Given: The Steakhouse is open from 11 AM 9 PM. Part-time workers are scheduled for 3-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, 5 PM, & 6 PM. Part-time workers are paid $12/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 workers to minimize total daily labor cost. However, management also specified that the total number of part-time workers must be at least twice the 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:

You should create a table to develop your constraints.

Decision Variables:

Objective Function:

Constraints:

Additional Work for Objective Function

Additional Work for Constraints

Time 11-12 12-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 Min. Number of Workers Needed 35 45 48 20 20 38 52 50 20 10