The Scottville "Mill" produces five different fabrics. Each fabric can be woven on one or more of the mill's 38 looms. The sales department has forecast demand for the next month. The demand data are shown in Table 1.0 below along with data on the selling price per yard, variable cost per yard, and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month.   The Mill has two types of looms: dobbie and regular. The dobbie looms are more versatile and can be used for all five fabrics. The regular looms can produce only three of the fabrics. The Mill has a total of 38 looms: 8 are dobbie and 30 are regular. The rate of production for each fabric on each type of loom is given in Table 1.1. The time to change over from producing one fabric to another is negligible and does not have to be considered.   The Scottsville Mill satisfies all demand with either its own fabric or fabric purchased from another mill. Fabrics that cannot be woven at Scottsville the Mill because of limited loom capacity will be purchased from another mill. The purchase price of each fabric is also shown in Table 1.0 Monthly Demand, Selling Price, Variable Cost, and Purchase Price Data for Scottsville Textile Mill Fabrics Table 1.0                                 Demand Selling  price Variable cost Purchase Price                   (Yards) ($/Yards) ($/Yard) ($/Yaeds)                 1 16,500 0.99 0.66 0.8                 2 22,000 0.86 0.55 0.7                 3 62,000 1.1 0.49 0.6                 4 7,500 1.24 0.51 0.7                 5 62,000 0.7 0.5 0.7               Table 1.1               Loom Production Rates for the Scottsville Textile Mill   Loom Rate (yards/hour)         Demand Dobbie Regular         1 4.63           2 4.63           3 5.23 5.23         4 5.23 5.23         5 4.17 4.17         Note Fabrics 1 and 2 can be manufactured only on the dobbie loom           Just formulate the case, using Linear Programming ( Decision Variables, Objective function, and constraints

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The Scottville "Mill" produces five different fabrics. Each fabric can be woven on one or more of the mill's 38 looms. The sales department has forecast demand for the next month. The demand data are shown in Table 1.0 below along with data on the selling price per yard, variable cost per yard, and purchase price per yard. The mill operates 24 hours a day and is scheduled for 30 days during the coming month.

 

The Mill has two types of looms: dobbie and regular. The dobbie looms are more versatile and can be used for all five fabrics. The regular looms can produce only three of the fabrics. The Mill has a total of

38 looms: 8 are dobbie and 30 are regular. The rate of production for each fabric on each type of loom is given in Table 1.1. The time to change over from producing one fabric to another is negligible and does not have to be considered.

 

The Scottsville Mill satisfies all demand with either its own fabric or fabric purchased from another mill. Fabrics that cannot be woven at Scottsville the Mill because of limited loom capacity will be purchased from another mill. The purchase price of each fabric is also shown in Table 1.0

Monthly Demand, Selling Price, Variable Cost, and Purchase Price Data for Scottsville Textile Mill Fabrics
Table 1.0                        
   
    Demand Selling  price Variable cost Purchase Price              
    (Yards) ($/Yards) ($/Yard) ($/Yaeds)              
  1 16,500 0.99 0.66 0.8              
  2 22,000 0.86 0.55 0.7              
  3 62,000 1.1 0.49 0.6              
  4 7,500 1.24 0.51 0.7              
  5 62,000 0.7 0.5 0.7              
Table 1.1            
  Loom Production Rates for the Scottsville Textile Mill
  Loom Rate (yards/hour)      
  Demand Dobbie Regular      
  1 4.63        
  2 4.63        
  3 5.23 5.23      
  4 5.23 5.23      
  5 4.17 4.17      
  Note Fabrics 1 and 2 can be manufactured only on the dobbie loom          

Just formulate the case, using Linear Programming ( Decision Variables, Objective function, and constraints).

 

 

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