Max z = 2(x+0.5y)^0.5 -x -y, x>= 0 and y >= 0

[dragonprince]

Hi guys,

I need your help with this maximization problem with only nonnegativity constraints.

Max z = 2(x+0.5y)^0.5 -x -y
subject to: x>= 0 and y >= 0

I used Wolfram Alpha, and it gave me this result.



I used the Lagrange-Kuhn-Tucker method, however, I got stuck. I am not sure if this is the right method though. Could you please guide me on this one?

Thanks a lot!

 

[tkhunny]

Hi guys,

I need your help with this maximization problem with only nonnegativity constraints.

Max z = 2(x+0.5y)^0.5 -x -y
subject to: x>= 0 and y >= 0

I used Wolfram Alpha, and it gave me this result.

View attachment 10415

I used the Lagrange-Kuhn-Tucker method, however, I got stuck. I am not sure if this is the right method though. Could you please guide me on this one?

Thanks a lot!

Why don't you show us how you goy to wherever it was that you became stuck?