Consider a coal-fired power plant with nominal power output (called the plant’s "nameplate capacity") of 500mw. to calculate the total kwhe generated each year, assume a capacity factor of 0.64 (fraction of time the plant is on and generating power at 500 mw), a value typical for coal according to the us energy information administration. assume a capital cost of $1 billion (corresponding to $2,000/kw), a lifetime of 25 years, a salvage value of $5 million, and an operations and maintenance (o& m) cost of $35 million/yr (corresponding to a fixed (o& m) cost of $35/kw-yr and a variable o& m cost of $4.5/mwh see ref [ ] for typical 1 capital and o& m costs for various power plant types). assume 6% for capital cost and salvage cost annualization, and that the annual return to investors is 9% of annual operating plus capital repayment cost.

what is the lcoe (in $/kwh)? coal plants typically emit 907.2 g(co2 )/kwhe^2 . what is the lcoe if there is a carbon tax of $100/tonne(co2 )? (recall: 1 tonne = 1 metric ton = 1000 kg)