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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

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.

Aug 10 2020 View more View Less