A company produces two products on two machines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, a unit requires 1 hour on machine 1 and 3 hours on machine 2. The revenues per unit of products 1 and 2 are $30 and $20, respectively. The total daily processing time available for each machine is 8 hours. Letting 1 and 2 represent the daily number of units of products 1 and 2 respectively, (a)Construct the LP model to maximize profit. AN [ 5 ] (b) Obtain the optimum solution graphically by determining the number of units of each product to be produced in order to maximize the profit and at what value. AN [ 6 ] (c) If management decides to increase the daily capacity of machine 1 from 8 hours to 9 hours, locate the new optimum point. Compute the dual price. AP [ 7 ] (d) Deduce the feasibility range for machine 1.