Dubois Corporation has four outlets across the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the following number of products (in 1000s) to be needed at each location. Boston 80
Dallas 90
Los Angeles 70
St. Paul 110
Dubois has two warehouses located in St. Louis and Pittsburgh. Dubois has three plants capable of producing the product. The plants and production capabilities are as follows:
Denver 100
Atlanta 100
Chicago 150
Transportation costs are, as follows:
To: St. Louis Pittsburgh
From Denver 5 8
Atlanta 4 5
Chicago 3 4
To: Boston Dallas Los Angeles St. Paul
From St. Louis 5 3 5 7
Pittsburgh 4 6 9 8
A. Develop a network representation of this problem.
B. Set up the objective function and the constraints.