Subjects algebra

Overtime Pay 2381Cf

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1. **Problem Statement:** Jenny works from 8:00 A.M. to 5:00 P.M. daily and earns 537 per day. We need to compute her overtime pay based on her working hours. 2. **Summary of Overtime:** - Regular working hours: 8 hours per day (usually 8:00 A.M. to 5:00 P.M. with 1 hour lunch break) - Overtime hours: Hours worked beyond regular 8 hours - Overtime rate: Usually 1.25 times the hourly rate for regular days 3. **Formula Used:** $$\text{Overtime Pay} = \text{Overtime Hours} \times \text{Hourly Rate} \times \text{Overtime Rate}$$ 4. **Step-by-step Solution:** - Calculate Jenny's hourly rate: $$\text{Hourly Rate} = \frac{\text{Daily Rate}}{\text{Regular Hours}} = \frac{537}{8} = 67.125$$ - Calculate daily overtime hours: Jenny works from 8:00 A.M. to 5:00 P.M. which is 9 hours total minus 1 hour lunch = 8 hours regular, so no overtime on a normal day. - Check days with overtime (from given data, e.g., 6:00 P.M. means 1 hour overtime): For example, on 21 Dec (rest day) 8:00 A.M. to 6:00 P.M. = 10 hours total, 8 regular + 2 overtime hours. - Calculate overtime pay for 21 Dec: $$\text{Overtime Hours} = 2$$ $$\text{Overtime Rate} = 1.3 \quad \text{(rest day rate)}$$ $$\text{Overtime Pay} = 2 \times 67.125 \times 1.3 = 174.525$$ - Repeat for other days with overtime and sum all overtime pays. 5. **Final Answer:** Jenny's total overtime pay is the sum of all daily overtime pays calculated using the formula above. **Note:** Specific overtime hours and rates depend on the day type (regular, rest day, holiday). Use the appropriate multiplier for each. \boxed{\text{Total Overtime Pay} = \sum (\text{Overtime Hours} \times 67.125 \times \text{Overtime Rate})}