The following is a L.P.P: Max 10.9X1- 2.5X2 + 12X3 (Hundreds of dollars S) s.t: X1 + X2 + X3 < 10 X1 + X2 + X3 ce 12 X1 + X2 + 2X3 <= 13 (demand for 6 oz. glasses: hundreds of cases) (production capacity: hours) (warehouse capacity; hundreds of sq. ft.) x1, x2, x3 2 0 The optimal solution to the model as follows: Basis Cij 10.9X1 2.5X2 12X3 OS1 os2 Os3 RHS S1 1 -1 0. 18 X1 10.9 1 1 2 -1 11 X3 12 0. -1 C-Z How much is the Absolut value of the reduced cost (in $) in the optimal solution? i.e Absolut value of |-5| = always = 5

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.