a) Amanufacturing company makes two models A and B of a product. Each piece of model A requires 9 labor hours for fabricating and 1 labor hour for finishing. Each piece of model B requires 12 labor hours for finishing and 3 labor hours for finishing. For fabricating and finishing, the maximum labor hours available are: 180 and 30 respectively. The company makes a profit of Rs. 8000 on each piece of model A and Rs. 12000 on each piece of model B. How many pieces of model A and model B should be manufactured per week to realize a maximum profit? What is the maximum profit per week? (Kx+1, ifx