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:

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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:

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