optimize with linear constraints and bounds of 9 variables in matlab

main.m
% Define the objective function coefficients
f = [1, 1, 1, 1, 1, 1, 1, 1, 1];

% Define the inequality constraints as A*x <= b
A = [
    -1, 0, 0, 0, 0, 0, 0, 0, 1;   % Constraint 1: x1 - x9 <= 0
    0, -1, 0, 0, 0, 0, 0, 1, 0;   % Constraint 2: x2 - x8 <= 0
    % ... add more constraints here if needed
    ];

b = [0; 0; ...];   % Right-hand side of the inequality constraints

% Define the upper and lower bounds as lb <= x <= ub
lb = zeros(9, 1);  % Lower bounds: x >= 0
ub = [Inf; Inf; ...];  % Upper bounds: no upper limit for variables

% Solve the linear programming problem
[x, fval, exitflag, output] = linprog(f, A, b, [], [], lb, ub);

% Display the optimal solution
fprintf('Optimal solution:\n');
disp(x);

% Display the optimal objective value
fprintf('\nOptimal objective value: %f\n', fval);
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