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QSO 520Module FiveHomework Questions
- (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.
- 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.
