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Operations Management
Weekday Work Schedule Servers Start Time End Time 10:30 AM 2:00 PM 11:00 AM 3:00 PM 12:00 PM 4:00 PM 4:00 PM 5:00 PM 6:00 PM 8:00 PM 9:00 PM 10:30 PM Hours Worked Employees 11:00 4 1 4 4 3.5 4 4 4 4 4.5 Employees Scheduled Employees Needed Surplus or (Shortage) Total Hours 4 4 4 24 10:30 11:00 - 12:00- 1:00-2:00-3:00-4:00-5:00- 6:00-7:00- 12:00 1:00 2:00 3:00 4:00 5:00 6:00 96.00 0 0 0 0 0 4 2 2 1 1 0 0 0 0 8 6 2 1 1 1 0 0 0 12 12 0 1 1 1 0 0 0 12 10 2 0 1 1 0 0 0 8 3 5 0 0 1 0 0 0 4 2 2 0 0 0 1 0 0 4 3 1 0 0 0 1 1 0 8 00 8 0 00 8:00 - 9:00- 7:00 8:00 9:00 10:00 0 0 0 1 1 1 12 12 0 0 0 0 1 1 1 12 12 0 0 0 0 0 1 1 8 00 10 -2 0 0 0 0 1 4 3 1 10:00- 10:30 0 0 0 0 0 1 4 2 2

Weekday Work Schedule Servers Start Time End Time 10:30 AM 2:00 PM 11:00 AM 3:00 PM 12:00 PM 4:00 PM 4:00 PM 5:00 PM 6:00 PM 8:00 PM 9:00 PM 10:30 PM Hours Worked Employees 11:00 4 1 4 4 3.5 4 4 4 4 4.5 Employees Scheduled Employees Needed Surplus or (Shortage) Total Hours 4 4 4 24 10:30 11:00 - 12:00- 1:00-2:00-3:00-4:00-5:00- 6:00-7:00- 12:00 1:00 2:00 3:00 4:00 5:00 6:00 96.00 0 0 0 0 0 4 2 2 1 1 0 0 0 0 8 6 2 1 1 1 0 0 0 12 12 0 1 1 1 0 0 0 12 10 2 0 1 1 0 0 0 8 3 5 0 0 1 0 0 0 4 2 2 0 0 0 1 0 0 4 3 1 0 0 0 1 1 0 8 00 8 0 00 8:00 - 9:00- 7:00 8:00 9:00 10:00 0 0 0 1 1 1 12 12 0 0 0 0 1 1 1 12 12 0 0 0 0 0 1 1 8 00 10 -2 0 0 0 0 1 4 3 1 10:00- 10:30 0 0 0 0 0 1 4 2 2

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Weekday Work Schedule Servers Hours Start Time End Time Worked Employees 11:00 12:00 10:30 AM 3.5 4 1 11:00 AM 4 4 1 12:00 PM 4 4 4:00 PM 4 4 4 4 5:00 PM 6:00 PM 4.5 4 2:00 PM 3:00 PM 4:00 PM 8:00 PM 9:00 PM 10:30 PM Employees Scheduled Employees Needed Surplus or (Shortage) Total Hours 24 96.00 10:30 11:00 12:00 1:00 2:00 3:00 1:00 2:00 3:00 4:00 1 0 0 0 0 0 4 2 2 0 0 0 0 8 6 2 1 1 1 0 0 0 12 12 0 1 1 1 0 0 0 12 10 2 0 1 1 0 0 0 8 3 5 0 0 1 0 0 0 4 2 2 4:00-5:00- 6:00-7:00- 8:00 - 9:00- 7:00 8:00 9:00 10:00 5:00 6:00 0 0 0 0 0 0 1 1 1 0 0 0 4 3 1 8 8 0 0 0 0 1 1 1 12 12 0 0 0 0 1 1 1 12 12 0 0 0 0 0 1 1 8 10 -2 0 0 0 0 0 1 4 3 1 10:00 - 10:30 0 0 0 0 0 1 4 2 2
Transcribed Image Text:Weekday Work Schedule Servers Hours Start Time End Time Worked Employees 11:00 12:00 10:30 AM 3.5 4 1 11:00 AM 4 4 1 12:00 PM 4 4 4:00 PM 4 4 4 4 5:00 PM 6:00 PM 4.5 4 2:00 PM 3:00 PM 4:00 PM 8:00 PM 9:00 PM 10:30 PM Employees Scheduled Employees Needed Surplus or (Shortage) Total Hours 24 96.00 10:30 11:00 12:00 1:00 2:00 3:00 1:00 2:00 3:00 4:00 1 0 0 0 0 0 4 2 2 0 0 0 0 8 6 2 1 1 1 0 0 0 12 12 0 1 1 1 0 0 0 12 10 2 0 1 1 0 0 0 8 3 5 0 0 1 0 0 0 4 2 2 4:00-5:00- 6:00-7:00- 8:00 - 9:00- 7:00 8:00 9:00 10:00 5:00 6:00 0 0 0 0 0 0 1 1 1 0 0 0 4 3 1 8 8 0 0 0 0 1 1 1 12 12 0 0 0 0 1 1 1 12 12 0 0 0 0 0 1 1 8 10 -2 0 0 0 0 0 1 4 3 1 10:00 - 10:30 0 0 0 0 0 1 4 2 2
2. Be sure that Solver is installed. 3. Use Solver to determine the optimum schedule for part-time servers for the weekday schedule at the Raleigh, North Carolina restaurant. 4. Solver for Option 1, in which you want the objective (Cell D16) to have the minimum (Min) number of employees scheduled by changing the number of employees (D4:D9). Make sure to add the constraints below: a. The first constraint is to be sure that you have enough (>=) employees (E11:Q11) to meet expected demand (E13:Q13) b. The second constraint is to be sure that only whole numbers are used for the Employees (D4:D9) (because you cannot schedule part of a person to work). Solver Parameters Set Objective: OMKX By Changing Variable Cells: SD$4:$D$9 To: Subject to the Constraints: SD$4:$D$9 integer SE$11:$Q$11 >= $E$13:$QS13 Min Total Hours Value Of: Add Change Delete
Transcribed Image Text:2. Be sure that Solver is installed. 3. Use Solver to determine the optimum schedule for part-time servers for the weekday schedule at the Raleigh, North Carolina restaurant. 4. Solver for Option 1, in which you want the objective (Cell D16) to have the minimum (Min) number of employees scheduled by changing the number of employees (D4:D9). Make sure to add the constraints below: a. The first constraint is to be sure that you have enough (>=) employees (E11:Q11) to meet expected demand (E13:Q13) b. The second constraint is to be sure that only whole numbers are used for the Employees (D4:D9) (because you cannot schedule part of a person to work). Solver Parameters Set Objective: OMKX By Changing Variable Cells: SD$4:$D$9 To: Subject to the Constraints: SD$4:$D$9 integer SE$11:$Q$11 >= $E$13:$QS13 Min Total Hours Value Of: Add Change Delete
Expert Solution
Step 1

Develop  a spreadsheet as shown below and use excel solver to find the optimal schedule of employees. 

Note that the given results are not optimal. It is because in the given solution, 24 employees have to work for 96 hours while the derived solution makes the schedule for 98 hours. THis is because the given solution has not met the requirements completely. It can be noticed that at 8:00 - 9:00 schedule there is a shortage.

The optimal solution is shown as below.

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