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Systems of Linear Equations
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augmented matrix basic column boxes cents clear column clearing tree coefficient compute contains convex combination corner points cost factors cost values demand entry Example 3a Exercise feasible region Figure final answer final solution final tableau given goal grams graph graph theory graphical method identity matrix inequality initial solution initial tableau inverse linear equations linear programming problem main table matrix multiplication Maximize P(xi maximizing problem maximum minimal cost Minimize C(xi negative number number of items nutrient objective function obtained order to maximize ounces overtime phase II maximizing pivot column pivot quotients pivot row plant positive number possible pounds production profit quantity reduced row echelon reference numbers represent requires row echelon form row operations Section 5.4 Shipping costs simplex method solve square matrix subject to Xi supply system of equations system of linear Unit cost variables vertex vertices zero