Green Food Company Green Food Company will open a plant-based food & salad canteen in Central Department Store at the beginning of October. Mr. Smith, the operations manager, has a lot of working experiences in this business. He forecasts that most customers will come during lunch time and dinner time but on average there will be 80 customers per hour coming to the canteen (Poisson distribution). Mr. Smith is planning to hire one cashier to sell food coupons to the customers. There are three applicants: Ms. Rose, Ms. Lily, and Ms. Susan. Below is the information of each applicant. 1. Ms. Rose: She can serve 90 customers per hour (exponential distribution) and asks for the wage of $10 per hour. 2. Ms. Lily: She can serve 95 customers per hour (exponential distribution) and asks for the wage of $12 per hour. 3. Ms. Susan: She can serve 100 customers per hour (exponential distribution) and asks for the wage of $15 per hour. Besides considering the wage, Mr. Smith makes sure that the service utilization (P) must not be more than 80% and the average number of customers in the queue must not be more than 5. a. Based on the above criteria; use the excel template in chapter 7 to find which applicant should be recruited. (1 mark) In the near future, if Mr. Smith uses an automated machine instead of a cashier to sell food coupons. Suppose he has only one criterion which is the average number of customers in the queue must not be more than 5. b. Calculate the minimum service rate () that the automated machine will provide. (2 marks) Since Thai customers are becoming health conscious, Mr. Smith is afraid that the arrival rate during lunch time and dinner time may be much higher than 80 customers per hour. This will create a very long waiting line. c. If you were Mr. Smith, propose 3 activities (besides increasing number of cashiers or machines) that you can prevent the very long queue from occurring. Briefly explain your ideas. (2 marks)