A company currently ships products from 5 plants to 4 warehouses. The company is considering the option of closing down one or more plants. This would increase distribution cost but perhaps lower overall cost. What plants, if any, should the company close?                 Transportation Costs (per 1000 products)     Plant 1 Plant 2 Plant 3 Plant 4 Plant 5     Warehouse 1 $4,000 $2,000 $3,000 $2,500 $4,500     Warehouse 2 $2,500 $2,600 $3,400 $3,000 $4,000     Warehouse 3 $1,200 $1,800 $2,600 $4,100 $3,000     Warehouse 4 $2,200 $2,600 $3,100 $3,700 $3,200                                                                     Demand from warehouses are:         Demand             Warehouse 1 15,000             Warehouse 2 18,000             Warehouse 3 14,000             Warehouse 4 20,000                                                                           Capacity of plants are:       Plant 1 Plant 2 Plant 3 Plant 4 Plant 5     Capacity 20,000 22,000 17,000 19,000 18,000                                                   Fixed operating costs for each plants:       Plant 1 Plant 2 Plant 3 Plant 4 Plant 5     Fixed Cost $12,000 $15,000 $17,000 $13,000 $16,000

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A company currently ships products from 5 plants to 4 warehouses. The company is considering the option of closing down one or more plants. This would increase distribution cost but perhaps lower overall cost. What plants, if any, should the company close?

               
Transportation Costs (per 1000 products)
    Plant 1 Plant 2 Plant 3 Plant 4 Plant 5  
  Warehouse 1 $4,000 $2,000 $3,000 $2,500 $4,500  
  Warehouse 2 $2,500 $2,600 $3,400 $3,000 $4,000  
  Warehouse 3 $1,200 $1,800 $2,600 $4,100 $3,000  
  Warehouse 4 $2,200 $2,600 $3,100 $3,700 $3,200  
               
               
               
               
  Demand from warehouses are:    
    Demand          
  Warehouse 1 15,000          
  Warehouse 2 18,000          
  Warehouse 3 14,000          
  Warehouse 4 20,000          
               
               
               
               
Capacity of plants are:  
    Plant 1 Plant 2 Plant 3 Plant 4 Plant 5  
  Capacity 20,000 22,000 17,000 19,000 18,000  
               
               
               
Fixed operating costs for each plants:  
    Plant 1 Plant 2 Plant 3 Plant 4 Plant 5  
  Fixed Cost $12,000 $15,000 $17,000 $13,000 $16,000  
               
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