1. **Problem Statement:** We need to determine the formulas and rates for calculating overtime pay and night differential pay based on provided working hour rules. 2. **Definitions given:** - Standard working hours per day = 8 hours - Overtime pay applies for any hours worked beyond 8 hours. - Regular hourly rate = $h$ - Overtime rate $r$ depends on the day: - For a regular day $A$: $r = 1.25h$ - For a special day, rest day, or holiday: $r = 1.3h$ - Worked on special holiday or holiday pay is daily rate multiplied by 200% (i.e., 2 times the daily rate). - Night differential pay $n$ is an additional amount added for work hours between 10:00 PM and 6:00 AM. It is computed as $n = 1.1h$. 3. **Formulas for calculations:** - **Overtime pay calculation:** - Determine extra hours $o$ worked beyond 8 hours. - For regular day: Overtime pay = $o \times 1.25h$ - For special/rest/holiday: Overtime pay = $o \times 1.3h$ - **Special/holiday work pay:** - Daily rate is multiplied by 2: Pay = $2 \times \text{Daily Rate}$ - **Night differential pay:** - For hours worked between 10:00 PM to 6:00 AM, extra pay = $n \times \text{hours worked during night differential}$ where $n = 1.1h$ 4. **Summary:** - Overtime hours are hours beyond 8 hrs. - Overtime pay rates vary based on the day: $1.25h$ for regular days and $1.3h$ for special/rest/holidays. - Special/holiday work pays double the daily rate. - Night differential pay adds $1.1h$ per hour worked between 10 PM and 6 AM. This establishes the necessary formulas for calculation of overtime and night differential pays.