## Solving set of inequalities

Hi everyone,

I've the following set of inequalities:

x+y+z=1
x+y+0.94z>=0.9
x+y+0.94z<=1
x+y+0.54z>=0.6
x+y+0.54z<=0.75
x+0.664y+0.3130z>=0.4
x+0.664y+0.3130z<=0.55
x+0.26y+0.228z>=0.2
x+0.26y+0.228z<=0.35
0.7360x+0.176y+0.09z>=0.12
0.7360x+0.176y+0.09z<=0.22
0.401x+0.05y+0.031z>=0.05
0.401x+0.05y+0.031z<=0.1

Their solution should be 0.05, 0.03 and 0.65 for x, y and z respectively.

How can I solve it using any kind of software (MATLAB, Excel)?