Consider a 20-kW rooftop PV system installed at a cost of $2500/kW. The PV system operates with a capacity factor of 20%, maintenance cost of $0.01/kWh, and downtime of 2% during a typical year. For a lifetime of 25 years and a discount rate of 4%, estimate:

a. The LCOE (in $/kWh) if all the generated power is used by the building.

b. The LCOE (in $/kWh) if 30% of the generated power is sold to the grid at $0.06/kWh, while the remainder is used by the building.