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mathcalculus
 one year ago
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
mathcalculus
 one year ago
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

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ranga
 one year ago
Best ResponseYou've already chosen the best response.2Assume 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.
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