Below are the transportation costs per unit ($/unit) for a specific product between two factories (i.e., supply points) and three warehouses (i.e., demand points):

To From Des Moines Kansas City St. Louis

Jefferson City 14 9 7

Omaha 8 10 5

The Jefferson City factory supplies 30 units, while the Omaha factory supplies 20 units over a given time period. The demand from the Des Moines, Kansas City, and St. Louis warehouses (during the same period) is for 25, 15, and 10 units, respectively.

Develop a mathematical model for this problem; be sure to define the variables in your model