Distribution of pharma

Problem Definition

The US Department of Energy conducts a series of experiments in two research facilities located in Hawkins (Atlanta) and Los Angeles. The department needs to supply these facilities with pharma products that are processed in two factories in Portland and Flint. The delivery costs are summarised in the following table:

Production plants	Research Facilities	Delivery costs
Portland	Los Angeles	€30
Portland	Hawkins	€40
Flint	Los Angeles	€60
Flint	Hawkins	€50

The supply and demand data is provided in the table below:

Supply	Available units	Demand	Required units
Portland	200	Los Angeles	300
Flint	600	Hawkins	400

Implement an MILP that determines how to supply the two research facilities at minimum cost.