Question $4($Parametric Cost Estimating$)(10$ marks$)$

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the

cost of building a $600-$MW fossil$-$fuel plant for the assembly of its new long$-$distance

aircraft. It is known that a $200-$MW plant cost $$100$ million $20$ years ago when the

approximate cost index was $400,$ and that cost index is now $1,200.$ The cost$-$capacity

factor for a fossil$-$fuel power plant is $0\mathrm{.}79.$