Math Problem Statement

Company Background (Stable Wires): The company manufactures electrical components. Employees work 45 hours a week (Monday to Friday). Normal hourly rate: P60.00 per hour. Overtime: Paid at double time after 6:00 p.m. on weekdays and for all weekend hours. Bonus scheme: Piece-rate bonus based on output. Employees receive 50% extra pay if they produce more than 50% of the expected output. Adam’s Weekly Work Summary: Hours worked: 45 hours (Monday to Friday). Units produced: 630 adapters. Weekend work: None. Baker’s Weekly Work Summary: Hours worked: Monday to Friday: 48 hours .baker has idle time in weekdays 2 hours Saturday: 9:00 a.m. to 4:00 p.m. (7 hours). Sunday: 8:00 a.m. to 10:00 p.m. (10 hours). Units produced: Monday to Friday: 475 adapters. Saturday: 68 adapters. Sunday: 52 adapters. Required Calculations: i. Calculate Adam and Baker’s total weekday earnings (Monday to Friday) using the time-rate system.

Solution

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Math Problem Analysis

Mathematical Concepts

Time-rate system
Overtime pay
Bonus calculation

Formulas

Normal Pay = Hours Worked × Hourly Rate
Overtime Pay = Overtime Hours × Overtime Rate
Total Earnings = Normal Pay + Overtime Pay
Bonus Pay = (Production Units - 50% Expected Output) × 50% Extra Pay (if applicable)

Theorems

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Suitable Grade Level

Grades 9-12