Applied Optimization

  1. $\rhd$ Minimizing sum of squares (7:34) What is the smallest possible sum of squares of two numbers, if their produce is $-16$?
  2. $\rhd$ Box volume I (9:49) If you are making a box out of a flat piece of cardboard, how do you maximize the volume of that box?
  3. $\rhd$ Box volume II (8:59) Continuation of the previous problem.
  4. $\rhd$ Profit (11:26) Maximizing profits.
  5. $\rhd$ Cost of materials (12:39) Find the cost of the material for the cheapest rectangular storage container.