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About Abe Mantell
Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience
Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook


 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > Optimization Problems

Topic: Calculus



Expert: Abe Mantell
Date: 1/8/2005
Subject: Optimization Problems

Question
The lifeguard at a public beach has 400 m of rope available to lay out a rectanguluar restricted swimming area using the straight shoreline as one side of the rectangle.
(a) If she wants to maximize the swimming area, what will the dimensions of the rectangle be?

(b)To ensure the safety of swimmers, she decides that nobody should be more than 50 m from shore.  What should the dimensions of the swimming area be with this added restriction?
================================================
A farmer wants to fence an area of 750 000m (squared) in a rectangular field and divide it in half with a fence parallel to one of the sides of the rectangle.  HOw can this be done so as to minimize the cost of the fence?

Answer
Hello Sonia,

I need to know if this is for a precalculus class
or calculus?  There are two ways to do these...with
calculus & without!  Please let me know!

TTYL, Abe

BTW: If I have maxed out with questions, then e-mail
me at:  mantell@alum.rpi.edu

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