Linear Programming Made Simple: Graphical Method and Simplex Method Explained

PEACE EBIKA — Wed, 07 Jan 2026 16:41:33 +0000

Linear Programming (LP) is one of the most important topics in Optimization, Operations Research, Engineering, Data Science, and AI.
Yet, many students find it confusing — especially when they encounter constraints, corner points, feasible regions, and simplex tables.
In this article, I will explain Linear Programming Problems (LPP) using:

The Graphical Method (for intuition)
The Simplex Method (for larger problems)
👉 If you prefer video explanations, I also teach this step by step on my YouTube channel:
TechOnlinewithPeace:
Learn Here

What is a Linear Programming Problem (LPP)?
A Linear Programming Problem involves:

A linear objective function (to maximize or minimize)
A set of linear constraints
Non-negativity conditions
General form:
Maximize or Minimize

Graphical Method
The Graphical Method is used when there are two decision variables.
It helps students see what is happening instead of memorizing steps.

Key steps:

Convert constraints into equations
Plot them on a graph
Identify the feasible region
Determine the corner points
Evaluate the objective function at each corner point
Select the optimal value

Why the Graphical Method is important

Builds intuition
Helps you understand corner points
Shows why the optimal solution occurs at extreme points

🎥 Watch the full Graphical Method tutorial here:
Graphical Method

Simplex Method
The Simplex Method is an iterative algorithm used to solve Linear Programming Problems with multiple constraints.

Main idea:

Move from one corner point to another
Improve the objective function at each step
Stop when the optimal solution is reached

Key steps:

Convert the problem into standard form
Introduce slack variables
Construct the initial simplex tableau
Identify the pivot column and pivot row
Perform row operations
Interpret the final solution

🎥 Simplex Method (step-by-step) on YouTube:
Simplex Method

Top Online SideHustle Ideas You can start now to earn money

PEACE EBIKA — Fri, 08 Apr 2022 19:11:59 +0000

Beginning a side hustle is an incredible method for expanding your income, taking care of your obligation, put something aside for large buys. Be that as it may, observing the best side hustle in light of your abilities and experience can be a remarkable undertaking.

Side Hustle Ideas to start and earn moneyThe following are side hustle ideas you can start Immediately 😊👇👇👇
Monetise your skills: You can make money by monetising your skills. Skills like writing. teaching any course you know like Mathematics, English etc
By copying and pasting: You can make money by copying and pasting, to achieve this you need google news i.e where you get the information, then paste on Spinbot which will transform your written words into different words but the same meaning. Then you register with eating well which: will pay you for those articles you wrote.
Sell and Rent: This is another way to make money online by selling and renting used items online. Free platforms to use to generate traffic includes Facebook, Instagram, Twitter and other social media.
Partner with Smile.com.ng: You can partner with smile to make more money. I use this platform and it has helped me a lot. I generate traffics from Facebook and other social media. Watch the video above to know and don't forget to drop your comment.

DEV Community: PEACE EBIKA

Linear Programming Made Simple: Graphical Method and Simplex Method Explained

Top Online SideHustle Ideas You can start now to earn money