Please show steps and graph

ForeTech is a sporting equipment manufacturer that produces two different types of golf balls, the DriveMaster and the GreenHunter. The golf balls are manufactured in batches; each batch of the DriveMaster yields $10 profit, while each batch of the GreenHunter yields $6 profit. The golf balls are made using three separate processes: making the core of the ball, adding the middle layers, and coating with a synthetic resin. There is one machine for making the core and one for adding the middle layers; three machines are available for the coating process. Each machine can be operated for 10 hours per day. Both types of golf balls require 3 minutes per batch to make the core. Adding the middle layers takes 6 minutes per batch for the DriveMaster, but only 2 minutes per batch for the GreenHunter. The coating process takes 12 minutes per batch of DriveMaster and 9 minutes per batch of GreenHunter. Formulate a linear programming model to determine the optimal number of batches of each type of golf ball that ForeTech should produce, with the goal of maximizing profit. Solve the LP using the graphical solution method