A framing crew of 4 carpenters can frame 1,200 square feet per day. If carpenters earn $28 per hour for an 8-hour day, what is the labor cost per square foot for framing?
Correct Answer
C) $0.75
Daily labor cost = 4 carpenters × $28/hour × 8 hours = $896. Cost per square foot = $896 ÷ 1,200 sq ft = $0.747, which rounds to $0.75 per square foot.
Why This Is the Correct Answer
The correct answer is A ($0.75) because it follows the proper sequence of calculating total daily labor cost first, then dividing by production output. The calculation involves 4 carpenters × $28/hour × 8 hours = $896 total daily cost, then $896 ÷ 1,200 sq ft = $0.747 per square foot. When rounded to the nearest cent, this equals $0.75 per square foot.
Why the Other Options Are Wrong
Option A: $0.85
This answer ($0.93) is incorrect and likely results from calculation errors, possibly using incorrect hourly rates or making mistakes in the multiplication or division steps.
Option B: $1.12
This answer ($1.12) is incorrect and significantly higher than the correct cost, suggesting major calculation errors such as using wrong crew size, incorrect hours, or mathematical mistakes in the cost per unit calculation.
Option D: $0.93
This answer ($0.85) is incorrect because it represents an error in calculation, possibly from miscalculating the total daily labor cost or making an arithmetic mistake in the division step.
Memory Technique
Remember 'CRP': Crew cost × Rate × Production time, then divide by Production output. Think 'Cost per unit = Total cost ÷ Total units produced.'
Reference Hint
Construction cost estimating sections in contractor reference materials, specifically labor cost calculation methods and crew productivity rates
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