How to perform Generalized Maximum Entropy?

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A SHAZAM user asked:

I want to estimate an equation by the generalized maximum entropy approach.

The equation is:

$y=C+\beta1X1+\beta2X2+\beta3X3+\beta4X4$

The Z entropy for each variable is:

C  = (-100,-50,0,50,100)
X1 = (-1,-0.5,0,0.5,1)
X2 = (-2,-1,0,1,2)
X3 = (-5,-2.5,0,2.5,5)
X4 = (-6,-3,0,3,6)

The Ventropy is:

V  = (-46,-23,0,23,46)

My preoccupation is: I don't know how write the program only for the Z entropy. For this I need your help.