Reference no: EM13965039

Camel Trucking has a long term shipping contract with Hopeless Ventures Inc. Hopeless produces industrial quality generators at four manufacturing plants in Easton, Westville, Northbrook, and Southburg. Output from the four plants is shipped to warehouses in Singleton, Duce, Tripoli, Foura, Quincy, Six Gun City, Savannah, and Ochoa. Weekly production capacity and shipping costs are shown in the tables below.

Use the current weekly demand shown in Table 3, find the cost minimizing routing of generators from the four plants to the nine warehouses. Your answer must include a model formulation and a shipping schedule, which includes a list of recommended shipments, cost of each shipment and total shipping cost.

Table 1: Weekly Production Capacity by Plant

	Production Capacity
Easton	1885
Westville	1675
Northbrook	2100
Southburg	2250

Table 2: Shipping Costs

	Singleton	Duce	Tripoli	Foura	Quincy	Six Gun City	Savannah	Ochoa	Nîmes
Easton	36	45	31	38	46	27	25	48	50
Westville	34	34	41	33	24	30	31	32	20
Northbrook	31	47	36	42	25	28	30	37	47
Southburg	44	31	27	27	31	39	46	43	23

Table 3: Current Weekly Demand

City	Demand
Singleton	828
Duce	668
Tripoli	287
Foura	512
Quincy	552
Six Gun City	457
Savannah	697
Ochoa	745
Nîmes	593