Could someone please help me with what I am doing wrong with this optimization problem?...
A rancher wants to fence in an area of 2000000
square feet in a rectangular field and then
divide it in half with a fence down the middle
parallel to one side. What is the shortest
length of fence that the rancher can use?
Any help is appreciated! I was following along with this example:
2000000 = ab ---> b = 2000000/a
L = 3a + 2b = 3a + 4000000/a
0 = L' = 3 - 4000000 / a^2
a = 3651.48ft
b = 4000000/ 3651.48 = 1095.45ft
Lmin = 3(3651.48) + 2(1095.45) =!? 13145.3ft