A quality control inspection reveals that 15% of installed drywall joints fail to meet specification requirements. The total drywall area is 12,000 sq ft at $2.50 per sq ft installed. What is the cost impact of the rework?
Correct Answer
A) $4,500
15% of 12,000 sq ft = 1,800 sq ft requiring rework. At $2.50 per sq ft, the rework cost is 1,800 × $2.50 = $4,500.
Why This Is the Correct Answer
The correct answer is A because we need to calculate the cost impact of reworking only the defective drywall joints. First, we find 15% of the total 12,000 sq ft area, which equals 1,800 sq ft that fails inspection. Then we multiply this defective area by the installation cost of $2.50 per sq ft to get the rework cost of $4,500. This represents the additional cost to fix the substandard work.
Why the Other Options Are Wrong
Option B: $9,000
This option ($9,000) appears to be calculating 30% of the total area cost instead of 15%, or possibly doubling the correct rework cost, which would not represent the actual cost impact of fixing just the defective joints.
Option C: $13,500
This option ($13,500) seems to add the rework cost to some other figure, possibly including both removal and reinstallation costs, but the question asks specifically for the cost impact of rework at the given rate.
Option D: $30,000
This option ($30,000) represents the total cost of all drywall installation (12,000 sq ft × $2.50), not just the cost to rework the defective 15% portion that failed inspection.
Memory Technique
Remember 'PPU' - Percentage × Project area × Unit cost. Only the defective percentage needs rework, not the whole project.
Reference Hint
Construction project management and quality control sections, typically found in project administration or cost control chapters of contractor reference materials.
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