Question: 1. Consider the following problem. Maximize Z=-2x + x - 4x3 + 3x4 Subject to: x + x + 3x + 2x 4 X X

1. Consider the following problem. Maximize Z=-2x

1. Consider the following problem. Maximize Z=-2x + x - 4x3 + 3x4 Subject to: x + x + 3x + 2x 4 X X + x 1 2.x + x 2 x + 2x + x + 2x = 2 and X 0, x 0, x 0 (no nonnegativity constraint for x). Formulate this problem to fit our standard form for a linear programming model presented in the class. Present this in a Simplex Tableau determine which variables are decision variables. slack, surplus, artificial, etc. Using the Big M Method, construct the first Simplex Tableau and define (and indicate) all the variables introduced. Given the following minimization problem Minimize C = 20y, +30y Subject to: 3y + 5y 40 4y, +3y 46 y 0, y 0. State the Dual Problem. Solve the Dual Problem using The Simplex Method and interpret your results. Given the following minimization problem: Minimize Z=160x, +400x +300x3 subject to: 3x +6x +6x 236 4x, +6x + 3x 20 2x, +8x + 4x 30 x 0, x 0, xz 0. Formulate the dual of this minimization problem. Solve the Dual Problem using the Simplex Method and interpret your result... State the shadow prices

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