering
  • What is a heterotroph
    What is a heterotroph? World of Organism Nutrition General
  • Types of fasteners
    Types of Fasteners – Detailed Classification Manufacturing Engineering
  • 10 Warning Signs of Mold Toxicity
    10 Warning Signs of Mold Toxicity to Your Body & Health General
  • Dell EMC Partners
    Dell EMC Partners: Powering Innovation and Transformation General
  • h3n2 virus
    H3N2 virus – Detailed important information General
  • Bedford Recycling
    Bedford Recycling: Pioneering a Greener Tomorrow General
  • How to buy Anesthesia Machines
    How to buy Anesthesia Machines – Step by Step General
  • 3d printing
    3D Printing: Exploring the Revolutionary Technology Manufacturing Engineering
  • Mechanical properties of metals
    Mechanical properties of Metals Manufacturing Engineering
  • Types of Chips in Metal Cutting
    Types of Chips in Metal Cutting Manufacturing Engineering
  • TunerCult
    TunerCult – Your One-Stop-Shop for Car Enthusiasts General

Privacy Policy

Copyright © 2025 EngineeringHulk.

Powered by PressBook News WordPress theme