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I need help answering the following question, please show all steps & work!! Consider the following model: Max 12X + 6Y S.T. Constraint 1 12X

I need help answering the following question, please show all steps & work!!

Consider the following model: Max 12X + 6Y S.T. Constraint 1 12X + 15Y 180 Constraint 2 15X + 10Y 150 Constraint 3 X 2 Constraint 4 Y 1 Constraint 5 -5X + 7Y 0 X, Y 0 a) Plot all constraint. b) Determine the feasible region(by shading) indicating the feasible side. c) Use Excel Solver to verify your optimal solution. (You must submit your excel work to get the full points.)

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