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priscilla98
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Homework Statement
A rectangular poster is to be made out of cardboard. The margins on the top and the bottom will be 2 inches. The margins on the sides will be 1 inch. the are of the poster devoted to the printed material must be 300 square inches.
(a) To the nearest .001 inches, find the dimensions of the poster that use the least amount of cardboard.
(b) To the nearest .001 inches, find the are of the poster that uses the least amount of cardboard.
Homework Equations
Area of rectangle = length x width
The Attempt at a Solution
(a) In this problem we want to find the least amount of cardboard and we know that we will use 300 sq. in. of margins. So, the area will be the function we are trying to optimize and the amount of margins is the constraint. The two equations for these are,
Maximize: A = xy
Contraint: 300 = 2x + y
Am I right so far?
Any help will be greatly appreciated, thanks a lot