Question: Problem 1 Consider a Linear programming problem with 3 activities (products 1,2, and 3), and two resources (raw material and labor). Formulated as: Max: Z

Problem 1 Consider a Linear programming problem

Problem 1 Consider a Linear programming problem with 3 activities (products 1,2, and 3), and two resources (raw material and labor). Formulated as: Max: Z = 4X1 + 32X + 6X3 Subject to:3X1 + X2 + x3 30 Raw Material 2X1 + 2x2 + 3x3 40 Labor X1,82,X3,0 The optimal tableau obtained by simplex method is: 4 1 3 6 1 0 1 0 -- Basis + _x1 - 4x2___x3 ___x4_ __X5 -- 1 1- lwlo |_423 I 0 -- -- -- 2/3 -2/3. - _20/3 t-t- ___x2 --- OM 10 th 13) Suppose the requirements of product I changes to 2 units of raw material and I unit of labor. How does it affect your current tableau? 14) If the requirements of product 3. changes to. 2 units of raw material and 5 units of labor, what would you do to determine the optimal solution? (Just explain, don't calulate it). 15) Consider the addition of another constraintsas: 3X1 + 2x2 + 3x3

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