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    %% Linear Program, Linear Inequality Constraints  
% Solve a simple linear program defined by linear inequalities.   

% Copyright 2015 The MathWorks, Inc.


%% 
% For this example, use these linear inequality constraints: 
%
% $$ x(1) + x(2) \le 2$$
%
% $$x(1) + x(2)/4 \le 1$$
%
% $$x(1) - x(2) \le 2$$
%
% $$-x(1)/4 - x(2) \le 1$$
%
% $$-x(1) - x(2) \le -1$$
%
% $$-x(1) + x(2) \le 2.$$ 
A = [1 1
    1 1/4
    1 -1
    -1/4 -1
    -1 -1
    -1 1];

b = [2 1 2 1 -1 2];  

%% 
% Use the objective function $-x(1) - x(2)/3$. 
f = [-1 -1/3];  

%% 
% Solve the linear program. 
x = linprog(f,A,b)