duality
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Consider the following LP
Min a + b + c + d
St a + d = 3
b + d = 2
c + d = 0
a, b, c, d > 0
a) Write the dual of this problem.
b) Given the primal basis {a, b, c}, construct the corresponding primal and dual solutions.
c) What can you say about the optimality of this basis and its corresponding primal and dual solutions?
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This solution is comprised of a detailed explanation to answer duality problem.
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I would like to suggest you to use the book of "Linear programming and network flows" by Mokhtar bazaraa.
By removing the variable d we permit the a,b,c to ...
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