A report estimated the cost to build a new 30% carbon sequestration coal-generated electricity plant with a capacity of 650 MW to be $3.308 billion, with a marginal cost of $7.17 for each MWh of electricity produced.

(a) Find a formula for the cost, C(x), to build a plant and generate x MWh of electricity.

(b) Calculate the total cost to generate 120 million MWh.

(c) A region has $4.5 billion to spend on electricity over the next 20 years. How much energy could be generated by a plant as described on the previous page?