The 'constraint' equation is used to solve for one of the variables. One equation is a 'constraint' equation and the other is the 'optimization' equation.
Experience will show you that MOST optimization problems will begin with two equations. Clearly denote that equation which you are asked to maximize or minimize. Write down all equations which are related to your problem or diagram. This step is very important because it leads directly or indirectly to the creation of mathematical equations.Ĥ. Define variables to be used and carefully label your picture or diagram with these variables. Pictures are a great help in organizing and sorting out your thoughts.ģ. If appropriate, draw a sketch or diagram of the problem to be solved. If you misread the problem or hurry through it, you have NO chance of solving it correctly.Ģ. It is imperative to know exactly what the problem is asking. Read the problem at least three times before trying to solve it. However, if you are patient you can minimize your anxiety and maximize your success with these problems by following these guidelines : Many students find these problems intimidating because they are 'word' problems, and because there does not appear to be a pattern to these problems. They illustrate one of the most important applications of the first derivative. The following problems are maximum/minimum optimization problems.