Question: Consider a linear program with a single constraint minimize z = c1x1 + c2x2 ++ cnxn subject to a1x1 + a2x2 + ... + anxn

Consider a linear program with a single constraint

minimize z = c1x1 + c2x2 ++ cnxn

subject to a1x1 + a2x2 + ... + anxn <= b

ai>0

x1, x2, ..., xn >= 0

Using duality develop a simple rule to determine an optimal solution, if the latter exists.

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