DECISION ANALYSIS AND MODELING ARAVIND – 09901366442 – 09902787224
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ARAVIND – 09901366442 – 09902787224
DECISION
ANALYSIS AND MODELING
1. Observe any government
department or service process that consumes limited resources and/or has
multiple restricts, and explain what are artificial variables and why do we
need them? Also using suitable example discuss how artificial variables differ from
slack and surplus variables?
2. Obtain an initial basic
feasible solution to the following transportation problem using the Vogel’s
Approximation Method.
|
WAREHOUSE
|
STORES
|
AVAILABILITY
|
|||
|
I
|
II
|
III
|
IV
|
||
|
A
|
7
|
3
|
5
|
5
|
34
|
|
B
|
5
|
5
|
7
|
6
|
15
|
|
C
|
8
|
6
|
6
|
5
|
12
|
|
D
|
6
|
1
|
6
|
4
|
19
|
|
DEMAND
|
21
|
25
|
17
|
17
|
80
|
3. A processor of frozen
fruits has to decide which crop to cultivate in which geographical area. There
are two strategies available: to plant apples and to plant pomegranates. There
are three possibilities of weather: perfect weather, variable weather, and bad
weather. The probability of perfect weather is 0.25, that of variable weather
is 0.50 and that of bad weather is 0.25. The outputs of the two crops, measured
in dollars, under the different conditions, are known. The utility of the firm
is to be measured by the dollar amounts as shown in the following payoff table.
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ACTIONS
|
EVENTS
|
||
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PERFECT
WEATHER
|
VARIABLE
WEATHER
|
BAD
WEATHER
|
|
|
CULTIVATE
APPLES
|
40000
|
30000
|
20000
|
|
CULTIVATE
POMEGRANATES
|
70000
|
20000
|
0
|
a) Prepare the expected
payoff table.
b) What action should
the processor select?
Assignment Solutions, Case study Answer sheets
Project Report and Thesis contact
ARAVIND – 09901366442 – 09902787224
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