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2. Solve the following LPP using Simplex method.( 10 marks) Max P = 7x + 6Y Subject to: X + Y <= 4 2X + Y <=6 Where X >=0 and Y >= 0 (Marking Scheme: 2 marks for converting LPP to standard form: 3 marks for initial simplex table; 5 marks@ 2 marks for each iteration process and 1 mark for the optimal solution) 3. Convert the following Linear Programming problem into Standard LPP form.( 5 marks) Maximize Z = 3x1 - 5x2 + 10x3 Subject to: x1 - x2 + x3 <= 15 5x1 + x2 >= 12 x1 + 3x2 + 5x3 <=10 Where x1, x2, x3 >=0
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