Question: 1. For x, y both positive scalars, show that Use the above result to prove that the function f defined as is convex. 2. Show

1. For x, y both positive scalars, show that

yex/y = max a (x + y) - ya loga. a>0

Use the above result to prove that the function f defined as is convex.

2. Show that for r ≥ 1, the function fr : Rm+  → R, with values is concave.

yex/y = max a (x + y) - ya loga. a>0

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