Question

In: Economics

Two equipments A and B have initial costs of $100,000 and $120,000 and expected to generate annual savings during the first year of $88,000 and $98,000 respectively.

Two equipments A and B have initial costs of $100,000 and $120,000 and expected to generate annual savings during the first year of $88,000 and $98,000 respectively. The value of these annual savings is expected to increase by 10% per year (over previous period). Assume service life of 2 years, operating hours per year of 4500, Use the NPW method to determining 5 savings/ hour for each equipment. Select the optimal equipment based on your results.

 

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Expert Solution

Answer:
Particulars Equipment A Equipment B
Initial costs (A)                     100,000.00                        120,000.00
PV of Annual savings (B)                       160,000.0                           178,181.7
Year 1                       80,000.01                           89,090.82
88,000*PVIF(10%,1) 98,000*PVIF(10%,1)
Year 2                       79,999.97                           89,090.88
96,800* PVIF(10%,2) 1,07,800* PVIF(10%,2)
NPW (B-A)                         60,000.0                             58,181.7
Operating hours per year                         4,500.00                             4,500.00
Operating hours for 2 years                         9,000.00                             9,000.00
Savings or NPW per operating hour                                  6.67                                     6.46
(60,000/9,000) (58,181.7/9,000)
NOTE: Since, the discount rate is not given in the question,
MARR IS ASSUMED AT 10% PER ANNUM.
Based on the calculations made above, Equipment A should be selected as its savings/hour is
comparatively higher than equipment B.
Please please upvote.
Thanks in advance.

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