Transcription of 9.3 THE SIMPLEX METHOD: MAXIMIZATION
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9.3 THE SIMPLEX METHOD: MAXIMIZATION
THE SIMPLEX METHOD: MAXIMIZATIONFor linear programming problems involving two variables, the graphical solution methodintroduced in Section is convenient. However, for problems involving more than twovariables or problems involving a large number of constraints, it is better to use solutionmethods that are adaptable to computers. One such method is called the SIMPLEX method,developed by George Dantzig in 1946. It provides us with a systematic way of examiningthe vertices of the feasible region to determine the optimal value of the objective introduce this method with an we want to find the maximum value of where and subject to the following the left-hand side of each inequalityis less than or equal to the right-hand side, theremust exist nonnegative numbers and that can be added to the left side of each equa-tion to produce the follow
9.3 THE SIMPLEX METHOD: MAXIMIZATION For linear programming problems involving two variables, the graphical solution method introduced in Section 9.2 is convenient. However, for problems involving more than two variables or problems involving a large number of constraints, it is better to use solution methods that are adaptable to computers.
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