What is the UB and LB in the following solver based approch optimisation question

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Minimize f = 2x1 + 3x2 + 2x3-X4 + X5
subject to the constraints
3x1 - 3x2 + 4x3 + 2x4 - X5 = 0
X1 + x2 + x3 + 3x4 + x5= 2
x/ 20, i = 1 to 5
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Answers (1)

Abolfazl Chaman Motlagh
Abolfazl Chaman Motlagh on 10 Sep 2021
your upper bound is infinity , lower bound is zeros:
f = [2;3;2;-1;1];
Aeq = [3 -3 4 2 -1;1 1 1 3 1];
beq = [0;2];
lb = zeros(5,1);
ub = inf(5,1);
[X,feval] = linprog(f,[],[],Aeq,beq,lb,ub)
Optimal solution found.
X = 5×1
0 0 0 0.4000 0.8000
feval = 0.4000

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