4,000,000 carats of CVD jewelry diamonds were produced in year 2022. Company A plans to capture 100,000 carats in market size with each produced raw stone in weight of 2 carat before polishing. For each CVD machine, 50 seeds in size of 5mm5mm are placed inside the machine and it takes 14 days for each seed to grow to 2 carats. How many CVD machines are needed to produce 100,000 cts in a year (assume each machine runs 24/7, with 8 hrs between each production for cleaning and inspection). Create a monthly Master Production Schedule for a 12- month production period of 100,000 cts with each raw stone in 2 cts.