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An existing machine can be kept if $1,000 is spent now to update it for future s

ID: 2476203 • Letter: A

Question

An existing machine can be kept if $1,000 is spent now to update it for future service requirements. Alternatively, the company can purchase a new machine to replace the old machine. The following estimates have been developed for both the defender and the challenger.

Defender

Challenger

Current MV

$35,500

Purchase price

$51,500

Required upgrade

$1,000

Installation cost

$5,500

Annual Expense

$1,100

Annual expenses

$500

Remaining useful life

6 years

Useful life

10 years

MV at end of useful life

-$500

MV at end of useful life

$6,500

The company’s before tax MARR is 20% per year. Based on the information, should the existing machine be replaced right now? Assume the machine will be needed for an indefinite period of time. (Hint: if you use the AW method you can compare the 2 different useful lives.) (Show your work)

Using AW method, Defender by $927

Using AW method, Challenger by $1,718

Using AW method, Challenger by $927

Using AW method, Defender by $1,718

Defender

Challenger

Current MV

$35,500

Purchase price

$51,500

Required upgrade

$1,000

Installation cost

$5,500

Annual Expense

$1,100

Annual expenses

$500

Remaining useful life

6 years

Useful life

10 years

MV at end of useful life

-$500

MV at end of useful life

$6,500

Explanation / Answer

Defender AW = -36500(A/P, 20%,6)-1100-500(A/F,20%,6)

Challenger AW = -57000(A/P,20%,10)-500+6500(A/F,20%,10)

-10975.79-1100-50.35 = -12126.14 (Defender AW)

-13595.71-500+250.40 = -13845.31 (Challenger AW)

Hence Challenger Annual worth (Cost) is more than defender by $ 1719.17

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