A project has 15 workers scheduled for Week 1, 22 workers for Week 2, and 18 workers for Week 3. The average hourly rate is $28, and each worker works 40 hours per week. What is the total labor budget for these three weeks?
Correct Answer
A) 61,600
Week 1: 15 × 40 × $28 = $16,800; Week 2: 22 × 40 × $28 = $24,640; Week 3: 18 × 40 × $28 = $20,160. Total = $16,800 + $24,640 + $20,160 = $61,600.
Why This Is the Correct Answer
The calculation is: Week 1: 15 workers × 40 hours × $28 = $16,800. Week 2: 22 workers × 40 hours × $28 = $24,640. Week 3: 18 workers × 40 hours × $28 = $20,160. Total: $16,800 + $24,640 + $20,160 = $61,600. This is a straightforward labor cost calculation using the formula: Workers × Hours × Rate per week, summed across all weeks.
Why the Other Options Are Wrong
Option B: $58,800
$58,800 results from an arithmetic error — likely using an incorrect worker count or rate. For example, if someone uses 52.5 workers total (averaging incorrectly) × 40 × $28 = $58,800, or miscounts weekly hours.
Option C: $64,400
$64,400 is higher than the correct answer and may result from adding an extra worker to one week or using a slightly higher rate. For instance, calculating Week 2 with 23 workers instead of 22 would inflate the total by $1,120, but the exact error path yields a different wrong answer — any inflation of one week's count could lead here.
Option D: $67,200
$67,200 results from computing all three weeks with 20 workers each (60 workers × 40 × $28 = $67,200), which incorrectly averages the crew sizes rather than computing each week separately.
Memory Technique
For multi-week labor budgets: compute each week separately, then add. Set up a table: W1 = 15×40×28, W2 = 22×40×28, W3 = 18×40×28. Never average workers across weeks — different weeks have different crew sizes for a reason.
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