maximization problem , linprog optimization

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xu
xu 2023-3-26
评论： Matt J 2023-3-27
Hello,
I'm trying to solve this maximization problem with matlab.

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回答（1 个）

Sulaymon Eshkabilov
Here is a nice documentation showing several examples how to apply linprog() fcn of MATLAB to solve such exercises:
https://www.mathworks.com/help/optim/ug/linprog.html
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Matt J
Matt J 2023-3-27
You should have,
ub=[220;70; +inf];
but that won't make a difference to the result.
Matt J
Matt J 2023-3-27
Ran in:
You can double check things with the problem-based approach:
lam=optimvar('lambda',1,'Lower',0);
x=optimvar('x',[2,1],'Lower',[160,10],'Upper',[220,70]);
Con.Con1=0.0123*x(2)-0.738*lam>=0.123;
Con.Con2=-0.0069*sum(x)-0.828*lam>=-2.001;
prob=optimproblem('Objective',lam,'ObjectiveSense','max','Constraints',Con);
sol=solve(prob)
Solving problem using linprog. Optimal solution found.
sol = struct with fields:
lambda: 0.6667 x: [2×1 double]

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