2. Three high precision products are manufactured by a Hi-Tech Machine Tools Company. All the products must undergo process through three machining centers A, B and C. The machine hours required per unit are, The available time in machine hours per week is It is estimated that the unit profits of the product are a) Formulate the problem as LPP. b) Solve the problem to determine the optimal solution. What is the number of units to be made on each product? c) Does machining center C has any extra time to spare? If so, how much spare time is available? d) If additional 10 machine hours are available with machining center A, then what is the optimal product mix? What is the change in the value of profit