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Openai/67d9ce0c-64a4-8006-9fa5-0272ee2e5770
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===== #### ===== * Initial Area: 40 km x 40 km = 1,600 km² * Initial Capacity: Assuming a starting capacity based on the area. - With 1,000 MW per 5 km², the initial capacity is: 1,600 km25 km2×1,000 MW=320,000 MW or 320 GW\frac{1,600 \, \text{km}^2}{5 \, \text{km}^2} \times 1,000 \, \text{MW} = 320,000 \, \text{MW} \text{ or } 320 \, \text{GW}5km21,600km2×1,000MW=320,000MW or 320GW * Initial Annual Output: With a capacity factor of 25%, the annual output is: 320,000 MW×8,760 hours/year×0.25=700.8 TWh/year320,000 \, \text{MW} \times 8,760 \, \text{hours/year} \times 0.25 = 700.8 \, \text{TWh/year}320,000MW×8,760hours/year×0.25=700.8TWh/year ====== - Annual Revenue: Selling price at $0.11 per kWh. 700,800,000,000 kWh/year×$0.11=$77.088 billion/year700,800,000,000 \, \text{kWh/year} \times \$0.11 = \$77.088 \, \text{billion/year}700,800,000,000kWh/year×$0.11=$77.088billion/year ====== * Revenue Distribution: - 20% to investors: $77.088 billion/year×0.20=$15.4176 billion/year\$77.088 \, \text{billion/year} \times 0.20 = \$15.4176 \, \text{billion/year}$77.088billion/year×0.20=$15.4176billion/year - 80% for reinvestment: $77.088 billion/year×0.80=$61.6704 billion/year\$77.088 \, \text{billion/year} \times 0.80 = \$61.6704 \, \text{billion/year}$77.088billion/year×0.80=$61.6704billion/year ====== Reinvestment leads to increased capacity and output each year. The reinvested funds are used to expand the solar farm, increasing its area and capacity. ====== * Cost of Solar Farm Expansion: Assuming $1 million per MW for expansion. * Capacity Increase: For every $1 billion reinvested, 1,000 MW of capacity can be added. Each year, the expansion is proportional to the reinvested amount. ====== We'll calculate the expanded capacity and output each year over 10 years. ======
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