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Consider the following variables definitions: wm,i,a:= number of actual items from product m produced in plant i in period a um,i,a:= number of non-defective items
Consider the following variables definitions: wm,i,a:= number of actual items from product m produced in plant i in period a um,i,a:= number of non-defective items from product m produced in plant i in period a xm,i,a:=1 if product m is considered for production in plant i in period a, zero otherwise vi,a:=1 if there is any production in plant i in period a, zero otherwise ya:=1 if there is any production in period a, zero otherwise and the following parameters: Ai:= a non-negtive number for each i Fa:= a non-negtive number for each a Bi:= a non-negtive fraction for each i where m=1,,18,i=1,,10,a=1,,13, . Consider the following constraints: m=118xm,i,aAivi,a0i&aum,i,aBiwm,i,a=0m,i&awm,i,a615xm,i,a0m,i&awm,i,aFaya0m,i&ai=110um,i,a2953m&ai=110vi,a3ai&am=118wm,i,a962vi,aim=118a=113wm,i,a1888xm,i,avi,am,i&avi,ayai&a Answer the following based on the above constraints: 1. Interpret the meaning of Constraint-(2). 2. What is the total demand per period for each product. 3. What is the plant capacity (maximum total items that you can produce in a plant) per period. 4. What is the minimum number of products that should be produced in a plant during any production period. 5. What is the maximum number of items that can be produced in any plant during all the periods
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