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The graphical method
The algebraic method
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32 hours available alternate artificial variables assignment problem available in department bution per Unit calculations Chapter closed path column combinations of pistons constraint equations Contri Contribution Lost contribution per unit decision degeneracy determine example factory feasible solutions area final solution fixed costs hours in department hours per unit illustrated improvement index inequality ingredients initial solution linear programming problems machine manufacturing mathematical Maximize ment minimize MIX QTY MODI method objective function Operations Research opportunity cost optimum solution pistons and pins Plant Capacity pounds procedure product mix quantity quarter represent restraints rim requirements shipped shown in Figure simplex method slack variables solve square WB stone squares storage costs tion total contribution total cost truckloads unit per unit units of X2 UNIVAC unused square values warehouse widgets X2 row x2 Si S2 Xi x2 Xi Xi zero