Question: a) Set up a linear program that will determine a feasible solution to the following system of equations and inequalities if one exists. Do not

a) Set up a linear program that will determine a

a) Set up a linear program that will determine a feasible solution to the following system of equations and inequalities if one exists. Do not solve the linear program. x16x2+x3x4=52x2+2x33x433x12x3+4x4=1xj0j=1,2,3 b) Formulate a phase I linear program to find a feasible solution to the system: 3x1+2x2x33x1x2+2x31 xj0j=1,2,3 Show, from the phase I objective function, that the system contains no feasible solution (no pivoting calculations are required)

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