中等MATH-INEQ-010

Constraints: x + y ≤ 10, 2x + y ≤ 16, x ≥ 0, y ≥ 0. Which point is not a vertex of the feasible region?

A. (0, 0)
B. (8, 0)
C. (10, 0)✓ 答案
D. (6, 4)

解說

(10, 0) lies on x + y = 10 but 2(10) + 0 = 20 > 16, so it is not feasible. The feasible corners are (0, 0), (8, 0), (6, 4) and (0, 10).

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