A painting crew has a productivity rate of 250 square feet per hour for interior walls. If the project has 12,000 square feet of interior walls to paint and the crew hourly rate is $85, what is the total labor cost?
Correct Answer
B) $4,080
Hours needed: 12,000 SF ÷ 250 SF/hour = 48 hours. Total labor cost: 48 hours × $85/hour = $4,080. Productivity rates must be accurately applied to get correct labor costs.
Why This Is the Correct Answer
Option B is correct because the calculation follows the proper productivity formula. First, calculate total hours needed: 12,000 square feet ÷ 250 square feet per hour = 48 hours. Then multiply by the hourly rate: 48 hours × $85 per hour = $4,080. This systematic approach ensures accurate labor cost estimation for painting projects.
Why the Other Options Are Wrong
Option A: $4,420
Option A ($4,420) is incorrect because it represents an error in the calculation process. This amount would result from either miscalculating the hours needed or applying an incorrect hourly rate, leading to an overestimate of the total labor cost.
Option C: $4,250
Option C ($4,250) is incorrect as it doesn't match the proper calculation. This figure suggests computational errors in either the division of square footage by productivity rate or multiplication by the hourly rate, resulting in an inaccurate labor cost estimate.
Option D: $4,590
Option D ($4,590) is incorrect because it significantly overestimates the labor cost. This error likely stems from miscalculating the required hours or applying an incorrect rate, demonstrating the importance of careful arithmetic in construction cost estimation.
Memory Technique
Remember 'DivMult': Divide total work by productivity rate to get hours, then Multiply hours by hourly rate for total cost.
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