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mathcalculus
Help.. (1 pt) A rectangular page is to contain 180 square inches of print. The top and bottom margins are each 0.6 inches wide , and the margins on each side is 1.25 inches wide. What should the dimensions be if the least amount of material is to be used ? (Leave your answers to 3 decimal places.) Length of top(bottom) : inches Length of side : inches
Assume the length of the paper is L and width W. Area = LW (the area of the material used). We want to minimize A. You can find the dimensions of the printable area of the paper: The length will decrease by the top and bottom margins: (L - .6 - .6) = (L - 1.2) The width will decrease by the left and right margins: (W - 1.25 - 1.25) = (W - 2.5) (L - 1.2)((W - 2.5) = 180. Solve for L in terms of W. Substitute in the area formula and minimize by finding derivative and equation to zero.