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2. Given the following linear programming problem: MaxZ=5X1+6X2Subjectto:X1+X2122X1X243X14X2=6X1,X20 a) Find the optimum solution graphically. b) Find the optimum solution using the Simplex algorithm. c) Check

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2. Given the following linear programming problem: MaxZ=5X1+6X2Subjectto:X1+X2122X1X243X14X2=6X1,X20 a) Find the optimum solution graphically. b) Find the optimum solution using the Simplex algorithm. c) Check your solution by using EXCFI/Solver. d) Find the optimum solution assuming that the value of X1 is an integer. Use the cutting plane algorithm to find the first additional constraint equation that augments the existing LP problem. Plot the new constraint and check analytically if the optimal integer solution has been reached (Do not use Simplex again). Check your solution by using EXCEL/Solver

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