An educational institution is planning to offer a new online course during pandemic. License fees for an online-conferencing program (such as zoom) is a one-time payment of $3,500 regardless of the class size. For the first 20 students, it costs $100 per student to pay for online storage and processing fees. Per student cost decreases to $50 per student when the student number exceeds 20 (for example, if the number of students in class is 25, then the total cost would be:= 3,500 + 100*20 + 50*5). Educational institution receives $200 from each student that is registered for the course. Answer the following: 1. a) [5] If the number of students is 27, what is the average cost? 2. b) [5] When does the break-even point occur? 3. c) [5] What is the total profit of the educational institution if 150 students register for the class