# Thread: Differential calculus: Maxima and minima problem (project)

1. ## Differential calculus: Maxima and minima problem (project)

DIFFERENTIAL CALCULUS: MAXIMA AND MINIMA

1. DESIGNING A POSTER
You are designing a rectangular poster to contain 50in^2 of printing with a 4-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?
Can you show it to me how it looks like? -_-
And how do you solve this problem using the maxima and minima? thanks in advanced!

2. ## Re: Differential calculus: Maxima and minima problem (project)

Let the paper be x inches wide and y inches high. Since you want 4 inch margins at top and bottom, and 2 inch margins at each sidea, what are the dimensions of the actual printing area? Set that area equal to 50. You want to minimize xy subject to that constraint.

3. ## Re: Differential calculus: Maxima and minima problem (project)

can u demonstrate to me how to calculate this problem? )

4. ## Re: Differential calculus: Maxima and minima problem (project)

Originally Posted by HallsofIvy
Let the paper be x inches wide and y inches high. Since you want 4 inch margins at top and bottom, and 2 inch margins at each sidea, what are the dimensions of the actual printing area? Set that area equal to 50. You want to minimize xy subject to that constraint.
can u demonstrate to me how to calculate this problem? )

5. ## Re: Differential calculus: Maxima and minima problem (project)

Start by drawing a sketch...

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