
05298094
j
2008d.00370
Kantrowitz, Robert
Neumann, Michael M.
Is the optimal rectangle a square?
Pi Mu Epsilon J. 12, No. 7, 405412 (2007).
2007
Worcester Polytechnic Institute (WPI), Mathematical Sciences, Worcester, MA
EN
I40
I20
optimization
extreme value problems
area function
logconcave functions
concavity
Summary: This note centers around the extent to which products of concave functions have a unique maximum point. The main result leads to simple solutions of several problems from basic calculus, based on the idea of symmetry