In: Advanced Math
2) A drug lord wishes to optimize the area in which he will grow his coca plants. The area concerned has a river on one side and must be closed in with fencing on the other three sides. He has 500ft of fencing. Determine the dimensions of the field that will maximize the area. Show that this is indeed a maximum.
3) The drug lord is now in jail. He requests that there be a window
with a semicircular top in his cell that lets in the most amount of
light possible. If there are 20m of framing material available,
what are the dimensions of the window? Again, show that this is
indeed a maximum.