Question: (a) Write the dual of the following linear programming problem: MaximizeSubjecttoZ=3x1+5x2+4x3,2x1+3x28,2x2+5x3103x1+2x2+4x315x1,x2,x30 (b) Find the optimal solution to the given problem in (a) above, using the

(a) Write the dual of the following linear programming problem: MaximizeSubjecttoZ=3x1+5x2+4x3,2x1+3x28,2x2+5x3103x1+2x2+4x315x1,x2,x30 (b) Find the optimal solution to the given problem in (a) above, using the simplex method. (c) From the final optimal table in (b) above, find the solution to the dual problem. (d) Give the economic interpretation to the solution in (c) above

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