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
A) $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 B: $0.85
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.
Option C: $0.93
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 D: $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.
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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