Boeing Commercial Airplane Company is looking to manufacture 10 new aircrafts. They have decided to manufacture Boeing 737 and Boeing 777 aircrafts. However they have only $120,000,000 to spend. While each Boeing 777 costs $20,000,000, each Boeing 737 costs $10,000,000. Also Boeing has to complete the manufacturing process within 6 months. It takes 12 days to manufacture a Boeing 737 while 2 months to manufacture a Boeing 777. If the profit is $5000000 for each Boeing 777 and $3000000 for each Boeing 737, calculate the optimal mix.