Question

A high-speed electronic assembly machine was purchased two years ago for $50,000. At the present time, it can be sold for $26The marginal cost of keeping the defender in service for one more year is $Discrete Compounding; i 18% Single Payment Uniform Series Sinking Fund Factor To Find A Compound Amount Factor To Find F Give

A high-speed electronic assembly machine was purchased two years ago for $50,000. At the present time, it can be sold for $26,000 and replaced by a newer model having a purchase price of $42,500; or it can be kept in service for a maximum of one more year. The new assembly machine, if purchased, has a useful life of not more than two years. If the before-tax MARR is 18%, when should the old assembly machine be replaced? Use the following data table for your analysis Challenger Market ValueO&M Costs Defender Market Value O&M Costs Year $26,000 18,500 $42,500 30,000 26,000 Click the icon to view the interest and annuity table for discrete compounding when the MARR is 18% per year. $9,000 4,500 $16,000 2 The minimum EUAC value of the challenger is $.(Round to the nearest dollar.)
The marginal cost of keeping the defender in service for one more year is $
Discrete Compounding; i 18% Single Payment Uniform Series Sinking Fund Factor To Find A Compound Amount Factor To Find F GivenP FIP 1.1800 1.3924 1.6430 1.9388 2.2878 Present Worth Factor To Find P GivenF PIF 0.8475 0.7182 0.6086 0.5158 0.4371 Compound Amount Factor To Find F Given A FIA 1.0000 2.1800 3.5724 5.2154 7.1542 Present Worth Factor To Find P GivenA PIA 0.8475 1.5656 2.1743 2.6901 3.1272 Capital Recovery Factor To Find A GivenP AIP 1.1800 0.6387 0.4599 0.3717 0.3198 Given AIF 1.0000 0.4587 0.2799 0.1917 0.1398 2 3 4
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Answer #1

Economic analysis of challenger

Year Discount factor O&M cost PV (O&M) Cumulative (O&M) Cumulative (O&M) + Initial Cost Salvage value PV (Salvage value) NPV (A/P,18%,n) EUAC
A B C D=C*B E F=E+42500 G H=G*B I=F-H J K = I*J
1 0.8475 9000.00 7627.50 7627.50 50127.50 30000.00 25425.00 24702.50 1.1800 29148.95
2 0.7182 14500.00 10413.90 18041.40 60541.40 26000.00 18673.20 41868.20 0.6387 26741.22

Minimum EUAC of challenger is 26741 at 2 yrs, so economic life is 2 yrs

EUAC of defender = 26000*(A/P,18%,1) + 16000 - 18500 = 26000*1.18 + 16000 - 18500 = 28180

As minimum EUAC of challenger is less than EUAC of defender, so defender should be replaced immediately

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