Consider the following table which presents information on the returns in million pounds from a range of investment project alternatives for a company depending on the performance of the economy: the economy may be in a recession, performing at a normal level or booming. SCENARIO RECESSION NORMAL ВОOM Project A Project B Project C 12 18 28 10 22 32 11 21 31 a) Briefly describe and apply the following decision criteria to select the optimal project: Maxi – min rule; Мaxi i. ii. - max rule; iii. Mini max regret rule. b) Using data provided below, compute appropriate values and fill the table below to help identify the least risky and most risky project among alternatives A, B and C using appropriate criteria. Project EV D2 Var St.dev Coef.Of Var 12 0.2 A 18 0.7 28 0.1 10 0.3 В 22 0.6 32 0.1 11 0.1 C 21 0.8 31 0.1 Where t denotes the profit, P is the probability, EV stand for Expected value, D is the Deviation, D$ denote the deviation square, St. dev is the standard deviation and finally Coef.of Var is the coefficient of variation.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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Consider the following table which presents information on the returns in million pounds
from a range of investment project alternatives for a company depending on the performance
of the economy: the economy may be in a recession, performing at a normal level or
booming.
SCENARIO
RECESSION
NORMAL
ВОOM
Project A
Project B
Project C
12
18
28
10
22
32
11
21
31
a) Briefly describe and apply the following decision criteria to select the optimal project:
i.
Maxi – min rule;
ii.
Махi
- max rule;
11.
Mini max regret rule.
b) Using data provided below, compute appropriate values and fill the table below to help
identify the least risky and most risky project among alternatives A, B and C using
appropriate criteria.
Project
P
EV
D
D2
Var
St. dev Coef.Of Var
12
0.2
A
18
0.7
28
0.1
10
0.3
В
22
0.6
32
0.1
11
0.1
C
21
0.8
31
0.1
Where n denotes the profit, P is the probability, EV stand for Expected value, D is the
Deviation, D$ denote the deviation square, St. dev is the standard deviation and finally
Coef.of Var is the coefficient of variation.
Transcribed Image Text:Consider the following table which presents information on the returns in million pounds from a range of investment project alternatives for a company depending on the performance of the economy: the economy may be in a recession, performing at a normal level or booming. SCENARIO RECESSION NORMAL ВОOM Project A Project B Project C 12 18 28 10 22 32 11 21 31 a) Briefly describe and apply the following decision criteria to select the optimal project: i. Maxi – min rule; ii. Махi - max rule; 11. Mini max regret rule. b) Using data provided below, compute appropriate values and fill the table below to help identify the least risky and most risky project among alternatives A, B and C using appropriate criteria. Project P EV D D2 Var St. dev Coef.Of Var 12 0.2 A 18 0.7 28 0.1 10 0.3 В 22 0.6 32 0.1 11 0.1 C 21 0.8 31 0.1 Where n denotes the profit, P is the probability, EV stand for Expected value, D is the Deviation, D$ denote the deviation square, St. dev is the standard deviation and finally Coef.of Var is the coefficient of variation.
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