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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 |
6,000 |
|
Milwaukee |
4,000 |
|
N.Y. |
4,000 |
|
Denver |
2,000 |
|
San Francisco |
2,000 |
The distance (in miles) between the cities is given in Table.
|
|
Memphis |
Milwaukee |
N.Y. |
Denver |
S.F. |
|
Atlanta |
371 |
761 |
841 |
1,398 |
2,496 |
|
Boston |
1,296 |
1,050 |
206 |
1,949 |
3,095 |
|
Chicago |
530 |
87 |
802 |
996 |
2,142 |
|
L.A. |
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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