Solving a linear programming problem uising linprog

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I have the given linear program to solve.
To solve this I prepare the following for the constraints on each of the six variables:
A = [110 205 160 160 420 260;
4 32 13 8 4 14;
2 12 54 285 22 80];
b = [2000 55 800];
where the function to be minimized with constraints:
f = [3 24 13 9 20 19];
lb = [0,0,0,0,0,0];
ub = [4,3,2,8,2,2];
Is solved by:
options = optimoptions('linprog','Algorithm','dual-simplex');
[x,fval,exitflag,output] = linprog(f,A,b,lb,ub,options)
.
I get "Error using linprog (line 182)
LINPROG requires the following inputs to be of data type double: 'LB'"
How do I prepare the linear inequalities correctly?
With Thanks
  4 Comments
Sergio
Sergio on 7 Jul 2024
@Torsten I acidentally edited an old question with a new question, I tried to delete it , but that didn't work!

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Accepted Answer

Torsten
Torsten on 23 May 2024
Edited: Torsten on 23 May 2024
A = -[110 205 160 160 420 260;...
4 32 13 8 4 14;...
2 12 54 285 22 80];
b = -[2000; 55; 800];
Aeq = [];
beq = [];
where the function to be minimized with constraints:
f = [3 24 13 9 20 19];
lb = [0,0,0,0,0,0];
ub = [4,3,2,8,2,2];
Is solved by:
options = optimoptions('linprog','Algorithm','dual-simplex');
[x,fval,exitflag,output] = linprog(f,A,b,Aeq,beq,lb,ub,options)
Optimal solution found.
x = 6x1
4.0000 0 0 4.5000 2.0000 0
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fval = 92.5000
exitflag = 1
output = struct with fields:
iterations: 3 algorithm: 'dual-simplex-highs' constrviolation: 0 message: 'Optimal solution found.' firstorderopt: 1.7764e-15

More Answers (1)

Ayush Modi
Ayush Modi on 23 May 2024
Edited: Ayush Modi on 23 May 2024
Hi Sergio,
The error you are getting is because of extra parameters in the function call. Here is how you can make the call to the "linprog" function with lower and upper bounds:
x = linprog(f,A,b,Aeq,beq,lb,ub,options) % Maximum 8 parameters
Refer to the following MathWorks documentation for more information on syntax of "linprog" function:

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