How do I interpret min x1 x2

2 = min {x1, x2} - What does this notation mean

jumac

4:37 pm, January 17th, 2017

Hello, it's about the following function and task:
f (x1, x2) = - (x1 + 3) ^ 2- (x2-2) ^ 2 and the maximum should be determined under the secondary condition 2 = min (x1, x2). How can I interpret this constraint? I realize that Lagrange is the wrong way or how to determine minima and maxima. I just don't manage to interpret this constraint.

Many Thanks :-)

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ledum

4:45 p.m., January 17, 2017

Hello
the smallest value of the pair must always be equal to 2
so you can write or
the values ​​are therefore on the 2 half-straight lines from and down if you want it to be clear
Greetings ledum

jumac

5:22 p.m., January 17, 2017

ok, that's clear to me so far. if I set x2 = 2, then I'm looking for the first x1 value that is> = 2, i.e. the first point within this "square" right?

jumac

5:26 p.m., January 17, 2017

Should I theoretically also set x1 and x2 equal to 2, then the f (x1, x2) value is -25 and is then (2/2 / -25) the maximum sought?

ledum

8:22 p.m., January 17, 2017

Hello
of course then correct, but "square" is wrong lying on lines!
Greetings ledum
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