Electricity generation average capacity factors

Here 8766 is the average number of hours per year, K is the rated capacity of the power plant in electric megawatts, and T is the number of years between the start of an irradiation cycle and the time the reactor is shut down for refueling. L is the availability-based capacity factor, defined as the ratio of the amount of electricity generated by the power plant when not shut down for refueling to the amount it could have generated if operated at capacity for the same time. 

A utility company pays 6 per 1000 cubic feet of natural gas and wants to install a fuel cell to generate electricity during peak hours. The fuel cell costs 1200 per kW, including installation. The capacity factor will be 33% and the average efficiency also 33%. Assuming a 5-year lifetime with 5% discount rate, estimate what should be the cost of generating electricity (in... 

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