In
linprog
set
lb = [0 0 -Inf];
You will have to take the negative of your objective function vector in order to maximize.
Alternatively, formulation is easier if you use the problem-based approach:
prob = optimproblem('ObjectiveSense','maximize');
x = optimvar('x',3,'LowerBound',[0 0 -Inf]);
prob.Objective = x(1) - 2*x(2) + 3*x(3);
prob.Constraints.cons1 = sum(x) <= 7;
prob.Constraints.cons2 = x(1) - x(2) + x(3) >= 2;
prob.Constraints.cons3 = 3*x(1) - x(2) - 2*x(3) == -5;
[sol,fval] = solve(prob)
Alan Weiss
MATLAB mathematical toolbox documentation
