Question: 3) Consider the following LP model (0,6) (0,3) Max P = x + 3y subject to (1) x + 2y s 12 (15 min) (2)

3) Consider the following LP model (0,6) (0,3)

3) Consider the following LP model (0,6) (0,3) Max P = x + 3y subject to (1) x + 2y s 12 (15 min) (2) x + y 2 3 20 marks (3) 2x - 3y s6 (4) x20 (5) y20 (6.857, 2.571) 2 (3.0) 2 6 a) Determine which line represents what inequality? (label only. Solution is not needed) (3 marks) b) Shade the feasible region on the graph (5 marks) you must make a copy of the diagram on your paper. b) Find the optimal solution using the iso-profit line or corner method approach. Include all the calculations for the corner method or graph the iso profit line. (6 marks) c) Calculate the amount of slack/surplus for each constraint and Explain which constraints are binding and which ones are non-binding. (6 marks)

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