# linear programming optimization equality constraints

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anu vru on 14 Feb 2018
Edited: Matt J on 14 Feb 2018
hello, i am trying to do linear programming. and i am trying to find the minimum of my objective function.
i have attached the code. and my problem statement is also attached. i keep getting error for my equality constraints i tried every possible way known to me to solve. still couldn't fix it if anyone could suggest a way, it would be really helpful thank you
anu vru on 14 Feb 2018
Yes....I need the x

Matt J on 14 Feb 2018
Edited: Matt J on 14 Feb 2018
for that that L I need values for x(1) and x(2)...such that pv*x(1)+pw*x(2)-L=0 or atleast close to Zero
The above is a a version of what you said here with corrections added by me based on your later comments.
If the whole point is really to minimize |pv*x(1)+pw*x(2)-L| subject to bounds on x, then you should really be using lsqlin:
N=length(pv);
clear x
for i=N:-1:1
f=[pv(i) pw(i)];
[x{i} fval{i}]=lsqlin(f,l(i),[],[],[],[], [0.5,0.5],[2.5,2]);
end
Matt J on 14 Feb 2018
yes its working now
The set of all possible solutions will typically be an infinite set of points satisfying the inequalities,
L-optimalValue <= pv*x1+pw*x2 <= L+optimalValue
lbv<= x(1) <=ubv
lbw<= x(2) <=ubw
You can find the vertices of this region using this package.