Introduction to Optimization Problems Practice Test

Maximize the area of the rectangle, $A=LW$, subject to $2L+2W=200$.

Maximize the perimeter of the rectangle, $P=2L+2W$, subject to $LW$ fixed.

Minimize the perimeter of the rectangle, $P=2L+2W$, subject to $2L+2W=200$.

Maximize the diagonal length, $d=\sqrt{L^2+W^2}$, subject to $2L+2W=200$.

Minimize the area of the rectangle, $A=LW$, subject to $2L+2W=200$.