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.