Question: 7.2-7. Consider the following problem. Maximize Z = x + x2 subject to 2x - XSD XI - X, Sb and x 20, * 20.

7.2-7. Consider the following problem. Maximize Z

7.2-7. Consider the following problem. Maximize Z = x + x2 subject to 2x - XSD XI - X, Sb and x 20, * 20. Letx; and X, denote the slack variables for the respective functional constraints. When q = 3, c, = -2, b = 30, and by = 10, the sim- plex method yields the final simplex tableau shown here. Coefficient of: Basic Variable Right Side X X Z X2 X Eq. z (10) 1 (1) 0 (2) 0 0 0 1 0 1 0 1 1 1 1 -2 40 10 20 1 (a) Use graphical analysis to determine the allowable range for a ande. (6) Use algebraic analysis to derive and verify your answers in part (a). 1 (c) Use graphical analysis to determine the allowable range forb. and b. (d) Use algebraic analysis to derive and verify your answers in part (c) cle) Use a software package based on the simplex method to find these allowable ranges

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