fmp ex

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Replacement decision for printing machine  Unit S. no Defender 1 Initial investment cost for printing machine 2 years back $ 20000 2 Expected machine life  Year s 5 3 Remaining life  Year s 3 4 Expected salvage value $ 5000 5 Repair cost for last year $ 5000 6 Present operating cost $/ye ar 8000 7 Salvage value deducted to $ 2500 8 Book value of machine $ 14693 9 Market value of machine $ 10000 10 Interest rate % 0.12  Challenger  11 Investment cost $ 15000 12 Useful life year s 3 13 Annual Operating cost $ 6000 14 Salvage value of new machine $ 5500 15 Interest rate % 0.12  Option 1 : Keep the defender  Annual operating cost for next three years $ 8000  salvage value after three years $ 2500  Present worth of defender is sum of present worth of future salvage value and present worth of future operating cost expenditures  Present worth of future salvage value $ Rs. -1,779.45  Present worth of future operating cost expenditure $ Rs. -19,214.65  Present worth of defender $ Rs. 17,435.20  Annual equivalent cost for present worth $ Rs. -7,259.13  Option 2 : Adopt new machine (challenger)  Defender can be sold for $ 10000  Cost of challenger $ 15000  Initial combines cash flow for this option $ 5000

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Replacement decision for printing machine

  UnitS.no Defender

1Initial investment cost for printing machine 2years back $ 20000

2 Expected machine life

 Year

s 5

3 Remaining life

 Year

s 3

4 Expected salvage value $ 5000

5 Repair cost for last year $ 5000

6 Present operating cost

$/ye

ar 80007 Salvage value deducted to $ 2500

8 Book value of machine $ 14693

9 Market value of machine $ 10000

10 Interest rate % 0.12

  Challenger  

11 Investment cost $ 15000

12 Useful life

year

s 3

13 Annual Operating cost $ 600014 Salvage value of new machine $ 5500

15 Interest rate % 0.12

  Option 1 : Keep the defender  

Annual operating cost for next three years $ 8000

  salvage value after three years $ 2500

 

Present worth of defender is sum of present worth of future salvage

value and present worth of future operating cost expenditures

  Present worth of future salvage value $

Rs.

-1,779.45

 

Present worth of future operating cost

expenditure $

Rs.

-19,214.65

  Present worth of defender $

Rs.

17,435.20

  Annual equivalent cost for present worth $

Rs.

-7,259.13

  Option 2 : Adopt new machine (challenger)  

Defender can be sold for $ 10000

  Cost of challenger $ 15000  Initial combines cash flow for this option $ 5000

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Present worth of new machine is sum of present worth of future

salvage value and present worth of future operating cost

expenditures

  Present worth of future salvage value $

Rs.

-3,914.79

 

Present worth of future operating cost

expenditure $

Rs.

-14,410.99

  Present worth $

Rs.

15,496.20

  Annual equivalent cost for present worth $

Rs.

-6,451.83

 

Annual difference between defender and

challenger $

Rs.

807.30

  Result  

The annual equivalent cost for defender is more than

challenger with a difference of $807.20 which makes the

replacement decision in favour of challenger

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Anova: Single Factor

SUMMARY 

GroupsCoun

t Sum Avera

geVariance

Mach 1 5124.6

5 24.93 1.0648

Mach 2 5113.0

5 22.61 0.778

Mach 3 5102.9

5 20.59 0.9205

ANOVA

Source of Variation SS df MS FP-

value F crit  

Between Groups47.16

4 223.58

2 25.6024.68E-

053.8852

94

Within Groups11.05

32 120.921

1

Total58.21

72 14

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Anova: Two-Factor WithReplication

SUMMARY B1 B2 Total A1

Count 2 2 4

Sum 64 74 138

Average 32 37 34.5

Variance 8 3221.666

67

 A2

Count 2 2 4

Sum 80 94 174Average 40 47 43.5

Variance 18 1828.333

33

Total

Count 4 4

Sum 144 168

Average 36 42

Variance 30 50

ANOVA

Source of Variation SS df MS FP-

value F crit  

Sample 162 1 1628.5263

160.0432

447.7086

47

Columns 72 1 723.7894

740.1234

37.7086

47

Interaction 2 1 20.1052

630.7618

617.7086

47

Within 76 4 19

Total 312 7

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  Models with Uncertainty (Stochastic Modeling)

 

Standard deviation, % 3Mean, % 25

S.No

Randomnumber

Probability

Z valueX = Zσ +

meanSystemCapacity

1 0.1531 -0.3469-

1.023106619 21.93068014 1.72

2 0.4018 -0.0982-

0.248723381 24.25382986 1.77

3 0.2910 -0.2090-

0.550581797 23.34825461 1.75

4 0.0369 -0.4631-

1.787589402 19.63723179 1.67

5 0.4346 -0.0654-

0.164676225 24.50597133 1.77

6 0.2788 -0.2212-

0.586552732 23.2403418 1.75

7 0.5496 0.0496 0.124541536 25.37362461 1.80

8 0.8092 0.3092 0.875017529 27.62505259 1.80

9 0.2110 -0.2890-

0.803105732 22.5906828 1.73

10 0.3240 -0.1760-

0.456594768 23.6302157 1.75

11 0.4649 -0.0351 -0.08801678 24.73594966 1.78

12 0.5974 0.0974 0.246733641 25.74020092 1.80

13 0.6046 0.1046 0.265362638 25.79608791 1.80

14 0.7678 0.2678 0.731661431 27.19498429 1.80

15 0.0479 -0.4521-

1.665098043 20.00470587 1.68

16 0.3896 -0.1104-

0.280243178 24.15927046 1.77

17 0.2718 -0.2282-

0.607462492 23.17761252 1.74

18 0.8410 0.3410 0.998444456 27.99533337 1.80

19 0.4304 -0.0696-

0.175425014 24.47372496 1.77

20 0.8505 0.3505 1.038393544 28.11518063 1.80

21 0.6820 0.1820 0.47334323 26.42002969 1.80

22 0.9201 0.4201 1.405664996 29.21699499 1.80

23 0.0682 -0.4318-

1.489449337 20.53165199 1.69

24 0.1551 -0.3449-

1.014730116 21.95580965 1.72

25 0.9851 0.4851 2.17155961 31.51467883 1.8026 0.7213 0.2213 0.586853353 26.76056006 1.80

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0.448399897

991 0.6432 0.1432 0.366962414 26.10088724 1.80

992 0.4517 -0.0483-

0.121380953 24.63585714 1.78

993 0.6855 0.1855 0.48315881 26.44947643 1.80

994 0.9029 0.4029 1.298019912 28.89405974 1.80

995 0.8975 0.3975 1.267255206 28.80176562 1.80

996 0.0526 -0.4474-

1.620179844 20.13946047 1.68

997 0.6576 0.1576 0.405951562 26.21785469 1.80

998 0.1597 -0.3403-

0.995711518 22.01286544 1.72

999 0.7453 0.2453 0.659699189 26.97909757 1.80

1000 0.2702 -0.2298-

0.612090248 23.16372926 1.74

1001 0.7840 0.2840 0.78571289 27.35713867 1.80

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