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Solve it by excel 620 You have two machines under consideration for an improved

ID: 1112235 • Letter: S

Question

Solve it by excel

620 You have two machines under consideration for an improved automated wrapping process for Snick- ers Fun Size candy bars as detailed below. (a) Using an AW analysis, determine which should be selected at 15% per year. Assume you want machine D to be selected and are willing to extend its estimated life, if necessary. Perform this analysis to ensure D's selection using factors or a spreadsheet. (b) Machine First cost, $ Annual cost, S/year Salvage value, S Life, years -40,000 -10,000 12,000 -65,000 -12,000 25,000 6

Explanation / Answer

a)

Using Factor method,

AWc = -40000(A/P,15%,3) + 12000 (A/F,15%,3)-10000

= -40000*(0.15*(1+0.15)^3)/(((1+0.15)^3)-1)+12000*(0.15/(((1+0.15)^3)-1))-10000

=-24063.35

AWd =-65000(A/P,15%,6) + 25000 (A/F,15%,6)-12000

=-65000*(0.15*(1+0.15)^6)/(((1+0.15)^6)-1)+25000*(0.15/(((1+0.15)^6)-1))-12000

=-26319.47

Using excel,

AWc= -PMT(0.15,3,-40000)-PMT(0.15,3,0,12000)-10000

= -24063.35

AWd = -PMT(0.15,6,-65000)-PMT(0.15,6,0,25000)-12000

=-26319.47

So looking at the annual worth of machine C and machine D, machine has the highest annual worth, hence it needs to be selected.

b) Using factor method at project life of 10 years, the annual worth of machine D would be more than machine C

=-65000*(0.15*(1+0.15)^10)/(((1+0.15)^10)-1)+25000*(0.15/(((1+0.15)^10)-1))-12000

=-23720.08

using excel,

=-PMT(0.15,10,-65000)-PMT(0.15,10,0,25000)-12000

=-23720.08

C D First cost -40000 -65000 Annual Cost/ Year -10000 -12000 Salvage Value 12000 25000 Life 3 6 Year C D 0 -40000 -65000 1 -10000 -12000 2 -10000 -12000 3 2000 -12000 4 -12000 5 -12000 6 13000
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