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The function f(x,y) is such that f(x,y) = x^2.y^3 & x+y =25. Where x, & y are non-negative integers. Select one minimum possible, & one maximum possible value for f(x,y). Make only two selections, one in each column.

## 2 Part question- Max., & Min. value of function!

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- Shalabh's Quants
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Hi,duongthang wrote:how you the the max value? pls, explain.

If X+Y=constant; where X & Y are variables,

then (X^m)*(Y^m)=maximum, when X/m=Y/n.

Here, X+Y=25=constant, hence X/2=Y/3 => X = 10, & Y = 15.

=> This gives X^2.Y^3 = 337500.

-Shalabh

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Do you think this concept is tested in Integrated Reasoning?

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