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 feasible solution to the following system of equations and inequalities if one exists. Do not solve the linear program. ???????? ???????????? + ???????? ???????? = ???? ???????????? + ???????????? ???????????? ???? ???????????? ???????????? + ???????????? = ???? ???????? ???? ???? = ????, ????, ???? b) Formulate a phase I linear program to find a feasible solution to the system: ???????????? + ???????????? ???????? ???? ???????? ???????? + ???????????? ???? 2 ???????? ???? ???? = ????, ????, ???? Show, from the phase I objective function, that the system contains no feasible solution (no pivoting calculations are required)

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