Question: 15 A function f (x1, x2, . . . , xn) is quasi-concave on a convex set S Rn if x S, x

15 A function f (x1, x2, . . . , xn) is quasi-concave on a convex set S  Rn if x  S, x  S, and 0  c  1 implies f [cx (1  c)x ]  min[ f (x ), f (x )]

Show that if f is concave on R1, then f is quasi-concave.

Which of the functions in Figure 19 is quasi-concave? Is a quasi-concave function necessarily a concave function?

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