Toys Everyday must decide which course of action to follow in promoting a new Gizmo toy it has developed. Initially management must decide whether to market this toy or to conduct a test marketing programme. After test marketing the Gizmo, management must decide whether to abandon it or distribute it nationally. A national success will (NS) will increase profits by $1,000,000 and a failure (NF) will reduce profits by $200,000. Abandoning the product will not affect profits. The test marketing will cost the company a further $20,000. After you have computed the revised probabilities round to two decimal places a) Construct the appropriate decision tree to help Toys make the appropriate decisions. This tree must be constructed in logical order with labels and net payoffs It also includes the revised probabilities b) Fold back the decision tree to determine the best strategy for Toys; you must state this strategy. What is the final expected profit? c) What is the expected value of sample information(EVSI)- the most that should be paid to the marketing firm for the test? d) Calculate the expected value of perfect information (EVPI)- the most that should be paid to an expert for perfect prediction of the uncertain outcomes. e) What is the efficiency of sample information?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%

Toys Everyday must decide which course of action to follow in promoting a new Gizmo toy it has developed. Initially management must decide whether to market this toy or to conduct a test marketing programme. After test marketing the Gizmo, management must decide
whether to abandon it or distribute it nationally.
A national success will (NS) will increase profits by $1,000,000 and a failure (NF) will reduce profits by $200,000. Abandoning the product will not affect profits. The test marketing will cost the company a further $20,000. 

After you have computed the revised probabilities round to two decimal places
a) Construct the appropriate decision tree to help Toys make the appropriate decisions. This tree must be constructed in logical order with labels and net payoffs
It also includes the revised probabilities 
b) Fold back the decision tree to determine the best strategy for Toys; you must state this strategy. What is the final expected profit?
c) What is the expected value of sample information(EVSI)- the most that should be paid to the marketing firm for the test?
d) Calculate the expected value of perfect information (EVPI)- the most that should be paid to an expert for perfect prediction of the uncertain outcomes.
e) What is the efficiency of sample information?

Decision Alternatives NS(NATIONAL | NF(NATIONAL FAILURE)
SUCCESS)
Market
1000,000
($200,000)
Abandon
Prior Probabilities
P(S) = 0.45
P(F) = .55
Conditional probability for a given state of nature where test results are either Favourable (F)
or negative (U): P(F|NS) = 0.88;
P(U|NF) = 0.82
P(U|NS) = 0.12;
P(F|NF) = 0.18;
Transcribed Image Text:Decision Alternatives NS(NATIONAL | NF(NATIONAL FAILURE) SUCCESS) Market 1000,000 ($200,000) Abandon Prior Probabilities P(S) = 0.45 P(F) = .55 Conditional probability for a given state of nature where test results are either Favourable (F) or negative (U): P(F|NS) = 0.88; P(U|NF) = 0.82 P(U|NS) = 0.12; P(F|NF) = 0.18;
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON