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Hw1_Key - OEM DMOR 2007 Homework 1 Solutions 1 Decision...

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OEM DMOR 2007 Homework 1 Solutions 1. Decision variables: x 1 : number of bookshelves produced x 2 : number of couches produced x 3 : number of worktables produced Using these decision variables and value of the parameters given in the problem, the linear programming formulation can be written as: maximize 6 x 1 + 5 x 2 + 8 x 3 st 12 x 1 + 14 x 2 + 16 x 3 400 (Labor constraint) 40 x 1 + 22 x 2 + 60 x 3 1000 (Lumber constraint) x 1 , x 2 , x 3 0 2. Please see the Excel file. 3. Decision variables: x 11 : number of bookshelves produced in the first week x 12 : number of bookshelves produced in the second week x 21 : number of couches produced in the first week x 22 : number of couches produced in the second week x 31 : number of worktables produced in the first week x 32 : number of worktables produced in the second week r : number of worktables reinvested s : number of worktables sold Using these variables, a linear programming formulation for the problem can be given as: maximize 6 x 11 + 5 x 21 + 8 s + 6 x 12
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