Not sure if this is the right section for this but...

Minimize $\displaystyle f(x_1, x_2) = -x_1 + x_2$ subject to the following constraints,

$\displaystyle 0 \leq x_1 \leq a$, $\displaystyle 0 \leq x_2 \leq 1$ and $\displaystyle x_2 \geq x_1^2$.

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- Nov 22nd 2009, 01:53 PMDeadstarMinimize function
Not sure if this is the right section for this but...

Minimize $\displaystyle f(x_1, x_2) = -x_1 + x_2$ subject to the following constraints,

$\displaystyle 0 \leq x_1 \leq a$, $\displaystyle 0 \leq x_2 \leq 1$ and $\displaystyle x_2 \geq x_1^2$. - Nov 22nd 2009, 03:37 PMqmechI'm sure I've misinterpreted the problem, but...
To minimize this don't you want x2 as small as possible? If so, then x2=x1^2. Then you're minimizing x^2-x, which is at x=1/2. If your bounds don't permit this, don't you just need to check the boundary values and x=1/2?