A poster is to contain 108 square cm of printed matter, with margins of 6 cm at the top and bottom, and 2 cm on the sides. What dimensions minimize the total area of the poster. Please show all steps listed in the attachment.

Here are the steps for solving an Optimization Problem: a) Draw a diagram and define variables. b) Determine the constraint equation. c) Determine the quantity that needs to be optimized and find an equation that represents that quantity in terms of your variables. a) 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 o since you will not have negative answers. g) Use your calculator to find the absolute max or absolute min point. h) Answer the original question and don't forget to include units