Question: Problem 1 This problem is to be solved graphically and not using LINGO. Consider the following LP model with optimal solution at point A.

Problem 1 This problem is to be solved graphically and not using LINGO. Consider the following LP model with optimal solution at point A. Maximize 2 = 2x + 3x2 S. t. 10x, + 5x2 600 (1) 6x, +20X2 5600 (2) 8x, +10 X2E600 (3) 100 (1) 10x, +5x2 = = 600 (3) 50. (2) 8x,+10x2=600 E 6x,+20x2=600 Betermine the range for counTH OF AT 10F which point A wi (c) Deter WHICH -------AM 100 Show your work mar ost of 11 for which point C will remain ontimel (5 marks) Show your work (d) Determine the new value of Z if the right hand side of CON1 increase by 50. What is the dual price for CON1? What is the dual price for CON3? Show your work, no marks will be given for simply writing down a number. (6+2=8 marks)

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