Homework due 01/30/09

Do problems 11 and 17 on page 203.

Tips for Optimization Problems:

1. (a) Write down all that you know about a particular situation. This includes equations you can form and the constants and variables involved.

(b) Sketch any diagrams that help establish the way in which the quantities are related.

2. Figure out what quantity you are trying to maximize or minimize.

3. Find a function for this quantity in terms of the variables involved. In the case of more than one variable, try and express the functions in terms of only one variable through substitution.

4. Consider a reasonable domain for your function given the context of the problem. Check end behavior given the domain.

5. Find all Critical Points.