Given: The Brazilian Steakhouse is open from 11 AM 9 PM. Part-time workers are scheduled for
Question:
Given: The Brazilian Steakhouse is open from 11 AM – 9 PM. Part-time workers are scheduled for 5-hour shifts with no breaks. The following start times for part-time workers are possible: 11 AM, 12 PM, 1 PM, 2 PM, 3 PM, 4 PM. Part-time workers are paid $10/hour. Full-time workers could start at 11 AM or 12 PM and work 4 hours, take an unpaid 1-hour break and work 4 more hours. Full-time workers are paid $15/hour.
Your objective is to find the mix of employees to minimize total daily labor cost. However, management also specified that the total number of part-time workers must be no more 55% of the total number of full-time workers. Also, management specified that all variables must be integer values.
We need the following minimum number of employees each hour:
Time | Min. Number of Employees Needed |
11-12 | 20 |
12-1 | 9 |
1-2 | 9 |
2-3 | 3 |
3-4 | 3 |
4-5 | 3 |
5-6 | 20 |
6-7 | 22 |
7-8 | 16 |
8-9 | 5 |
Formulate the model in your Word document using the headings listed below. You should create a table to develop your constraints.
Decision Variables:
Objective Function:
Constraints:
Additional Work for Constraints: