Mathematics · Linear Programming
Optimize Z = 3x + 9y subject to the constraints: x + 3y ≤ 60, x + y ≥ 10, x ≤ y, x ≥ 0, y ≥ 0. Then:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Maximum value of Z occurs at all the points on the line segment joining (15, 15) and (0, 20).✓
- 2Maximum value of Z occurs exactly at two points (15, 15) and (0, 20).
- 3Maximum value of Z occurs at the point (0, 20) only.
- 4Maximum value of Z occurs at the point (15, 15) only.
Correct answer
Maximum value of Z occurs at all the points on the line segment joining (15, 15) and (0, 20).
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