Q2. A manufacturer produces four products, A,B,C, and D, by using two types of machines (lathes and milling machines). The times required on the two machines to manufacture 1 unit of each of the four products, the profit per unit of the product, and the total time available on the two types of machines per day are given below. (a) Formulate LP problem (b) Solve using the simplex algorithm (c) Find the effect of changing the total time available per day on the two machines from 1000 and 700min to 1500 and 1000min