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Rug Factory

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Rug Factory


1. **Problem 1: Rugs produced by Washington branch over 6 months.** - Washington produces 1569 rugs daily. - There are 365 days per year, so 6 months = $$\frac{365}{2} = 182.5$$ days. - Rugs produced in 6 months = $$1569 \times 182.5 = 286342.5$$ rugs. - Approximate to nearest whole number: 286343 rugs. 2. **Problem 2: Difference in operating costs between Tokyo and Washington branches.** - Tokyo Annual Employee Cost: 110,960. - Tokyo Operating Costs %: 29%. - Tokyo operating costs in euros = $$110,960 \times 0.29 = 32,176.4$$ (thousands assumed for calculation relevance). - Washington Annual Employee Cost: 98,940. - Washington Operating Costs %: 25%. - Washington operating costs in euros = $$98,940 \times 0.25 = 24,735$$ (thousands). - Difference = $$32,176.4 - 24,735 = 7,441.4$$ (thousands), or €7,441,400. - However, question likely refers to annual operating costs as a % of production (revenues). Calculate revenues: - Washington revenue yearly = rugs daily $$\times 365 \times 92 = 1569 \times 365 \times 92 = 52,684,980$$ euros. - Washington operating costs = 25% of revenue = $$0.25 \times 52,684,980 = 13,171,245$$ euros. - Tokyo revenue yearly = $$1958 \times 365 \times 92 = 65,830,360$$ euros. - Tokyo operating costs = 29% of revenue = $$0.29 \times 65,830,360 = 19,091,808.4$$ euros. - Difference = $$19,091,808.4 - 13,171,245 = 5,920,563.4$$ euros. - Closest option is €5,895,640.60. 3. **Problem 3: Number of staff at Canberra branch.** - Canberra Annual Employee Operating Hours: 92,872 hours. - Each staff works 38 hours/week, 52 weeks/year = $$38 \times 52 = 1976$$ hours per year. - Number of staff = $$ \frac{92,872}{1976} \approx 47$$ staff. **Final Answers:** **1.** 286,343 rugs. **2.** €5,895,640.60 higher operating costs for Tokyo. **3.** 47 staff for Canberra.