Question: 1. Consider the following linear programming (LP) problem: Maximize z = 5x + 2x2 Subject to 4x1-2x, S 40 X; - 2x2 2-5 x1,x2 0.

1. Consider the following linear programming (LP) problem: Maximize z = 5x + 2x2 Subject to 4x1-2x, S 40 X; - 2x2 2-5 x1,x2 0. Use the Simplex method to determine the optimal solution. Make note of any special cases if there is any. (08) = 2. Consider the following linear programming problem: Minimized z = 2x + 3x2 Subject to 0.5x, +0.25x2 s 20 X: + 3x2 2 20 X: + x2 = 10 X1, X2 20 Solve using the Big-M method until Table 1 of the solution. (08)

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