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Review of Elementary Mathematics
Some More High School Mathematics
Solution of Simultaneous Equation Sets
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alternate optima alternate-optimal solutions artificial variables assignment problem basic solution basic variables C-vector called canonical form Chapter closed chain coefficients constraints corresponding cost function degeneracy degenerate discrepancy dual algorithm dual problem dual simplex algorithm dual variables element epsilon equal exactly example final tableau formulation fraction Gaussian elimination go to step graph identity matrix independent zeros inequality infeasible integer iteration linear programming problem mathematical maximize minimize multiply negative number nonbasic variable nonlinear nonlinear programming nonnegative Note objective function opportunity cost optimal feasible solution optimal solution permutation matrix pivot row positive primal algorithm primal problem primal variables primed zero quota represents rows and columns second row Section set of equations shadow prices simplex method slack variables smallest solve standard form starred zero structural variables subroutine third row tion transportation problem traveling salesman problem values vector vertex widgets worker write