Constraints On Cylinders And Planes

Algebra Level 3

x,y,x,y, and zz are real numbers satisfying x2+y2=1x^2+y^2 =1 and y+z=1y+z=1.

Let MM and mm be the maximum and minimum values of the expression x+2y+zx+2y+z, respectively.

Find M+mM+m.


Dedicated to Aditya Sharma.
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