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# A closed rectangular chest with a square base and a volume of 1500 cubic inches is to be constructed of two different types of materials. The top is...

Aclosedrectangularchestwithasquarebaseandavolumeof1500 cubic inchesistobeconstructedoftwodifferenttypesofmaterials. Thetopismadeof metalcosting$10persquareinch. Andtheremainderismadeofwoodcosting$5 persquareinch. Findthedimensionsoftheboxforwhichthecostofthematerials isminimized.