Convert the constraints into linear equations by using slack variables. Maximize z = 1.1x1 + 2.6x2 subject to 1.9x1 + 1.5x2 ? 39, 1.6x1 + 1.3x2 ? 11, x1 ? 0, and x2 ? 0. A. 1.9x1 + 1.5x2 + x3 ? 39 1.6x1 + 1.3x2 + x4 ? 11 B. 1.9x1 + 1.5x2 + x3 = 39 1.6x1 + 1.3x2 + x4 = 11 C. 1.9x1 + 1.5x2 = x3 + 39 1.6x1 + 1.3x2 = x4 + 11 D. 1.9x1 + 1.5x2 + x3 = 39 1.6x1 + 1.3x2 + x3 = 11
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We can introduce slack variables X3 and X4 to do this: 9x1 + 1.5x2 + X3 = 39 6x1 + 1.3x2 + X4 = 11 Now, we have a system of linear equations: Show more…
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