Respuesta :
Answer:
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 × [tex]\frac{CI 1 }{CI 2 }[/tex] .............1
put here value
current cost = 160000 × [tex]\frac{194 }{187 }[/tex]
new current cost = $165989.304
and
use here power sizing technique for 124 kW
CN/CO = [tex](\frac{p2}{p1} )^{f}[/tex] ...............2
put here value and find CN
CN/CO = [tex](\frac{p2}{p1} )^{f}[/tex]
CN / 165989.304 = [tex](\frac{120}{80} )^{0.6}[/tex]
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 = [tex](\frac{p2}{p1} )^{f}[/tex]
CN / 165989.304 = [tex](\frac{40}{80} )^{0.6}[/tex]
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
