# Differential calculus: Maxima and minima problem (project)

• Mar 6th 2013, 08:12 PM
iankasai
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!
• Mar 7th 2013, 06:21 AM
HallsofIvy
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.
• Mar 8th 2013, 12:19 AM
iankasai
Re: Differential calculus: Maxima and minima problem (project)
can u demonstrate to me how to calculate this problem? :))
• Mar 8th 2013, 12:20 AM
iankasai
Re: Differential calculus: Maxima and minima problem (project)
Quote:

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? )
• Mar 8th 2013, 12:52 AM
Prove It
Re: Differential calculus: Maxima and minima problem (project)
Start by drawing a sketch...