We must build a box that has no top and whose base length is ï¬ve
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We must build a box that has no top and whose base length is ï¬vetimes the base width. We have $1000.00 to buy materials to buildthis box. If the material for the sides costs $10.00 per squareinch and the material for the bottom cost $15.00 per square inchdetermine the dimensions of the box that will have the greatestvolume.
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Surface area of open top box is given by S LW 2LH 2WH Given that length is five times the base width So L 5W S 5WW 25WH 2WH S 5W2 12WH Now given
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