In a normal 5-day work week, each of 12 employees produces 300 items per day.
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In a normal 5-day work week, each of 12 employees produces 300 items per day. Last week, 1/3 of the employees were absent from work for 2/5 of the days in the week. How many total items were produced last week?
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Answer: D. 15,600
The total production splits into two groups: (1) 8 employees worked all 5 days producing 8 × 300 × 5 = 12,000 items, and (2) 4 employees worked only 3 days (5 − 2 = 3) producing 4 × 300 × 3 = 3,600 items. Total: 12,000 + 3,600 = 15,600 items.
Step-by-step Derivation:
Step 1: Identify the two employee groups.
- Total employees: 12
- Employees absent: 1/3 × 12 = 4
- Employees present all week: 12 − 4 = 8
Step 2: Calculate days absent.
- Days in week: 5
- Absent for: 2/5 × 5 = 2 days
- Days worked by absent employees: 5 − 2 = 3 days
Step 3: Calculate production.
- Group 1 (8 present employees, 5 days): 8 × 300 × 5 = 12,000 items
- Group 2 (4 absent employees, 3 days): 4 × 300 × 3 = 3,600 items
- Total: 12,000 + 3,600 = 15,600 items