## Question: Solve the following LPP using Big M Method. Each carries 15 marks. Problem -1 Minimize Z = 7×1 + 15×2 + 20×3 Subject to 2×1+4×2+6×3 >=24 3×1 + 9×2 + 6×3 >=30 X1, X2, X3 >=0 Problem 2: Maximize Z = 6×1 + 4×2 Subject to: 2×1+3×2<=30 3x1+2x2<=24 X1+x2>=3 x1, x2>=0 Marking Scheme: 15 Marks for each question: (5 marks for converting LPP to standard form; 2 marks for initial simplex table; 6 marks@ 3 marks for each iteration process and 1 mark for the optimal value and 1 mark for final solution)

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