Borough of Manhattan Community College MAT 3&1 Calculus I Homework Assignment: Optimization 1. A rectangular page is to contain 36 square inches of print. The margins of each side are 1 % inches. Find the dimensions of the page that the least amount of paper is used. 2. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 245,000 square meters in order to provide enough grass for the herd. 1|What dimensions will require the least amount of fencing if no fencing is needed along the river? 3. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are to he 1 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the page he so that the least amount of paper is used