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3.6 case 1 decision theory
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Unit No.3.
DECISION SCIENCE
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean, EDP & Associate Professor MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in
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302-DECISION SCIENCE
Unit No.3. Decision Theory
3.6 Case 1 Decision
Theory
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean EDP & Associate Professor MBA
2
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in
4. www.sanjivanimba.org.in
Case 1: Decision Theory
Suresh finds the probability of Demand distribution of
Luxury Car S as follows-
The selling price of car is Rs. 10,00,000 and it costs to
Suresh Rs. 6,00,000. Suresh has always followed a rule for
Initial purchase- purchase 3 cars.
Find the expected daily profit under the decision rule of
buying the three cars each morning. If fees for perfect
information is Rs. 1,00,000. Calculate the expected
monetary value of the venture with perfect Information.
Probability of Demand 0.2 0.4 0.1 0.3
Demand of Car each day 1 2 3 4
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Case 1: Decision Theory
Let,
N1- State that the demand is 1
N2- State that the demand is 2
N3- State that the demand is 3
N4- State that the demand is 4
And,
S1- Strategy of Buying 1 car
S2- Strategy of Buying 2 car
S3- Strategy of Buying 3 car
S4- Strategy of Buying 4 car
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Case 1: Decision Theory
STRATEGIES STATES OF NATURE/DEMAND
N1
(0.2)
N2
(0.4)
N3
(0.1)
N4
(0.3)
S1 4 4 4 4
S2 -2 8 8 8
S3 -8 2 12 12
S4 -14 -4 6 16
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Case 1: Decision Theory
Answer:
a. Expected Daily Profit under the decision rule of buying three cars each day is
S3 i.e. Rs. 4 Lac
b. The Optimal strategy is Strategy S2 i.e. Buying 2 cars each day
c. EMVPI = (0.2*4) + (0.4*8) + (0.1*12) + (0.3*16) = 10 Lac
d. VPI= 10 Lac – 6 Lac = 4 Lac
STRATEGIES
STATES OF NATURE/DEMAND
N1
(0.2)
N2
(0.4)
N3
(0.1)
N4
(0.3)
EMV
S1 4 4 4 4 (0.2*4) + (0.4*4) + (0.1*4) + (0.3*4) = 4
S2 -2 8 8 8 6 ← Max
S3 -8 2 12 12 4
S4 -14 -4 6 16 1