A small high-quality sports equipment manufacturer makes two types of golf ball, Distance (D) and Control (C). The balls are manufactured in batches, and each batch of Distance yields $400 profit compared to $200 per batch of Control. The maximum daily demand is for 90 batches of Distance, and 150 batches of Control. The balls are made using three separate processes: making the core; adding a middle layer; and coating. There is one machine for making the core, one machine for adding the middle layer, and three machines for the (relatively slow) coating process. Both types of batch require 3 minutes to make the core. Adding the middle layer takes 6 minutes per batch of Distance and only 2 minutes for batches of Control. The final process, coating, takes 15 minutes per batch of Distance and 9 minutes per batch of Control. The company operates 10-hour manufacturing processes. Formulate a linear programming model for this problem and solve it using the graphical method. You must upload a single file (Word, Excel, PDF, JPEG etc.). Your file should contain the following information: LP model where decision variables are clearly identified, a graph showing all constraints with feasible region clearly identified and a table showing all extreme corners in the feasible region with optimal solution.