Given:
x,y,z > 0
xy+yz+zx <= 3/4
and
P=x+y+z+(1/x)+(1/y)+(1/z)
Find the Minimum Value of P.
Find x, y, and z when P = Minimum Value.
The Excel solver function agrees with the posted answer of the minimum P being 7.5, when x=y=z=0.5, when using the constraints given, though x>0 has to be coded as x>=.0000001, etc.

Posted by Charlie
on 20030401 05:06:02 