A company produces cars in Atlanta, Boston, Chicago, and Los Angeles. The cars are then shipped to warehouses in Memphis, Milwaukee, New York City, Denver, and San Francisco. The number of cars available at each plant is given in Table.
Plant
Cars Available
Atlanta
5,000
Boston
6,000
Chicago
4,000
L.A.
3,000
Each warehouse needs to have available the number of cars given in Table.
Warehouse
Cars Required
Memphis
Milwaukee
N.Y.
Denver
2,000
San Francisco
The distance (in miles) between the cities is given in Table.
S.F.
371
761
841
1,398
2,496
1,296
1,050
206
1,949
3,095
530
87
802
996
2,142
1,817
2,012
2,786
1,059
379
a Assuming that the cost (in dollars) of shipping a car equals the distance between two cities, determine an optimal shipping schedule.
b Assuming that the cost (in dollars) of shipping a car equals the square root of the distance between two cities, determine an optimal shipping schedule.
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