Solving Constrained Optimization for 4 variables (or 3?)

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Tristofani Agasta
评论： Tristofani Agasta 2022-4-8
I am trying to solve the question from the picture below.
I dont know how to modify the original code from solving 2 variables into solving 4 variables. My friend said it was supposedly only 3 variables (x4 supposedly was x3), maybe because the typo.
There are my Matlab code

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回答（1 个）

Torsten
Torsten 2022-4-8
编辑：Torsten 2022-4-8
It's a simple linear optimization problem. If you are allowed to, use "linprog" to solve.
f = [1; 1; 1; 0];
Aeq = [3 1 0 -1;1 -2 1 0];
beq = [-5;1];
lb = [-Inf; 0 ;0 ;0];
ub = [Inf ;Inf; Inf ;Inf];
sol = linprog(f,[],[],Aeq,beq,lb,ub)
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Torsten
Torsten 2022-4-8
编辑：Torsten 2022-4-8
Then look up "simplex algorithm".
Programming it, everything is hand-made.

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