A project requires 2,400 square feet of clay tile roofing. If tiles are sold in pallets covering 200 square feet each, and you need 10% waste factor, how many pallets should be ordered?
Correct Answer
A) 13 pallets
2,400 sq ft × 1.10 (10% waste) = 2,640 sq ft needed. 2,640 ÷ 200 sq ft per pallet = 13.2 pallets. Round up to 13 complete pallets.
Why This Is the Correct Answer
The calculation correctly applies the 10% waste factor to the base requirement. Starting with 2,400 sq ft × 1.10 = 2,640 sq ft total needed. Dividing by 200 sq ft per pallet gives 13.2 pallets. Since you cannot order partial pallets, this rounds to 13 complete pallets, which provides 2,600 sq ft (13 × 200), meeting the 2,640 sq ft requirement with minimal excess.
Why the Other Options Are Wrong
Option B: 14 pallets
14 pallets would provide 2,800 sq ft (14 × 200), which exceeds the required 2,640 sq ft by 160 sq ft. This represents unnecessary overordering and increased material costs. While having extra material isn't wrong, it's not the most efficient order quantity when 13 pallets adequately covers the waste-adjusted requirement.
Option C: 12 pallets
12 pallets would only provide 2,400 sq ft (12 × 200), which equals the base project requirement but fails to account for the 10% waste factor. This would leave the project 240 sq ft short of the actual 2,640 sq ft needed, potentially causing delays and additional delivery costs.
Option D: 15 pallets
15 pallets would provide 3,000 sq ft (15 × 200), which significantly exceeds the required 2,640 sq ft by 360 sq ft. This represents substantial overordering, leading to unnecessary material costs and potential storage issues. The excess is far beyond reasonable material planning.
Memory Technique
Remember 'WRAP': Waste factor × Required area ÷ Pallet coverage = Pallets needed (always round UP for partial pallets).
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