Assignment 1

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MRE 5001 Assignment 1: Hints for those who made mistakes
1
Question 2.

B
Investment -10,000.00
Annual receipts 3,000.00
Salvage Value 2,000.00
MARR 15%
PW Receipts 10,056.47
PW Salvage 994.35
Total PW of cash inflow 11,050.82
PW of investment -10000.00
NET PW 1,050.82
Annual Receipts 3,000.00
Annual Costs -2,686.52
NET AW 313.48
FW Receipts 20,227.14
FW Salvage 2,000.00
Total FW of cash inflow 22,227.14
FW of Investment -20,113.57
NET FW 2,113.57

Question 3
M ct =0.5hr
MTBMu = 2.0hrs
M pt = 2.0hrs
.
MTBMs =1000hrs
MTBM=
MTBMu MTBMs
1 1
1

= 1.996hrs
Failure rate
is assumed constant
MTBF = MTTF + MTTR = 2.5

= MTBF
1
= 0.400
MRE 5001 Assignment 1: Hints for those who made mistakes
2
pt

=

MTBM s
1
= 0.0010
M = ( )
( )( ) ( )( )
pt
M ct pt M pt
 
 


= 0.5037
MTBM M
MTBM
= 79.8011% (Achieved Availability).
Question 4.
M N
M
ct
ct


=61.48min
For 10% Risk, Z (Standardised normal Distribution Function) = 1.28
1
50
1
2
( )


 

N
i
Mctj Mct

= 16.63
Upper Limit =
N
Z
ct
___
M
,=64.49 min. is less than the specified limit of 65 min and therefore the
system has passed the test.