Company A is running a dancing course that costs $5000 per offering, regardless of class size. The demand rate for this course is constant at 5 students per month. To motivate students to join the course, Company A promises to pay each student $100 /week if they are able to graduate with a certificate. Find the duration of the course (in weeks). Round your answer to nearest integer. Hint: You need to trade off the fixed cost of offering the dancing course with the variable cost of paying the students upon completion. Assume 52 weeks per year