14. a. A Restaurant is open 24 hours a day. The manager wants to divide the day into work shifts of equal length. The shifts should not overlap, and all shift durations should be a whole number of hours. Describe the different ways this can be done.

To determine the different ways to divide a 24-hour day into equal-length work shifts without any overlap, we can use a systematic approach.

First, let's define the length of each shift as "x" hours, where "x" is a whole number. Since the total duration of the day is 24 hours, the number of shifts required will be 24/x.

To find the different possibilities, we need to determine the values of "x" that divide 24 evenly. In other words, we need to find the factors of 24.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

For each of these factors, we can calculate the corresponding shift durations by dividing 24 by the factor. For example, if x = 1, then the shift duration is 24/1 = 24 hours. If x = 2, then the shift duration is 24/2 = 12 hours.

Using this approach, we can generate the following list of possible shift durations:

1. Shift duration: 24 hours; Number of shifts: 1
2. Shift duration: 12 hours; Number of shifts: 2
3. Shift duration: 8 hours; Number of shifts: 3
4. Shift duration: 6 hours; Number of shifts: 4
5. Shift duration: 4 hours; Number of shifts: 6
6. Shift duration: 3 hours; Number of shifts: 8
7. Shift duration: 2 hours; Number of shifts: 12
8. Shift duration: 1 hour; Number of shifts: 24

These are the different ways the manager can divide the day into work shifts of equal length. The choice of a specific shift duration would depend on various factors, including staffing requirements, employee availability, and operational needs.

4 freaking hours????????????????????????

4 six=hour shifts

3 eight-hour shifts
2 twelve-hour shifts

4 six hour shifts

The answer is 4 hour

4 hour

4 hours.