The cost for construction of a desulfurization sys­tem for flue gas from boilers at a 600 MW power plant was estimated to be $250 million. If a similar system for a smaller plant had a cost of $55 million and the exponent in the cost-capacity equation is 0.67, what is the size of the smaller plant that served as the basis for the cost projection?

What will be an ideal response?


In $ million units,

250 = 55(600/Q1)^0.67
4.5454 = (600/Q1)^0.67
log 4.5454 = 0.67(log 600 – log Q1)
0.6576 - 1.8614 = - 0.67 log Q1
-1,7967 = - log Q1
Q1 = 62.6 MW

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