Question: By using simplex method 1. Consider the following set of constraints: x1+2x2+2x3+4x4402x1x2+x3+2x484x12x2+x3x410x1,x2,x3,x40 The following parts are independent (10 points each): (a) Consider the objective function

By using simplex method

1. Consider the following set of constraints: x1+2x2+2x3+4x4402x1x2+x3+2x484x12x2+x3x410x1,x2,x3,x40 The following parts are independent (10 points each): (a) Consider the objective function as: Maximize z=8x1+6x24x32x4. Write the standard form of problem (b) (ONLY standard form DO NOT solve) and consider x4 as a variable with unrestricted sign. (b) Use the simplex method to solve the problem to: Maximize z=2x1+x23x3+5x4 2. Consider the following LP (10 points): Subject to Maximizez=15x1+15x2 40x1+30x2124x1+x21x13x1,x20 Use the simplex method to solve the

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