2. The G&M Company wants to produce two type product; type1, type2. The sale price is 5$ for type1 and 10$ for type2. These products are produced using same component in different rates. The amount of component that used for two type of products, is limited with 30 unit. The usage rates for type and type2 are 2 unit and 5 unit respectively. Furthermore, the workforce is limited with 10 hours with same rate for two type product. The production cost is 45 for type1 and 8$ for type2. The company wants to maximize its profit. Formulate an IP model and solve this problem by using branch and bound method. In first branches, you must use only simplex method. For the others, you can use GAMS