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Problem 3 (10 marks) Consider the following linear programming (LP) problem: Maximize Z = kx, + 2x2 subject to 2x, + x, $100 x, +x2

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Problem 3 (10 marks) Consider the following linear programming (LP) problem: Maximize Z = kx, + 2x2 subject to 2x, + x, $100 x, +x2 580 x $40 X1,x2 20 (a) Find the optimal solution graphically for k = 3 (b) Use graphical analysis to determine the values of & such that the solution obtained in (a) remains optimal

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