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Unformatted text preview: opposite bank but 4500m downstream is a power station from which the factory draws its electricity. Assume that it costs three times as much per meter to lay an underwater cable as to lay an aboveground cable. What path should a cable connecting the power station to the factory take to minimize the cost of laying the cable? 5. A box with no top is to be made from a rectangular piece of cardboard two feet wide and four feet long by cutting out equal squares from the four corners and folding up the sides. What size squares should be cut out to maximize the volume of the box? 6. A typical 6 oz. can of tuna has a height h = 3.5 cm , and the diameter of its base is d = 8.5 cm . Thus, the volume of a can is V = ! d 2 h 4 . This is approximately 200 cm 3 . What should the dimensions of the can having the same volume V to minimize its surface area....
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- Spring '07