Business problems solved with math and statistics.

• How much to buy for next month.
• How many people to schedule on Saturday.
• What price protects the margin without losing sales.

Nobody sees all the information. We know how to look.

Each possible decision is a point, and the height is the outcome: profit, cost, loss. The model is the pair of glasses that sees inside.

Statistics measures doubt. Optimization chooses the order.

A good forecast doesn't pin down one number. It gives the chance of each number — and chance is what purchasing, production and cash decisions are based on.

You can count the surplus. You only feel the shortage. If running short costs 4 times more than having extra, swapping the average for the right quantile cuts about 30% of the expected cost.

Staffing, routes, production sequences: choices with thousands of combinations and real-world rules. Optimization finds the one that costs least and respects them all.

You changed the price, the store layout, the sales script — and the number went up. A well-designed test tells you whether it was the change or chance, before you roll it out to the whole operation.