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Wal-Mart, a discount store chain, has completed its new store in Rock Springs, Maryland. The 150,000 square foot store operates seven days per week and requires the following number of full-time employees working each day of the week.
Number of Employees
Sunday
47
Monday
22
Tuesday
28
Wednesday
35
Thursday
34
Friday
43
Saturday
53
Each employee must work five consecutive days each week and then has two days off. For example, any employee who works Sunday through Thursday has Friday and Saturday off. The store currently has a total of 60 employees available to work. Wal-Mart has developed the following prioritized goals for employee scheduling:
a. Formulate a linear goal programming model to determine the number of employees who should begin their five-day workweek each day of the week in order to achieve the store's objectives.
b. Determine the solution that will best achieve the company's goals in employee scheduling. Interpret the solution results including the levels of goal achievement.
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