I am a manager at a hospital i have 1,176 hours in a week to be covered by my staff. How many 40 hour people would I need and how many 32 hour people would I need to cover the hours.

To determine the number of 40-hour and 32-hour employees needed to cover a total of 1,176 hours in a week, we can follow these steps:

Step 1: Calculate the number of full-time employees (40-hour shifts) needed:
Divide the total number of hours (1,176) by the length of one full-time shift (40 hours).
1,176 รท 40 = 29.4

Note: Since you cannot have a fraction of an employee, you will need to round up to the nearest whole number. Therefore, you would need 30 full-time employees to cover the 1,176 hours.

Step 2: Calculate the number of part-time employees (32-hour shifts) needed:
Since you've already accounted for the 1,176 hours with the full-time employees, you need to find the remaining hours that need coverage.
Total remaining hours = total hours - full-time employee hours
Total remaining hours = 1,176 - (30 * 40) = 1,176 - 1,200 = -24
Note: Since the result is negative, it means you have already exceeded the required hours with the full-time employees, and there is no need for any part-time employees to cover the shortfall.

In conclusion, you would need 30 full-time employees (40-hour shifts) to cover the 1,176 hours in a week, but no part-time employees (32-hour shifts) would be required since the full-time employees can cover the entire duration.