Question No.4: [LO5] [2Marks] 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-served priority rule. On average, 15 students per hour arrive at the help desk. Student arrivals are best described using a Poisson distribution. The help desk server can help an average of 20 students per hour, with the service rate being described by an 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.5: [LO6][2 Marks] Tata Company manufacturesToyota 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? Question No.1: [LO4][2Marks] There are four machines and four jobs are to be assigned and the associated cost matrix is follows. Find the proper assignment. Question No.2: [LO5][1Mark] How much population is increased from one decade to the other decade from the given table? Also find the forecasts for next three decades. (Population Forecasting Method). Question No.3: [LO5][2Marks] Based on the following Pay off matrix (Profit matrix) Lascuate i) Maximax Criterion ii) Maximin Criterion iii) Minimax Regret Criterion iv) Laplace Criterion v) Hurwicz Criterion Question No.4: [LO5] [2Marks] 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-served priority rule. On average, 15 students per hour arrive at the help desk. Student arrivals are best described using a Poisson distribution. The help desk server can help an average of 20 students per hour, with the service rate being described by an 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.5: [LO6][2 Marks] Tata Company manufacturesToyota 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? Question No.1: [LO4][2Marks] There are four machines and four jobs are to be assigned and the associated cost matrix is follows. Find the proper assignment. Question No.2: [LO5][1Mark] How much population is increased from one decade to the other decade from the given table? Also find the forecasts for next three decades. (Population Forecasting Method). Question No.3: [LO5][2Marks] Based on the following Pay off matrix (Profit matrix) Lascuate i) Maximax Criterion ii) Maximin Criterion iii) Minimax Regret Criterion iv) Laplace Criterion v) Hurwicz Criterion
