Question: Given the following linear programming problem, use the graphical method to solve the model. Max Z=120X + 60Y s.t. 50Y 2500 80X + 60Y 4800

  1. Given the following linear programming problem, use the graphical method to solve the model.

Max Z=120X + 60Y

s.t. 50Y 2500

80X + 60Y 4800

90X + 20Y 1800

70X 25Y 0

X, Y 0

  1. Draw all constraints and identify the feasible region in the graph paper given below. (**You can either (1) draw on paper by hand, or, print and draw it on below graph paper, then take a photo and insert the graph in the area below; or (2) draw it directly in Word using lines, arrows and freeform shapes. Using other software or any tools on web is NOT acceptable.)

(10 marks)

  1. By drawing the objective function line on the above graph, determine the optimal solution of X, Y and Z. (9 marks)

  1. Write down the value of slack/surplus variables for each constraint. (4 marks)

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