Question: See the pic below Consider a transportation problem in which all cost coefcients a are positive. Suppose that we increase the supply at some source

See the pic below

Consider a transportation problem in which all cost coefcients a\" are positive. Suppose that we increase the supply at some source nodes and the demand at some sink nodes. (In order to maintain feasibility, we assume that the increases are such that total demand is equal to total supply.) Is it true that the value of the optimal cost will also increase? Prove or provide a counterexample

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