The Printer Problem: A page that is x inches wide and y inches high contains $30$ square inches of print. The margins at the top and the bottom are $2$ inches deep and the margins on each side are $1$ inch wide.

a$)$ The area of the paper is A $=$ xy $.$ Find the area equation of the paper in terms of x$.($Hint: Get a second equation for y in terms of x using the area of the printed space.$)$

b$)$ Determine the practical domain for the function that represents the area of the paper.

c$)$ Find the dimensions of the page that will minimize the amount of paper used.