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Unformatted text preview: We are going to construct a box whose base length is 3 times the base width. The material used to build the top and bottom cost $10/ 2 ft and the material used to build the sides cost $6/ 2 ft . If the box must have a volume of 50 3 ft , determine the dimensions that will minimize the cost to build the box. 3 Example 4: A sheet of cardboard 3 ft. by 4 ft. will be made into a box by cutting equalsized squares from each corner and folding up the four edges. What will be the dimensions of the box with largest volume? (Duane Kouba, UCDavis, http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html) Let variable x be the length of one edge of the square cut from each corner of the sheet of cardboard. 4 Example 5: Determine the point(s) on 2 1 y x = + that are closest to (0, 2). 5 6...
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 Spring '08
 FAN
 Calculus, Derivative, $6, $10, Primary Equation, 3 ft, 4 ft

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