Question: Consider the problem Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 x1 + 4x2
Consider the problem Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 x1 + 4x2 + x4 = 8 x1, x2, x3, x4 Ú 0 Solve the problem with x3 and x4 as the starting basic variables and without using any artificial variables. (Hint: x3 and x4 play the role of slack variables. The main difference is that they have nonzero objective coefficients.)
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