Mathematics · Linear Programming
Consider the following Primal Linear Programming Problem: Maximize Z = 3x1 + 2x2, subject to the constraints x1 + x2 ≤ 4, x1 - x2 ≤ 2, and x1, x2 ≥ 0. In the final Simplex tableau for this primal problem, the Zj values corresponding to the slack variable columns (s1 and s2) are 52 and 12, respectively. Calculate the optimal values of the dual variables (y1, y2) and the resulting optimal value of the dual objective function W.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1y1 = 3, y2 = 1; W = 11
- 2y1 = 4, y2 = 2; W = 12
- 3y1 = 52, y2 = 12; W = 11✓
- 4y1 = 12, y2 = 52; W = 10
Correct answer
y1 = 52, y2 = 12; W = 11
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