A poster is to contain 108cm^2 of printed matter, with margins of 6cm at the top and bottom and 2cm on the sides. What is the minimum cost of the poster if it is to be made of material costing 20cents/cm^2?

NOTE: Draw a rectangle figure and let x denote the horizontal dimension of the printed matter and y the vertical dimension. The find a formula involving x and y for the area of the poster. You need to minimize the area. Then write a formula involving x and y for the cost of material for the poster.

Question

A poster is to contain 108cm^2 of printed matter, with margins of 6cm at the top and bottom and 2cm on the sides. What is the minimum cost of the poster if it is to be made of material costing 20cents/cm^2?

NOTE: Draw a rectangle figure and let x denote the horizontal dimension of the printed matter and y  the vertical dimension. The find a formula involving x and y for the area of the poster. You need to minimize the area. Then write a formula involving x and y for the cost  of material for the poster.