[其他] 函數問題 請大家幫忙
第一大題
1. Is the following function concave or convex? why?
F(x,y) = (x-1)^a(y-2)^b , a,b > 0
2. Is the above function quasi-concave?
3. If we maximize the above function subject to the constraint
p1X + p2Y = 100
where p1 & p2 are parameters. Find the effects of a & p1 on the
maximal values of F(x,y) , respectivly.
第二大題
F(x,y,z) = (x-a)^p(y-2)^q(z-3)^r a,p,q,r > 0
1. Is the above function concave?
2. Soppose that you want to maximize the above function subject to the
constraint x + 2y +3z = 100
Is the objective function quasi-concave?
3. How the maximum value of F(x,y,z) changes as the parameter a changes
請大家幫助我 我需要中文詳解~~~~
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