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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

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