QSO 520Module FiveHomework Questions

QSO 520Module FiveHomework Questions

  1. (P5-18)A food distribution company ships fresh spinach from its four packing plants to large East-Coast cities. The shipping costs per crate and the supply and demand are shown in the table below.
  1. Formulate a model that will permit the company to meet its demand at the lowest possible cost.
  • The company wishes to spread out the source for each of its markets to the maximum extent possible. To accomplish this, it will accept a 5% increase in its total transportation cost from part (a). What is the new transportation plan, and what is the new cost?
MARKETS
Packing Plants Atlanta Boston Charlestown Dover Supply
Eaglestown $6.00 $7.00 $7.50 $7.50 8,000
Farrier $5.50 $5.50 $4.00 $7.00 10,000
Guyton $6.00 $5.00 $6.50 $7.00 5,000
Hayesville $7.00 $7.50 $8.50 $6.50 9,000
Demand 8,000 9,000 10,000 5,000  
  • (P5-32) A security firm needs to connect alarm systems to the firm’s main control site from five potential trouble locations. Since the systems must be fail-safe, the cables must be run in special pipes. These pipes are very expensive but large enough to simultaneously handle five cables (the maximum that might be needed). Use the minimal-spanning tree model to find the minimum total length of pipes needed to connect the locations shown in Figure 5.22. Node 6 represents the main control site.

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