Suppose a shoe factory produce both low grade and high grade shoes. The factory produces at least twice as many low grade as highgrade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high garde pairs of shoes per day. Suppose the operation makes a profit of birr 2.00 per a pair of shoes on high grade shoes and birr 1.00 per pairs of shoes on low grade shoes. How many pairs of shoes of each type should be produced for maximum profit?