中等MATH-INEQ-004
A linear objective is optimised on a closed bounded feasible region. Where does the maximum occur?
A. At the origin only
B. At every interior point
C. At a vertex of the feasible region✓ 答案
D. At the midpoint of the longest side
解說
A linear function on a closed bounded polygon attains its maximum at a vertex. If two adjacent vertices tie, the whole edge is optimal, and those vertices are still included. The origin and the midpoints are not special unless they are vertices that win the comparison.