A local farm provides two different types of composts that generate $200/unit in profit. They use two different types of fertilizer A & Type B which are mixed to make the two different composting products. To make one unit of Compost X, 2 parts of A and 1 part of Type B are needed to be mixed. To make one unit of Compost Y, 1 part of A and 3 parts of Type B are needed to be mixed. If each unit is produced and sold, determine the maximum profit achieved and how many of each product should be sold to achieve this profit. There are 100lbs available for Material A and 60lbs available for Material