Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for

ID: 1172151 • Letter: H

Question

Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for $445,000. Its operating cost is $325,000 per year and it can be sold for $145,000 anytime in the next 3 years. The Center’s director is considering replacing the presently owned MRI scanner with a state-of-the-art 3 Tesla machine that will cost $1.5 million.The operating cost of the new machine will be $260,000 per year, but it will generate extra revenue that is expected to amount to $525,000 per year. The new unit can probably be sold for $850,000 3 years from now. You have been asked to determine how much the presently owned scanner would have to be worth on the open market for the AW values of the two machines to be the same over a 3-year planning period. The Center’s MARR is 9% per year.

The presently owned scanner should be worth $  on the open market.

Explanation / Answer

Cash out flow for New machine is 1500000-145000

1355000

Savings on operating expenses is 325000-260000

65000

extra revenue from new machine

525000

Total additional inflow from new machine is 525000+65000 per year

590000

Cash flow at the end of the year is 590000+850000

1440000

If the old machine is sold today

Year

PV factor @9%

New machine

PV cash flows

0(today)

1

-1355000

-1355000

1

0.9174

590000

541284

2

0.8417

590000

496591

3

0.7722

1440000

1111944

Net cash flow

794820

Hence it is suggested to sell the old machine and buy new machine

Cash out flow for New machine is 1500000-145000

1355000

Savings on operating expenses is 325000-260000

65000

extra revenue from new machine

525000

Total additional inflow from new machine is 525000+65000 per year

590000

Cash flow at the end of the year is 590000+850000

1440000

If the old machine is sold today

Year

PV factor @9%

New machine

PV cash flows

0(today)

1

-1355000

-1355000

1

0.9174

590000

541284

2

0.8417

590000

496591

3

0.7722

1440000

1111944

Net cash flow

794820

Hence it is suggested to sell the old machine and buy new machine

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote