Measurement and Calculation

11. Parley's Nursing Home has 40 residents and a total of 10 practical nurses assigned to the facility. The caregiving ratio is 1 nurse to 8 clients (1:8). Regular staff members are paid $25,000 fortnightly for a 40-hour work week and $500 per hour for overtime. Using these guidelines, determine:

a. How many practical nurses would be required for each shift. (2 marks)

b. How many 12-hour shift days per month each nurse should be assigned. (2 marks)

c. The monthly salary for each practical nurse working 12 hours overtime per week.

a. To determine how many practical nurses would be required for each shift, we need to calculate the number of shifts needed to cover all residents with the given caregiving ratio.

Number of residents per nurse = 1:8

Number of nurses needed per shift = Total number of residents / Number of residents per nurse

Number of nurses needed per shift = 40 residents / 8 residents per nurse = 5 nurses

b. To determine how many 12-hour shift days per month each nurse should be assigned, we need to consider the total number of shifts in a month and divide it by the number of shifts each nurse works.

Number of shifts per month = 30 days * 24 hours / 12 hours = 60 shifts

Number of 12-hour shift days per month per nurse = Number of shifts per month / Number of nurses

Number of 12-hour shift days per month per nurse = 60 shifts / 10 nurses = 6 shifts

c. To calculate the monthly salary for each practical nurse working 12 hours of overtime per week, we need to determine the overtime hours worked in a month and calculate the corresponding salary.

Overtime hours per month per nurse = 12 hours/week * 4 weeks = 48 hours

Salary for overtime hours per month per nurse = Overtime hours per month per nurse * Overtime pay rate

Salary for overtime hours per month per nurse = 48 hours * $500/hour = $24,000.