Asked by Hi
A rectangular page is designed to contain 64 inches of print. The margins at the top and bottom of the page are each 1 inch deep. The margins on each side are 1.5 inches wide. What should the dimensions of the page be so that the least amount of paper is used?
Answers
Answered by
oobleck
if the print area is x by y inches, then the paper size is
p = (x+3)(y+2) = (x+3)(64/x + 2) = 2x+70 + 192/x
This has a minimum at x = 4√6
so now calculate y.
p = (x+3)(y+2) = (x+3)(64/x + 2) = 2x+70 + 192/x
This has a minimum at x = 4√6
so now calculate y.
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