STT 2820 A trauma center keeps ambulances at locations

Question
1. A trauma center keeps ambulances at locations throughout the east side of a city in an attempt
to minimize the response time in the event of an emergency. The times in minutes, from
ambulance locations to population centers are given in the table below.

Find the optimal assignment of ambulances to population centers that will minimize the total
emergency response time.
a) What is the total minimum response time of all ambulances to their assigned population
centers?
b) To what population center is the Site 1 ambulance location assigned to?
c) To what population center is the Site 2 ambulance location assigned to?
d) To what population center is the Site 3 ambulance location assigned to?
e) To what population center is the Site 4 ambulance location assigned to?
2. A food distribution company ships fresh spinach from its four packing plants (Eaglestown,
Farrier, Guyton, and Hayesville) to large East-coast cities (Atlanta, Boston, Charlestown, and
Dover). The shipping costs per crate, the supply and demand are shown in the table below.

Formulate a model that will permit the company to meet its demand ant the lowest cost
a) What is the total cost to meet the demands in the four markets?
b) How much product is shipped from Eaglestown to Atlanta?
c) How much product is shipped from Guyton to Boston?
d) Which of the possible paths (packing plant to market) have no product shipped along that
route?
The network shown below represents the major roads between Knoxville (node 1) and
Greensboro (node 14.) The values on the arcs represent the roads on which travel can occur in
both directions. Find the shortest route between the two cities.

a) What is the total distance that must be traveled?
b) How many routes are used?
c) What are the routes that are used?

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