Introduction

Linear programming is a mathematical method that helps us make the best use of limited resources. It is like a tool we can use to figure out the most efficient way to do things.

In linear programming, we have a specific goal we want to achieve, like making the most profit or spending the least amount of money. We also have some restrictions or rules we have to follow. These rules are usually about how much we can use of each resource.

To solve a linear programming problem, we use math to find the best solution. We have variables that represent the things we want to figure out, like how many items to produce or how much to invest in different projects. These variables have to meet certain conditions called constraints, which are usually limits on how much we can use or produce.

The goal of linear programming is to find the values of these variables that give us the best outcome. We want to maximize our goal, like getting the most profit, while still obeying all the rules and restrictions.

To solve a linear programming problem, we set up an equation that represents our goal and write down all the constraints. Then we use special methods and algorithms to find the values of the variables that give us the optimal solution.

Linear programming is used in many areas, such as business, logistics, and planning. It helps us make decisions that save time, money, and resources by finding the best way to allocate and use what we have available.

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