MEK Products has two factories located in Minneapolis and Detroit with weekly production capacities of $300$ and $250$ units, respectively. Four customer centers in the cities of Cleveland, Dayton, Louisville, and Peoria have weekly product requirements of $100,130,140,$ and $160$ units, respectively. Unit shipping costs for each factory$-$customer center pair are shown in the table below, along with the other data for the problem. MEK seeks minimizes the total weekly shipping cost while satisfying all factory capacity and customer requirements.