Here are the steps for solving an Optimization Problem: 61) Draw a diagram and dene variables. 10) Determine the constraint equation. c) Determine the quantity that needs to be optimized and nd an equation that represents that quantity in terms of your variables. d} Use your constraint equation to write the equation from part c in terms of only one variable. e} Graph the equation on your calculator. f} Determine a window that will allow you to see the absolute max or min. Remember both x min and y min should be 0 since you will not have negative answers. g) Use your calculator to nd the absolute max or absolute min point. m Answer the original question and don't forget to include units. Now try this similar problem: 1. A rectangular dog pen is to be constructed so that one side is against an existing stone wall and the other three sides are to be fenced. If 500 feet of fence is to be used, determine the dimensions and area of the pen with maximum area