Six years ago, an 80-kw diesel electric set cost $160,000. the cost index for this class of equipment six years ago was 187 and is now 194. the cost-capacity factor is 0.6. the plant engineering staff is considering a 120-kw unit of the same general design to to power a small isolated plant. assume we want to add a pre-compressor, which (when isolated and estimated separately) currently costs $18,000. determine the total cost of the 120-kw unit.
b. estimate the cost of a 40-kw unit of the same general design. include the cost of the $18,000 precompressor.

new boiler total cost = $229706.825

new boiler total cost = $127512

Explanation:

given data

power p1 = 80 kW

cost C = $160000

cost index CI 1 = 187

cost index CI 2= 194

cost capacity factor f = 0.6

power p2 = 120 kW

current cost = $18000

to find out

total cost and cost of 40 kW

solution

we consider here CN cost for new boiler and CO cost for old boiler

and x is capacity of new boiler

first we find old boiler current cost that is

current cost CO = C ×   .............1

put here value

current cost = 160000 ×

new current cost = $165989.304

and

use here power sizing technique for 124 kW

CN/CO =    ...............2

put here value and find CN

CN/CO =  

CN / 165989.304 =  

CN = 211706.825

so new cost = $211706.825

so

total cost for new boiler is

total cost = new cost + current cost

total cost = 211706.825 + 18000

new boiler total cost = $229706.825

and

for 40 kW new cost will be

use equation 2

CN/CO =

CN / 165989.304 =  

CN = 109512

so new cost is $109512

so

total cost for new boiler is

total cost = new cost + current cost

total cost = 109512 + 18000

new boiler total cost = $127512