A carpentry crew's base productivity is 120 sq ft of framing per hour. Working at 15 feet above grade reduces productivity by 10%, and working in 25°F weather reduces it by another 15%. What is the adjusted hourly productivity?
Correct Answer
A) 91.8 sq ft/hour
Base productivity = 120 sq ft/hr. Height factor = 0.90 (10% reduction). Weather factor = 0.85 (15% reduction). Adjusted productivity = 120 × 0.90 × 0.85 = 91.8 sq ft/hour.
Why This Is the Correct Answer
Option A correctly applies compound productivity reductions. Starting with 120 sq ft/hr base productivity, the 10% height reduction gives a factor of 0.90, and the 15% weather reduction gives a factor of 0.85. These factors multiply together: 120 × 0.90 × 0.85 = 91.8 sq ft/hour. Both reductions compound, meaning each affects the already-reduced productivity.
Why the Other Options Are Wrong
Option B: 108.0 sq ft/hour
This answer incorrectly applies only the 10% height reduction (120 × 0.90 = 108), completely ignoring the additional 15% weather reduction. In real construction scenarios, multiple adverse conditions compound their effects on productivity, so both factors must be applied sequentially.
Option C: 95.4 sq ft/hour
This represents applying the reductions additively rather than multiplicatively. Adding the percentages (10% + 15% = 25% total reduction) gives 120 × 0.75 = 90, but this doesn't account for how productivity factors actually compound in construction work.
Option D: 102.0 sq ft/hour
This answer incorrectly applies only the 15% weather reduction (120 × 0.85 = 102), completely ignoring the 10% height reduction factor. Both adverse conditions affect the crew simultaneously and must both be factored into the productivity calculation.
Memory Technique
Remember 'MULTIPLY for MULTIPLE troubles' - when facing multiple adverse conditions, multiply the remaining productivity factors (0.90 × 0.85) rather than adding the reduction percentages.
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