A nursing home employs attendants who are needed around the clock. Each attendan

Question

A nursing home employs attendants who are needed around the clock. Each attendant is paid the same, regardless of when his or her shift begins. Each shift is 8 consecutive hours. Shilft begin at 6 a.m., 10 am, 2 pm, 6 pm, 10 pm and 2 am. The following table shows the nursing home's requirementss for the numbers of attendants to be on duty during specific time periods

a) what is the minimum number of attandants needed to satisfy the nursing home's requirements?

b) The nursing home would like to use the same number of attendants determined in part (a) but would now like to minimize the total salary paid. Attendants are paid $16 per hour during 8am-8pm, and a 25% premium per hour during 8pm- 8am. How should the attandants now be scheduled?

SHIFT TIME NUMBER OF ATTENDANTS

A 2-6 A.M. 8
B 6-10 A.M. 27
C 10 A.M.-2 P.M. 12
D 2-6 p.M. 23
E 6-10 P.M. 29
F 10-2 A.M. 23

Explanation / Answer

State regulations for skilled nursing facilities require:

There are minimum requirements outlined in regulation related to fire safety and protective oversight. The regulations are as follows:

19 CSR 30-85.022 (41)(A)
(41) Minimum staffing for safety and protective oversight to residents shall be-
(A) In a fire-resistant or sprinklered building-

Personnel

Residents

7 a.m. to 3 p.m.

1

3-10* (Day)

3 p.m. to 11 p.m.

1

3-15* (Evening)

11 p.m. to 7 a.m.

1

3-20* (Night)

(B) In a non fire-resistant, non sprinklered building

Time

Personnel

Residents

7 a.m. to 3 p.m.

1

3-10* (Day)

3 p.m. to 11 p.m.

1

3-15* (Evening)

11 p.m. to 7 a.m.

1

3-20* (Night)

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