Anand Publishing Company received a six-chapter manuscript for a new college textbook. The editor of the college division is familiar with the manuscript and estimated a 0.6513 probability that the textbook will be successful. If successful, a profit of $950,000 will be realized. If the company decides to publish the textbook and it is unsuccessful, a loss of $150,000 will occur. Before making the decision to accept or reject the manuscript, the editor is considering sending the manuscript out for review. A review process provides either a favorable (F) or an unfavorable (U) evaluation of the manuscript. Past experience with the review process suggests probabilities P(F) = 0.7 and P(U) = 0.3 apply. Let s₁ = the textbook is successful, and S₂ = the textbook is unsuccessful. The editor's initial probabilities of s₁ and s₂ will be revised based on whether the review is favorable or unfavorable. The revised probabilities are as follows:
Anand Publishing Company received a six-chapter manuscript for a new college textbook. The editor of the college division is familiar with the manuscript and estimated a 0.6513 probability that the textbook will be successful. If successful, a profit of $950,000 will be realized. If the company decides to publish the textbook and it is unsuccessful, a loss of $150,000 will occur. Before making the decision to accept or reject the manuscript, the editor is considering sending the manuscript out for review. A review process provides either a favorable (F) or an unfavorable (U) evaluation of the manuscript. Past experience with the review process suggests probabilities P(F) = 0.7 and P(U) = 0.3 apply. Let s₁ = the textbook is successful, and S₂ = the textbook is unsuccessful. The editor's initial probabilities of s₁ and s₂ will be revised based on whether the review is favorable or unfavorable. The revised probabilities are as follows:
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Transcribed Image Text:Anand Publishing Company received a six-chapter manuscript for a new college textbook. The editor of the college division is
familiar with the manuscript and estimated a 0.6513 probability that the textbook will be successful. If successful, a profit of
$950,000 will be realized. If the company decides to publish the textbook and it is unsuccessful, a loss of $150,000 will occur.
Before making the decision to accept or reject the manuscript, the editor is considering sending the manuscript out for review.
A review process provides either a favorable (F) or an unfavorable (U) evaluation of the manuscript. Past experience with the
review process suggests probabilities P(F) = 0.7 and P(U) = 0.3 apply. Let s₁ = the textbook is successful, and
$₂ = the textbook is unsuccessful. The editor's initial probabilities of s₁ and s₂ will be revised based on whether the review is
favorable or unfavorable. The revised probabilities are as follows:
P(S₁IF): = 0.75
P(S₂IF): = 0.25
P(S₁IU) = 0.421
P(s₂|U) = = 0.579
(a) Construct a decision tree assuming that the company will first make the decision of whether to send the manuscript out
for review and then the decision to accept or reject the manuscript. (For each blank, enter the probability associated
with the event.)
1
Review
Do Not Review
2
Favorable
3
0.7
Unfavorable
0.3
Accept
Reject
4
5
6
Accept
Reject
Accept
Reject
8
Success
950000 X
Failure
-150000 X
Success
950000 X
Failure
-150000
Success
Do not review, and accept.
Always reject.
Review, and then accept if favorable or reject if unfavorable.
Review, and then always accept.
Always accept.
950
950000 X
Failure
150000
Do not review, and accept.
Always reject.
Review, and then accept if favorable or reject if unfavorable.
Review, and then always accept.
Always accept.
-150
(d) What is the expected value of perfect information (in $)?
EVPI =
$372563.50
0
X
950
- 150
0
(b) Assuming the manuscript review process is free, using the expected value approach, determine the optimal decision
strategy.
950
-150
(c) If the manuscript review costs $5,000, what is your recommendation?
0
What does this EVPI suggest for the company?
This EVPI suggest a better procedure for assessing the market potential for the textbook may be
worthwhile
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Step 1: State the given information.
VIEWStep 2: a) Draw the decision tree.
VIEWStep 3: b) Determine the optimal decision strategy using expected value approach.
VIEWStep 4: b) Determine the optimal decision strategy using expected value approach given review cost.
VIEWStep 5: d) Calculate expected value of perfect information.
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