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Determine the area of the region defined by {(x, y): 0 ≤ x ≤ 9/4, 0 ≤ y ≤ 1, x ≥ 3y, x + y ≥ 2}.

1. 11/32
2. 35/96
3. 37/96
4. 13/32

Correct answer: 11/32

Solution

The feasible region is a polygon bounded by x = 3y, x + y = 2, y = 1, and x = 9/4; evaluating its area gives 11/32.

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