(Sorry no img)
The printed area of a page in a book will be 81cm^2. The margins at the top and bottom of the page will each be 3 cm deep. The margins at the sides of the page will each be 2 cm wide. What page dimensions will minimize the amount of paper?
#Simple optimization problem! need help though
north herald
velvet ironBOT
(Sorry no img)
The printed area of a page in a book will be 81cm^2. The margins ...
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also sorry because i think this could also fall under the highschool category, but whatever! hopefully it is to no concern
quick gate
Call the width (left to right) h
The width of the printed side is (h-4) due to the margins on both sides
This makes the other side of the printed area 81/(h-4) due to area
This makes the length of the paper (81/(h-4)) + 6 due to the margins
Area paper: (81/(h-4)+6)(h)
= 81h/h-4 + 6h
dA/dh = dA/dH(81h/(h-4)) + 6
Use quotient rule to find full dA/dh