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## Homework Statement

minimiza f(x) = x_1

subject to (x-1)^2+y^2=1

(x+1)^2+y^2=1

Graph the feasible set, Are there any local minimizers and global minimizers?

## Homework Equations

I have graphed the feasible set

http://www.wolframalpha.com/input/?i=graph+%28x-1%29^2%2By^2%3D1+and+%28x%2B1%29^2%2By^2%3D1

## The Attempt at a Solution

I don't know if the local minima is going to be (0,0) cause its common to both the constraints or if its going to be some other pt.

thx