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The MARR is 9% using an annual worth method to compare Which option is the best

ID: 2649511 • Letter: T

Question

The MARR is 9% using an annual worth method to compare Which option is the best

Press Plate

Option 1 Option 2

Initial Cost $305,000 $185,000

Installation Cost $20,000 $26,500

Annual Maintenance Cost $2,500 in the first year, increasing by $30 each year after, $3,500 every year

Annual Savings $40,000 $33,000

Service Life 18 years 12 years

Scrap Value $6,000 $7,000

What scrap value will make the defeated option the best option

Remember the service lives are different.

The interest rate is the nominal interest rate

Explanation / Answer

OPTIO 1

Calculation of present value of annual maitennace cost

2500*.914+2530*.841+2560*.772+2590*.708+2620*.650+2650*.596+2680*.547+2710*.502+2740*.461+2770*.422+2800*.387+2830*.355+2860*..326+2890*..300+2920*..274+2850*.251+2880*.231+2910*.212

=2285+2128+1976+1834+1703+1580+1465+1360+1263+1169+1084+1005+932+867+800+715+665+617

= 23448

For option II it will be 18852

OPTIO 1

Option II is better

Initial Cost 305000 305000*1 305000 Installation Cost 20000 20000*1 20000 maintenance 23448 Annual Savings 40000 8.25 (330150) 6000 6000*.212 .(1272) 17026
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