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Let m and n bwe positive integers and x,...

Let m and n bwe positive integers and `x,y gt 0 and x+y =k,` where k is constnat. Let `f (x,y) = x ^(m)y ^(n),` then:

A

`f (x,y) ` is maximum when `x= (mk)/(m+n)`

B

`f (x,y)` is maximuim wheere `x =y`

C

maximum value of `f (x,y) is (m^(n)n ^(m) k ^(m+n))/((m+n)^(m+n))`

D

maximum vlaue of `f (x,y) is (k ^(m+n) m ^(m)n ^(n))/((m+n)^(m+n))`

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The correct Answer is:
A, D
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