Consider the following Linear Programming problem: Maximise Z = 40x 1 + 50x 2 subject to the constraints: x 1 + 2x 2 ≤ 40, 4x 1 + 3x 2 ≤ 120, x 1 , x 2 ≥ 0. Then the optimal solution is:

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Mathematics · Linear Programming

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Z = 1360 for x 1 = 24, x 2 = 8

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Answer 1

Z = 1360 for x 1 = 19, x 2 = 12

Answer 2

Z = 1460 for x 1 = 24, x 2 = 10

Answer 3

Z = 1360 for x 1 = 24, x 2 = 8

Answer 4

Z = 1600 for x 1 = 30, x 2 = 8

Consider the following Linear Programming problem: Maximise Z = 40x 1 + 50x 2 subject to the constraints: x 1 + 2x 2 &le; 40, 4x 1 + 3x 2 &le; 120, x 1 , x 2 &ge; 0. Then the optimal solution is: