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!

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.

Re: Differential calculus: Maxima and minima problem (project)

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

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? )

Re: Differential calculus: Maxima and minima problem (project)

Start by drawing a sketch...