# Inequalities hard

• January 27th 2013, 11:11 PM
leezangqe
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 $min\left \{ a,b,c \right \}\geq \frac{1}{4}max\left \{ a,b,c \right \}$
• January 28th 2013, 05:43 PM
chiro
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?
• January 29th 2013, 05:36 AM
leezangqe
Re: Inequalities hard
can you explain more clearly?
• January 29th 2013, 02:10 PM
chiro
Re: Inequalities hard
Are you covering stuff like this?

Lagrange multiplier - Wikipedia, the free encyclopedia
• January 29th 2013, 08:06 PM
leezangqe
Re: Inequalities hard
Thank you, but I need a solution specific setups primary math!