Mathematics · Linear Programming
For the linear programming problem: Maximize Z = 2x1 + 4x2 + 4x3 - 3x4 Subject to αx1 + x2 + x3 = 4, x1 + βx2 + x4 = 8, x1, x2, x3, x4 ≥ 0, consider the following two statements: S1: If α = 2 and β = 1, then (x1, x2)T forms an optimal basis. S2: If α = 1 and β = 4, then (x3, x2)T forms an optimal basis. Then, which one of the following is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Neither S1 nor S2 is TRUE
- 2Both S1 and S2 are TRUE
- 3S2 is TRUE and S1 is FALSE✓
- 4S1 is TRUE and S2 is FALSE
Correct answer
S2 is TRUE and S1 is FALSE
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