Please answer these two questions

Question No.5: [LO5] [2 marks] The computer lab at State University has a help desk to assist students working on computer spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help. Students are served based on a first-come, first- students per hour arrive at the help desk. Student 15served priority rule. On average, arrivals are best described using a Poisson distribution. The help desk server can students per hour, with the service rate being described by an 20help an average of exponential distribution. Calculate the following operating characteristics of the service system. (a) The average utilization of the help desk server (b) The average number of students in the system (c) The average number of students waiting in line (d) The average time a student spends in the system (e) The average time a student spends waiting in line Question No.6: [LO6][2 Marks] Tata Company manufactures Toyota cars. It produces 250 cars a month. It buys the tires for cars from a supplier at a cost of 35 R.O per tire. The Company's inventory carrying cost is estimated to be 15% of cost and the ordering cost is 45 R.O per order. 1. Calculate the EOQ 2. What is the number of orders per year? 3. Compute the average annual ordering cost? 4. Compute the average inventory? 5. What is the average annual carrying cost? 6. Compute the total cost