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Exercise 6 dual of transportation problem Quantities a am of a certain prod uct are...

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Algebra

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Exercise 6 dual of transportation problem Quantities a am of a certain prod uct are to be shipped from each of m locations and received in amounts b bn at each of n destinations Associated with the shipping of a unit of product from origin i to destination j is a shipping cost C It is desired to determine the amounts xij to be shipped between each origin destination pair i 1 m j 1 n so as to satisfy the shipping requirements and minimize the total cost of transportation a Formulate this as a linear program in mn variables 11 mn subject to m n equality constraints with the nonnegativity conditions xij 0 b Taking the linear program you wrote in a as the primal program state the corresponding dual program

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