A National Firm Has Beef Jerky Processing Facilities in Locations

Essay

A national firm has beef jerky processing facilities in Locations 1,2,3,and 4.They ship to central distributors (represented as A,B,C,and
D)handling four regions of the country.The per-unit shipping costs between each possible combination of locations are shown in the following table.

The processing facility locations are capable of monthly production (in tons)as follows:
Location 1: 600
Location 2: 350
Location 3: 475
Location 4: 850
The central distributors have firm commitments for the following quantities:
Distributor A: 650
Distributor B: 725
Distributor C: 400
Distributor D: 500
What is the lowest-cost shipping arrangement that can be made between the plant locations and distributors and what is the annual shipping cost?