Solving a linear programming problem uising linprog

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

[Ayush Modi]

Try this ->

beq = [2000;55;800];

[Sergio]

@Ayush Modi I found that out, it was wrong to have beq in the code. I removed it, now it should be right, but the error is completely different now..

[Sergio]

@Torsten I acidentally edited an old question with a new question, I tried to delete it , but that didn't work!

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[Torsten]

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

[Sergio]

Formidable. Thanks Torsten!

Answer 2

[Ayush Modi]

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:

https://www.mathworks.com/help/optim/ug/linprog.html#buusznx_sep_buusznx-Aeq

[Sergio]

Sorry, that doesn't work.