Posted by Lee on Wednesday, December 8, 2010 at 10:05pm.
The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 1536 cm^2, find the dimensions of the poster with the smallest area.

Cal 1  MathMate, Wednesday, December 8, 2010 at 11:24pm
Let the width of the image (excluding margins) be x, then the height is 1536x.
The total area of the poster,
A(x)=(x+2*8)(1536/x+2*12)
Differentiate with respect to x, equate to zero and solve for x. I get x=32.

Cal 1  MathMate, Thursday, December 9, 2010 at 8:00pm
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