A billboard designer has decided that a sign should have 3-f…

A billboard designer has decided that a sign should have 3-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 700 ft (including the margins). If denotes the width (in feet) of the billboard, find a function in the variable giving the area of the printed region of the billboard.

A rectangular box with no top is to have a square base and a…

A rectangular box with no top is to have a square base and a volume of 10 ft. The material for the base costs 19 cents/ft and the material for the sides costs 12 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.