The top and bottom margins of a poster are 2 ft and the side margins are each 4 ft. If the area of printed material on the poster is fixed at 382 square ft, find the dimensions of the poster with the smallest area.
Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y.
a(x, y) =
Find the total area of this poster.
Find y as a function of x, using the given value of the area of the printed material.
Rewrite the total area of this poster as a function of x.
Find the derivative of the total area of this poster as a function of x.
Find the x and y values that minimize the total area of the poster.
Find the dimensions of the poster with the smallest area.
