Question: Question 1. Graphical method (25 marks) Consider the following mathematical model: Min Z=2x- subject to 3x+2y 512 4x+y28 1720,x 20 a. Draw each constraint boundary

Question 1. Graphical method (25 marks) Consider the following mathematical model: Min Z=2x- subject to 3x+2y 512 4x+y28 1720,x 20 a. Draw each constraint boundary line by generating arbitrary points, and report these points in your answer. Label each line on the graph. (5 marks) b. Show each constraint on the graph by a line arrow on the corresponding constraint boundary line. It means that you should show which side of a constraint boundary line corresponds to the constraint. (2 marks) c. Show the feasible region. (5 marks) d. Find all corner points. You should show how you calculate each corner point. (3 marks) e. Show the objective function line on the graph (3 marks) f. Show the direction of improving the objective function on the graph. (2 marks) 8. Show the optimal solution on the graph, and explain how you have found it

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