What it does

Simplex finds the best choice when there are limits, like time, money, or materials.

Optimization: Finding the best result • Constraint: A strict rule

How it works

  • Write the goal, such as “make the most profit.”
  • Write the limits, such as “only 8 hours available.”
  • Check corner choices until it finds the best one.

Uses & Applications

  • A factory can choose how many of each product to make.
  • A delivery team can plan with limited trucks and time.
  • A school cafeteria can plan meals with a budget.
In short

Simplex optimizes an objective while following rules.

Try it yourself

Choose the best mix with limited space

Imagine making two products, X and Y. Each X earns 3 points; each Y earns 2. You have a total limit and a separate X limit.

Your turn

Change one setting at a time. Reset example puts everything back.

Pivot toward a better feasible solution

Step 1
Why this happens

Look closer at the numbers
Numbers used in this example