MATLAB: How can we minimize the maximum of absolute differences in matlab

absolute defferencesMATLABminimize

I want to solve this linear programming model in MATLAB.
min w
with constraints
|z/x -8|<=w, |z/y -2|<=w, |y/x -5|<=w,
x,y,z>=0, x+y+z=1.
Thanks in advance!

Best Answer

https://de.mathworks.com/help/optim/ug/fminimax.html
Best wishes
Torsten.