General Appliance Corporation (GAC) produces refrigerators at three plants: Akron, Evansville, and Chicago.  They ship them to distribution centers in Cincinnati, Indianapolis, and Pittsburgh. The accounting, production, and marketing departments have provided the information in the table given below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. GAC’s supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand.     Cincinnati Indianapolis Pittsburgh Capacity Ackron $2.30 $2.50 $2.15 1200 Evansville $2.35 $1.65 $2.95 800 Chicago $1.70 $1.95 $2.99 500 Demand 500 1000 1000

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General Appliance Corporation (GAC) produces refrigerators at three plants: Akron, Evansville, and Chicago.  They ship them to distribution centers in Cincinnati, Indianapolis, and Pittsburgh. The accounting, production, and marketing departments have provided the information in the table given below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. GAC’s supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand.  

  Cincinnati Indianapolis Pittsburgh Capacity
Ackron $2.30 $2.50 $2.15 1200
Evansville $2.35 $1.65 $2.95 800
Chicago $1.70 $1.95 $2.99 500
Demand 500 1000 1000  
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