Question

In: Economics

Two insulation thickness alternatives have been proposed for a process steam line subject to severe weather...

Two insulation thickness alternatives have been proposed for a process steam line subject to severe weather conditions. One alternative must be selected. Estimated savings in heat loss and installation cost are given below:

Thickness

Installation cost

Annual savings

Maintenace once in each 2 years

2cm

$222000

$80000

$3400

5cm

$360000

$151000

0

a.) Useful lives of both alternatives are 6 years. Which thickness would you recommend for a MARR= 9% per year and negligible market (salvage) values using Annual Worth Analysis?

b.) Useful life of 2 cm Thickness alternative is 6 years and useful life of 5 cm thickness alternative is 9 years. Which thickness would you recommend for a MARR= 9% per year and negligible market (salvage) values using Annual Worth Analysis? (Use repeatability assumption)

in excel both questions

Solutions

Expert Solution

Using Excel

interest rate 9%
a. For 2 cm thickness
Installation cost -222000
Annual savings 80000
Maint (every 2 yrs) -3400.00
Life 6
Present worth 131603.13
Annual Worth 29,336.94
For 5 cm thickness
Installation cost -360000
Annual savings 151000
Maint (every 2 yrs) 0.00
Life 6
Present worth 317373.71
Annual Worth 70,748.88
As AW of 5 cm thickness is more, it should be selected
interest rate 9%
b. For 2 cm thickness
Installation cost -222000
Annual savings 80000
Maint (every 2 yrs) -3400.00
Life 6
Present worth 131603.13
Annual Worth 29,336.94
For 5 cm thickness
Installation cost -360000
Annual savings 151000
Maint (every 2 yrs) 0.00
Life 9
Present worth 545282.28
Annual Worth 90,952.43
As AW of 5 cm thickness is more, it should be selected

Showing formula in Excel

interest rate 0.09
a. For 2 cm thickness
Installation cost -222000
Annual savings 80000
Maint (every 2 yrs) -3400
Life 6
Present worth =C3+PV(C1,C6,-C4)+PV(C1,2,,-C5)+PV(C1,4,,-C5)
Annual Worth =PMT(C1,C6,-C7)
For 5 cm thickness
Installation cost -360000
Annual savings 151000
Maint (every 2 yrs) 0
Life 6
Present worth =C11+PV(C1,C14,-C12)
Annual Worth =PMT(C1,C14,-C15)
As AW of 5 cm thickness is more, it should be selected
interest rate 0.09
b. For 2 cm thickness
Installation cost -222000
Annual savings 80000
Maint (every 2 yrs) -3400
Life 6
Present worth =C21+PV(C19,C24,-C22)+PV(C19,2,,-C23)+PV(C19,4,,-C23)
Annual Worth =PMT(C19,C24,-C25)
For 5 cm thickness
Installation cost -360000
Annual savings 151000
Maint (every 2 yrs) 0
Life 9
Present worth =C29+PV(C19,C32,-C30)
Annual Worth =PMT(C19,C32,-C33)
As AW of 5 cm thickness is more, it should be selected

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