A local farm provides two different types of composts that generate $200/unit in profit. They use two different types of fertilizer Type A & Type B which are mixed to make the two different composting products. To make one unit of Compost X, 2 parts of Type A and 1 part of Type B are needed to be mixed. To make one unit of Compost Y, 1 part of Type A and 3 parts of Type B are needed to be mixed. Material A you have 200 units available and Material B you have 300 units available. 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.

Material A you have 200 units available and Material B you have 300 units available.