Samantha Jones has $10,000 that she wants to use to buy two types of shares -Per, Inc. and Mope, Inc. Each unit share of Per, Inc. costs $50 and profit is $5 per unit. On the other hand, each unit share of Mope, Inc. costs $100 and profit is $15 per unit. While Samantha wants to maximize her profit, she has to make sure that she buys at least 10 units of Per, Inc. and no more than 100 units of Mope, Inc . Moreover, for each share of Per, Inc. she has to buy at least two unit of Mope, Inc. How many of each type of share Samantha should buy?