Please give a complete answer with calculation

Question 4 The dental clinic would like to prepare a schedule for the dentist to serve the customer who randomly walks into the clinic. The working policy of the clinic is all the dentists are full-time employee and must work any four consecutive days per week, Monday to Saturday. Each dentist working hour per day is 8 hours. The clinic has analysed each customer is required on average 30 minutes of the treatment time. Based on the historical data, the average number of customer visits to the clinic is as below. Day Number of customers Monday Tuesday Wednesday Thursday Friday Saturday Total 40 48 30 32 46 64 260 a) What is the minimum number of dentists required in a week (from Monday to Friday)? (3 Marks) b) Use the work-shift-heuristic procedure to develop a weekly work-shift schedule for the dentist. (9 Marks) c) How many dentists work shift of slack per week are present in your proposed schedule? How could this slack be avoided? Is your schedule optimal