ChatterBank0 min ago
Basic Maths Question
I've owned up before to being rubbish at simple maths so I need help. This is not hypothetical so it is crucial the information is correct.
A planned business will operate 24/7 365 days a year. It will need two members of staff in attendance at all times. Assuming a 38 hour week, how many staff will the business need? Breaks can be staggered and one person can cover those times.
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To determine the number of staff required for a business operating 24/7 with two members of staff on duty at all times, taking into account a 38-hour work week and breaks and holidays, we'll go through the following steps:
1. **Calculate Total Hours Required Per Year**:
- There are 24 hours in a day and 365 days in a year.
- \(24 \text{ hours/day} \times 365 \text{ days/year} = 8,760 \text{ hours/year}\)
- Since two staff members are needed at all times:
- \(8,760 \text{ hours/year} \times 2 = 17,520 \text{ staff-hours/year}\)
2. **Calculate Working Hours Per Staff Member Per Year**:
- Each staff member works 38 hours per week.
- \(38 \text{ hours/week} \times 52 \text{ weeks/year} = 1,976 \text{ hours/year}\)
3. **Adjust for Breaks and Holidays**:
- In the UK, full-time employees are entitled to 28 days of holiday per year.
- Holidays equate to \(28 \text{ days} \times 7.6 \text{ hours/day} = 212.8 \text{ hours/year}\) (assuming an 8-hour workday for simplicity).
- The actual working hours per staff member per year:
- \(1,976 \text{ hours/year} - 212.8 \text{ hours/year} = 1,763.2 \text{ hours/year}\)
4. **Calculate Total Number of Staff Required**:
- To cover the total required staff-hours per year:
- \( \frac{17,520 \text{ staff-hours/year}}{1,763.2 \text{ hours/year per staff}} \approx 9.94 \)
Since you cannot have a fraction of a staff member, you need to round up to ensure coverage. Therefore, the business will need **10 staff members**.
Thus, the business will need a minimum of 10 staff members to operate 24/7, 365 days a year, with two staff members on duty at all times, accounting for breaks and holidays.
3 x 8hr shifts in any 24 hours needs 6 people
That would work for 5 days a week (1 person doing 8 hrs comes to 40 hrs (just over your 38 hr working week) so you'll need weekend cover as well so a minimum of 6 more different people to cover both days. We are already up to 12 people with no mention of sickness and leave.
It's not a simple maths question at all.
If breaks are covered by colleagues and an hour is allowed each day, they are covering eighteen hours between them (nine hours each) and not sixteen hours (eight hours each.)
If the working week is thirty-eight hours, that is not eight hours a day and it might not make a difference to a rounded-up calculation but then again, it might.