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Consider the following linear programming problem: Min 2x+2y s.t. x+3y <= 12 3x+y>=13 x-y<=3 x,y>=0 a) Find...

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Basic Math

Consider the following linear programming problem: Min 2x+2ys.t. x+3y <= 12 3x+y>=13 x-y<=3 x,y>=0

a) Find the optimal solution using the graphical solutionprocedure.

b)      Find the value of theobjective function at optimal solution.

c)      Determine the amount ofslack or surplus for each constraint.

d)        Suppose theobjective function is changed to mac 5A +2B. Find the optimalsolution and the value of the objective function.

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