250 INCREMENTALANALYSIS
FIGURE 8-5 Solving
multiple-alternative problems by
successive two-alternative analyses.
Three Alternatives
A~Y'i'
B ~1 Bestof3
C tLI Alternatives
Four Alternatives
1\vo-Alternative Analysis
J
K
L
M
Best of 4
Alternatives
Five Alternatives
1\vo-Alternative Analysis
p
Best of 5
Altemlttives
Q
R
S
T
The two example problems show us some aspects of incremental analysis. We now will
examine some multiple-alternativeproblems. We can solve multiple-alternativeproblems
by means of present worth and annual cash flow analysis without any difficulties.Rate of
return analysis requires that the differences between two alternatives must be examined to
see whether either is desirable. Now, if we can choose between two alternatives,then by a
successiveexamination we can choose from multiple alternatives.Figure 8-5 illustrates the
method.
Consider three mutually exclusive alternatives:
A
$2000
~41O~
Initial cost
Unifofrii annual bem5fit
B
$4000
639
C
$5000
700"
Each alternative has a 20-year life and no salvage value. If the MARR is 6%, which alternative
II shouldhe,selected? = 1S; :
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