show work please

Problem 2. Set up the objective function and constrain equations and solve graphically the following linear programing problem. Pat Inc. is a small manufacturing of golf equipment producing Standard bag and Deluxe bag. Each golf bag require the following operations: 1. Cutting and dying the material time: Standard bags: 1 hour Delux bag 1.2 hour. 2. Sewing times Standard bags: 0.5 hours Delux bag 0.6 hours. 3. Finishing times Standard bags: 0.8 hours Delux bag 0.8 hours. 4. Inspection and Packaging Standard bags: 0.12 hours Deluxe bag 0.4 hours 1. Cutting and dying the material time: Standard bags: 1 hour Delux bag 1.2 hour. 2. Sewing times Standard bags: 0.5 hours Delux bag 0.6 hours. 3. Finishing times Standard bags: 0.8 hours Delux bag 0.8 hours. 4. Inspection and Packaging Standard bags: 0.12 hours Deluxe bag 0.4 hours Par, Inc.'s production is constrained by a limited number of hours available in each department. The director of manufacturing estimates that 630 hours for cutting and dyeing, 600 hours for sewing, 708 hours for finishing, and 135 hours for inspection and packaging will be available for the production of golf bags during the next three months. If Par, Inc. makes $12 for every standard bag and $10 for Deluxe bag. If Par, Inc. wants to maximize profit, with limed hours, how many Standard bag and Deluxe bags they need to produce? (use graphical solution)