Solve the following problems using Excel Solver or R Studio.   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 1. Each warehouse needs to have available the number of cars given in Table 2. The distance (in miles) between the cities is given in Table 3. Assuming that the cost (in dollars) of shipping a car equals the distance between two cities, determine an optimal shipping schedule.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Solve the following problems using Excel Solver or R Studio.

 

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 1. Each
warehouse needs to have available the number of cars given in Table 2. The distance (in miles) between the cities is given in
Table 3. Assuming that the cost (in dollars) of shipping a car equals the distance between two cities, determine an optimal
shipping schedule. 

TABLE 1
TABLE 2
Plant
Atlanta
Cars Available
5000
Cars Required
Warehouse
Memphis
Milwaukee
New York
6000
Boston
4000
6000
4000
Chicago
Los Angeles
4000
3000
Denver
2000
San Francisco
2000
TABLE 3
Memphis Milwaukee
New York Denver
San Francisco
Atlanta
371
1296
761
841
206
1398
1949
2496
3095
Boston
1050
Chicago
Los Angeles
530
87
802
996
2142
1817
2012
2786
1059
379
Transcribed Image Text:TABLE 1 TABLE 2 Plant Atlanta Cars Available 5000 Cars Required Warehouse Memphis Milwaukee New York 6000 Boston 4000 6000 4000 Chicago Los Angeles 4000 3000 Denver 2000 San Francisco 2000 TABLE 3 Memphis Milwaukee New York Denver San Francisco Atlanta 371 1296 761 841 206 1398 1949 2496 3095 Boston 1050 Chicago Los Angeles 530 87 802 996 2142 1817 2012 2786 1059 379
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