- How to modify the capacity exponent formula for cost per unit of capacity
To estimate the cost of an item of equipment or plant from another of a known cost and size or capacity , we use a well known formula Cost B = Cost A * ( CapacityB/Capacity A)^n, where n is a factor usually around 0.5-0.8 depending on the plant or equipment involved. These exponents are published in various books and publications,How do you modify this formula to get the cost per unit of production. For example ,the $/MW of a 3MW Boiler vs a known 100 MW Boiler. I can convert it to total cost , perform the calculation then turn it back into cost per unit, but I thought there may be a more "elegant" way to do it. I have a feeling it has something to do with logarithms , but just cant get my head around it.