A project requires 2,400 square feet of drywall installation. If a crew can install 300 square feet per day at a labor cost of $45 per hour for 8-hour days, what is the total labor cost for drywall installation?
Correct Answer
D) $2,880
Days needed: 2,400 ÷ 300 = 8 days. Total hours: 8 days × 8 hours = 64 hours. Total cost: 64 hours × $45 = $2,880.
Why This Is the Correct Answer
This is a multi-step labor cost calculation that requires finding the total time needed first, then converting to total hours, and finally multiplying by the hourly rate. The calculation correctly determines that 2,400 sq ft ÷ 300 sq ft per day = 8 days needed. Then 8 days × 8 hours per day = 64 total hours, and 64 hours × $45/hour = $2,880 total labor cost.
Why the Other Options Are Wrong
Option A: $3,600
This answer ($3,240) likely results from an error in the daily hours calculation, possibly using 9 hours per day instead of 8 hours (8 days × 9 hours × $45 = $3,240).
Option B: $2,160
This answer ($3,600) likely comes from incorrectly calculating 10 days instead of 8 days (10 days × 8 hours × $45 = $3,600), possibly from a division error in the first step.
Option C: $3,240
This answer ($2,160) appears to result from using only 6 hours per day instead of 8 hours (8 days × 6 hours × $45 = $2,160), which underestimates the actual work schedule.
Memory Technique
Remember 'DPT' - Divide by Production rate to get Time (days), then multiply by hours Per day, then by Total hourly rate
Reference Hint
Construction estimating and project management chapters covering labor productivity rates and cost calculations
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