To have enough staff to help on the day of promoting the new membership card, the manager is required to develop a work schedule for full time and part time staff. You have advised the manager to use an OR model to determine the optimal schedule for the staff. Information related to the schedule are given as below:
Event starts from 11am to 9pm.
Each full-time staff starts on the hour and works a 3-hour shift, followed by 1 hour for lunch and then another 3-hour shift.
Minimum full-time staff required is 3.
At least one full-time staff on duty at all times.
$80 per hour for the full-time staff, and $50 per hour for part-time staff.
You are considering request the part-time staff to work either for 3-hour, 4-hour shift or combination of both working shift.
Formulate and determine an optimal schedule for the staff. To answer this, you are required to consider the minimum number of members required in each hour. You are required to illustrate your optimal schedule in an appropriate diagram.