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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