Question: Problem 3 (25 points) Consider the following linear program: Maximize Z= 3 X1 + 4 X2 + X3 Subject to: 15 - 10 (a) X2,

Problem 3 (25 points) Consider the following

Problem 3 (25 points) Consider the following linear program: Maximize Z= 3 X1 + 4 X2 + X3 Subject to: 15 - 10 (a) X2, X3 > 0 X Unrestricted Set up the initial simplex tableau and find an initial basic feasible solution (8 points) Solve the problem using simplex method (7 points). Write the dual problem (5 points). Find the solution of the dual problem (5 points). (b)

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