What is optimization?
a real function by systematically choosing input values from
within an allowed set and computing the absolute value of the function"
basically a way to get the best answer
"an optimization problem consists of maximizing or minimizing
over a given interval... i.e. lowest cost or highest profit
The first people who started doing optimization
were the greeks!
Pierre de Fermat and
found calculus-based formulas for identifying optima
and Carl Friedrich Gauss
proposed iterative methods
for moving towards an optimum.
STEPS FOR DOING OPTIMIZATION:
1. Draaaaw uh pic and label
2. Make the equation and the constraints
3. Solve the constraint equation. Duh.
and substitute it into the optimization eq.
4. Find critical pts. using 1st deriv!
5. Determine MIN/MAX values cuhhhh
6. Put it ALL togethaaaa and solve dat ish!
Uh man needz 2 make uh fence 4 hiz backyard.
He only needz 3 sides cuz dah house covers 1 side
6 hunnid feet of fencing is given cuuuh.
find dah total dimensions dat will maximize dat aaaaaaa-rea