Dexter Office Supplies has $3$ manufacturing facilities located in Denver, Atlanta and Chicago

and ships to $4$ retail outlets located in Boston, Dallas, LA and St$.$ Paul.

The company wants to maximize profit of shipping one of its higher$-$volume products,

boxes of standard copy paper.

The profit per unit $($box of paper shipped$)$ for each of the delivery routes along with

limits on supply and demand for the coming month are provided in the table below.