Q1) A company needs to rent the proper machinery to manufacture three types of products P1,P2, and P3, at the following weekly costs: $100 for P1,$250 for P2 and $150 for P3. The manufacture of the products requires two different raw materials. Weekly availability of raw material 1 and 2 are 250kg and 360kg respectively. The unit raw material requirement, the unit cost and selling price for each type of product are given in the Table below. Formulate a mathematical programming model to maximize the company's weekly profits. Q1) A company needs to rent the proper machinery to manufacture three types of products P1,P2, and P3, at the following weekly costs: $100 for P1,$250 for P2 and $150 for P3. The manufacture of the products requires two different raw materials. Weekly availability of raw material 1 and 2 are 250kg and 360kg respectively. The unit raw material requirement, the unit cost and selling price for each type of product are given in the Table below. Formulate a mathematical programming model to maximize the company's weekly profits