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Can a linear programming problem have no feasible solution even if all variables are nonnegative? Why?

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Yes. Nonnegative variables alone do not guarantee feasibility. The other constraints can still conflict with each other, making it impossible for any nonnegative values of the variables to satisfy all constraints at the same time.

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Yes, because the constraints can still conflict with each other even when all variables are nonnegative, making it impossible to satisfy all constraints at the same time.


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