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An open cylindrical vessel is to be constructed to transport 80 m3 of grain from a warehouse to a factory. The sheet metal used for the bottom and sides cost $80 and $10 per square meter, respectively.

If it costs $1 for each round trip of the vessel, find the dimensions of the vessel for minimizing the transportation cost. Assume that the vessel has no salvage upon completion of the operation.

Operation Management, Management Studies

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