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on January 2, 2012, sacred heart hospital purchased a $150,000 special radiology

ID: 2368766 • Letter: O

Question

on January 2, 2012, sacred heart hospital purchased a $150,000 special radiology scanner from hospital supply inc. The scanner has a useful life of 5 years and will have no disposal value at the end of its useful life. The straight-line method of depreciation is used on this scanner. Annual operating costs with this scanner are $125,000. Approximately one year later, the hospital is approached by Harmon technology salesperson who indicates that purchasing the scanner in 2012 from Hospital supply, Inc was a mistake. The salesperson points out that harmon has a scanner that will save the hospital $30,000 a year in operating expenses over its 4 year useful life. The new scanner will cost $140,000 and has the same capabilities as the scanner purchased let year. The hospital agrees that both scanners are of equal quality. The new scanner will have no disposal value. The Harmon salesperson agrees to buy the old scanner for sacred heart hospital for $30,000. Instructions: use the incremental analysis, determine if sacred heart hospital should purchase the new scanner on January 2, 2013. SHOW YOUR WORK

Explanation / Answer

Book value of machine 1 at end of 1 year = 150k-30k = 120k
where 30k is depricitaion, using st.line depriciation ( (150k-0) /5 =30k)

If machine is bought from harmon
Incremental cash flows are

end of year 1 - (-120+30)-140 = -230k
end of year 2 to year 5 = 30k


calculating present value of these cash flows at 10% discount rate

The cash flows come out to be negative, Hence it is not profitable to buy the new machine

year incremental cash flow present value 1 -230 -230 2 30 27.2727 3 30 24.7934 4 30 22.5394 5 30 20.4904
TOTAL -134.904