Question: Consider the following problem: Maximize Z = X1 + 2x2 , subject to -2x1 + x2 = 8, X1 + x2 > 4, - X1

Consider the following problem: Maximize Z = X1 +

Consider the following problem: Maximize Z = X1 + 2x2 , subject to -2x1 + x2 = 8, X1 + x2 > 4, - X1 + 2x2 0, x2 > 0. 1. Given that the two-phase method is to be used to find a solution, a) Write the augmented form and construct the first tableau for the computations. (5 points) b) Given this tableau, select the variables that should enter and leave the basis. (5 points) c) Solve the linear program completely using two phase method. (10 points) 2. Given that the Big M" method is to be used to find a solution, a) Write the augmented form and construct the first tableau for the computations. (5 points) b) Solve the linear program completely using the Big M" method. (15 points)

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