Algorithm to Minimize Number of Shipments from Multiple Warehouses

I have 10 warehouses across the US. Each of them may or may not have product A, B, C, D, E in stock. Someone orders all five items from my website.

I want to minimize the number of shipments I'm sending. How do I identify which items to ship from which warehouses?

For example, someone orders A, B, C, D and E.

• I have A and B (but no others) in New York.
• I have A and B and C (but no others) in Boston.
• I have D and E (but no others) in Chicago.

I'm trying to develop an algorithm that will create a shipment of three items from Boston and a shipment of 2 items from Chicago.

I don't want 2 items from New York, 1 from Boston and 2 from Chicago.

All the items are in one central database.