Solving an LP problem with an upper limit for the variables











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Im trying to solve the Above LP. Now, can we apply just simplex considering that we can treat the upper bounds of the variables as constraints.



Meaning, we need to add $6$ slack variables, and it would be a bit harder to do the algorithm by hand. Now, the dual will give six variables as well, so it doesnt help much.



In my notes, it says to consider "bounded variable simplex method", but I haven't seen how this method works. how can we apply this method to solve this problem? Is it possible to solve it using the standard primal simplex?










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    Here is a algorithm for Bounded Variables with examples.
    – callculus
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up vote
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enter image description here



Im trying to solve the Above LP. Now, can we apply just simplex considering that we can treat the upper bounds of the variables as constraints.



Meaning, we need to add $6$ slack variables, and it would be a bit harder to do the algorithm by hand. Now, the dual will give six variables as well, so it doesnt help much.



In my notes, it says to consider "bounded variable simplex method", but I haven't seen how this method works. how can we apply this method to solve this problem? Is it possible to solve it using the standard primal simplex?










share|cite|improve this question


















  • 1




    Here is a algorithm for Bounded Variables with examples.
    – callculus
    yesterday













up vote
0
down vote

favorite
3









up vote
0
down vote

favorite
3






3





enter image description here



Im trying to solve the Above LP. Now, can we apply just simplex considering that we can treat the upper bounds of the variables as constraints.



Meaning, we need to add $6$ slack variables, and it would be a bit harder to do the algorithm by hand. Now, the dual will give six variables as well, so it doesnt help much.



In my notes, it says to consider "bounded variable simplex method", but I haven't seen how this method works. how can we apply this method to solve this problem? Is it possible to solve it using the standard primal simplex?










share|cite|improve this question













enter image description here



Im trying to solve the Above LP. Now, can we apply just simplex considering that we can treat the upper bounds of the variables as constraints.



Meaning, we need to add $6$ slack variables, and it would be a bit harder to do the algorithm by hand. Now, the dual will give six variables as well, so it doesnt help much.



In my notes, it says to consider "bounded variable simplex method", but I haven't seen how this method works. how can we apply this method to solve this problem? Is it possible to solve it using the standard primal simplex?







linear-programming






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asked yesterday









Jimmy Sabater

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  • 1




    Here is a algorithm for Bounded Variables with examples.
    – callculus
    yesterday














  • 1




    Here is a algorithm for Bounded Variables with examples.
    – callculus
    yesterday








1




1




Here is a algorithm for Bounded Variables with examples.
– callculus
yesterday




Here is a algorithm for Bounded Variables with examples.
– callculus
yesterday















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