Work scheduling problem

A post office requires different numbers of full-time employees on different days of the week. The number of full-time employees required on each day is given by the following table:
  Number of full-time employees required
Day 1 = Monday 17
Day 2 = Tuesday 13
Day 3 = Wednesday 15
Day 4 = Thursday 19
Day 5 = Friday 14
Day 6 = Saturday 16
Day 7 = Sunday 11

Union rules state that each full-time employee must work five consecutive days and then receive two days off. For example, an employee who works Monday to Friday must be off on Saturday and Sunday. The post office wants to meet its daily requirements using only full-time employees. Formulate an LP that the post office can use to minimize the number of full-time employees that must be hired.