Wednesday, November 2, 2011

Open top box problem ? help plz.?

A candy maker wants to package jelly beans in boxes each having a volume of 1000 in3. Each of these jelly bean boxes is to be an open-topped rectangular box with a square base having edge length x between 6 and 12 in. In addition, the box is also to have a square lid with a 2-in. rim. Thus the box-with-lid actually consists of two open-topped boxes, the x by x by y candy box itself with height in., and the x by x by 2 lid with height 2 in. (we ume that the lid fits very snugly). The candy maker’s problem is to determine the dimensions x and y that will minimize the total area A (and hence the cost) of the two open-topped boxes that comprise a single candy box with its lid.

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