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.
Plant / Warehouse Memphis Milwaukee N.Y. Denver San Fransisco Source Capacity Atlanta $371 $761 $841 $1,398 $2,496 5000 Boston $1,296 $1,050 $206 $1,949 $3,095 6000 Chicago $530 $87 $802 $996 $2,142 4000 L.A. $1,817 $2,012 $2,786 $1,059 $379 3000 Destination Demand 6000 4000 4000 2000 2000