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

[Shalabh's Quants]

Hello Friends!

Try this question...

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.

[AbhiJ]

Min = 0
Max = (5^5)*(2^2)*(3^3) = 337500

[tanviet]

how you the the max value? pls, explain.

[e-GMAT]

how you the the max value? pls, explain.

Hi,

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

[kevincanspain]

Do you think this concept is tested in Integrated Reasoning?

[tanviet]

gmat dose not test the formular.