Linear Programming: A tailor has 100 square yards of cotton and 120 square yards of wool material. it takes 2 square yards of each type to make a sports coat. It takes 1 square yard of cotton and 3 square yards of wool to make a pleated skirt. The tailor already has orders for at least 15 sport coats and 5 skirts. If the tailor sells each coat for $40 and each skirt for $45, how many of each garment should be made in order to fill the orders and maximize profit. (Please show work and graph)