
Possible types:

maximal/minimal distance between a point and a curve parametree
fixed contour, maximal area
fixed area, minimal contour
fixed area, maximal volume
fixed volume, minimal area
light problem.
minimal distance between moving points
maximal angle from a moving point to 2 fixed ones
weighted distance from a moving point to 2 fixed points
maximal rectangle dans un triangle 
emplacement de la gare
salaire hebdomadaire optimal pour l'entreprise
right triangle, maximal area for fixed perimetre and one side.
maximal area of isoceles triangle with fixed perimeter.

Classification:

-0 numerical applications
 01 sum/product
-1 distances
 10 point/curve
-2 geometry
 20 linear

-3 real life

-4 physical

