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 2003-04-01 05:06:02