Consider the word problem stated above again, but this time with some actual values. XYZ Inc. has two factories with weekly production rates of 40 and 20 widgets. These widgets must be shipped to three warehouses that have a demand of 25, 10, and 25 units. The cost to ship between each location is known (see the grid below). Which factory should produce and ship how many widgets to which warehouses to meet the demand at each location with minimal cost?

Find the NWCM, LCM, and VAM.

($cost) Warehouse 1 Warehouse 2 Warehouse 3 Supply Factory A 550 300 400 40 Factory B 350 300 100 20 Demand 25 10 25