Math

a page is to contain 30 square inches of print. the margins at the top and bottom are each 2 inches wide. the margin on each side are only 1 inch wide. find the dimensions of the page so that the least paper is used

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  1. If the print is x by y, then the page is (x+2)(y+4)

    Since xy=30, we want to minimize

    a = (x+2)(30/x + 4) = 4x+8 + 60/x

    So, find x when da/dx = 0 to get the minimum area.

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