Tasty Eateries is a restaurant that is open 24 hours a day. Restaurant employees report for work at 2 a.m., 6 a.m., 10 a.m., 2 p.m., 6 p.m., and 10 p.m. The employees work on eight-hour shifts, and the following table shows the minimum number of employees needed for each of the six time intervals:

Formulate a linear programming model that will minimize the number of employees needed for the restaurant while meeting the minimum requirements of employees for each of the four-hour time intervals.

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Minimum Number of Employees Required Time Interval 2 A.M.-6 A.M. 6 A.M.-10 A.M. 10 A.М.-2 Р.м. 4 10 16 2 P.M.-6 P.M. 11 6 P.M.-10 P.M. 10 P.M.-2 A.M. 14