Mathematics · Linear Programming
Which of the following options correctly describes the feasible region determined by the constraints x + y ≥ 10, 2x + 2y ≤ 25, x ≥ 0, y ≥ 0?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1An empty set (no feasible region exists)
- 2A triangular bounded region in the first quadrant
- 3An unbounded region lying above the line x + y = 12.5 in the first quadrant
- 4A bounded region enclosed between the two parallel lines x + y = 10 and x + y = 12.5 in the first quadrant✓
Correct answer
A bounded region enclosed between the two parallel lines x + y = 10 and x + y = 12.5 in the first quadrant
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