To solve a problem using linear programming, you need three components:
At its core, Linear Programming is an optimization technique. It’s used to find the maximum (e.g., profit) or minimum (e.g., cost) value of a mathematical function, given a set of constraints.
Delivery companies use it to find the shortest, cheapest routes for thousands of packages.
Linear programming isn't just for mathematicians; it’s the backbone of modern industry:
These are your limits. They represent the "rules of the game," such as budget, labor hours, or storage space (e.g., Labor: 2A + 3B ≤ 40 hours ). Real-World Use Cases
Dietitians use it to create meal plans that meet all nutritional requirements (constraints) at the lowest possible cost (objective).