17 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 75.

Each warehouse needs to have available the number of cars given in Table 76.

The distance (in miles) between the cities is given in Table 77.

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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To (S) From Dallas Houston N.Y. Chicago L.A. 300 110 San Diego 420 100 Dallas 450 550 Houston - 470 530 TABLE 75 Plant Cars Available Atlanta 5,000 Boston 6,000 Chicago 4,000 L.A. 3,000 TABLE 76 Warehouse Cars Required Memphis 6,000 Milwaukee 4,000 N.Y. 4,000 Denver 2,000 San Francisco 2,000