Math Help - Inequalities hard

1. Inequalities hard

Find the maximum and minimum values of the expression $P=\frac{a-b}{c} +\frac{b-c}{a} +\frac{c-a}{b}$. Where $a,b,c$ are positive real numbers satisfying the condition $min\left \{ a,b,c \right \}\geq \frac{1}{4}max\left \{ a,b,c \right \}$

2. Re: Inequalities hard

Hey leezangqe.

What class is this in? Is this in multi-variable calculus or in an optimization course? Have you learned Lagrange Multipliers?

3. Re: Inequalities hard

can you explain more clearly?

4. Re: Inequalities hard

Are you covering stuff like this?

Lagrange multiplier - Wikipedia, the free encyclopedia

5. Re: Inequalities hard

Thank you, but I need a solution specific setups primary math!