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Model formulation

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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

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Solution Summary

Camel Trucking is assessed in terms of model formulation.

Solution Preview

The following table gives the cost of shipping from each of the four plans to each of the nine warehouses together with number available in the various plants and the number required at various warehouses.
Singleton Duce Tripoli Foura Quincy Six Gun ...

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