## Introduction to finite mathematics and linear programming |

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Addison-Wesley Publishing Company algebraically assign augmented matrix basic feasible solution basic solution basis vectors cartesian product Chapter constant terms constraint convex combination domain dual elementary operations elements equal equivalence relation evaluate Example 1 Let expressed extreme point geometrically Hence hyperplane identity matrix independent vectors infinite number integer solution intersection inverse linear combination linear programming problem linear transformation linearly dependent Mathematical matrix of coefficients maximin maximize minimization mixed strategy multiplication nonnegative nonzero Note number of solutions objective function obtain one-to-one optimum solution ordered pairs output payoff payoff matrix Pi P2 P3 polyhedral convex set possible outcomes probability rank real numbers represent sample points sample space scalar Section set of vectors shown in Figure shown in Table simple event simplex method solution set solve subset Suppose system of equations transportation cost two-dimensional space unoccupied cells vector space vectors Pi W2Di WiD2 xu x2 zero