A company is trying to maximize its profit on the sale of items A, B, and C. They make a profit of 24 dollars on each item of type A, 10 dollars on each item of type B, and $20 on each item of type C. Each product requires polishing and assembling time. Type A items requre 4 minutes of polishing, type B items require 3 minutes of polishing, and type C items require 5 minutes of polishing. Type A items use 2 minutes of assembly time, and types B and C items each use 1 minute of assembly time. There are 534 minutes of polishing time and 360 minutes of assembly time available. The company must produce at least 60 items of type A and 78 items of type B. What is the maximum profit?