Hale's Productions is considering producing a pilot for a comedy series in the hope of selling it to a major streaming service. The streaming service may decide to reject the series, but it may also decide to purchase the rights to the series for either one or two years. At this point in time, Hale may either produce the pilot and wait for the streaming service's decision or transfer the rights for the pilot and series to a competitor for $100,000. Hale's decision alternatives and profits (in thousands of dollars) are as follows: State of Nature

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
Hale's Productions is considering producing a pilot for a comedy series in the hope of selling it to a major streaming service. The
streaming service may decide to reject the series, but it may also decide to purchase the rights to the series for either one or two
years. At this point in time, Hale may either produce the pilot and wait for the streaming service's decision or transfer the rights
for the pilot and series to a competitor for $100,000. Hale's decision alternatives and profits (in thousands of dollars) are as
follows:
Decision Alternative
Produce pilot, d₁
Sell to competitor, d₂ 100
P(F) = 0.69
P(U)= 0.31
P(S₁IF) = 0.08
P(S₂IF) = 0.28
P(S3|F) = 0.64
i
Decision Tree
Agency
1
Reject, S₁
The probabilities for the states of nature are P(S₁) = 0.1947, P(S₂) = 0.3141, and P(S3) = 0.4912. For a consulting fee of $5,000,
an agency will review the plans for the comedy series and indicate the overall chances of a favorable streaming service reaction to
the series. Assume that the agency review will result in a favorable (F) or an unfavorable (U) review and that the following
probabilities are relevant.
No Agency
sell to competitor, d,
P(S₁ IU) = 0.45
P(S₂|U) = 0.39
P(S3|U) = 0.16
(a) Construct a decision tree for this problem. (Enter your answers in thousands of dollars.)
Description
F
-100
U
X thousand dollars
3
4
State of Nature
5
1 Year, S₂ 2 Years, S3
50
(g) What is the recommended decision?
100
What is the expected value (in thousands of dollars)?
100
thousand dollars
(f) Is the agency's information worth the $5,000 fee?
Yes
No
6
Agency; if unfavorable, sell to competitor
Agency; if favorable, produce the pilot
No agency; produce the pilot
No agency; sell to competitor
8
9
10
11
S
S₂
S1
$2
$3
(b) What is the recommended decision if the agency opinion is not used?
O produce pilot, d₁
$2
$3
150
S
100
S3
(c) What is the expected value of perfect information (in thousands of dollars)?
-5
X thousand dollars
(d) What is Hale's optimal decision strategy assuming the agency's information is used?
If favorable, produce
If unfavorable, sell
(e) What is the expected value (in thousands of dollars) of the agency's information? (Round your answer to two decimal
places.)
96.38
12.6
66.24
xx
What is the maximum that Hale should be willing to pay (in thousands of dollars) for the information? (Round your answer
to two decimal places.)
3.62
X thousand dollars
Transcribed Image Text:Hale's Productions is considering producing a pilot for a comedy series in the hope of selling it to a major streaming service. The streaming service may decide to reject the series, but it may also decide to purchase the rights to the series for either one or two years. At this point in time, Hale may either produce the pilot and wait for the streaming service's decision or transfer the rights for the pilot and series to a competitor for $100,000. Hale's decision alternatives and profits (in thousands of dollars) are as follows: Decision Alternative Produce pilot, d₁ Sell to competitor, d₂ 100 P(F) = 0.69 P(U)= 0.31 P(S₁IF) = 0.08 P(S₂IF) = 0.28 P(S3|F) = 0.64 i Decision Tree Agency 1 Reject, S₁ The probabilities for the states of nature are P(S₁) = 0.1947, P(S₂) = 0.3141, and P(S3) = 0.4912. For a consulting fee of $5,000, an agency will review the plans for the comedy series and indicate the overall chances of a favorable streaming service reaction to the series. Assume that the agency review will result in a favorable (F) or an unfavorable (U) review and that the following probabilities are relevant. No Agency sell to competitor, d, P(S₁ IU) = 0.45 P(S₂|U) = 0.39 P(S3|U) = 0.16 (a) Construct a decision tree for this problem. (Enter your answers in thousands of dollars.) Description F -100 U X thousand dollars 3 4 State of Nature 5 1 Year, S₂ 2 Years, S3 50 (g) What is the recommended decision? 100 What is the expected value (in thousands of dollars)? 100 thousand dollars (f) Is the agency's information worth the $5,000 fee? Yes No 6 Agency; if unfavorable, sell to competitor Agency; if favorable, produce the pilot No agency; produce the pilot No agency; sell to competitor 8 9 10 11 S S₂ S1 $2 $3 (b) What is the recommended decision if the agency opinion is not used? O produce pilot, d₁ $2 $3 150 S 100 S3 (c) What is the expected value of perfect information (in thousands of dollars)? -5 X thousand dollars (d) What is Hale's optimal decision strategy assuming the agency's information is used? If favorable, produce If unfavorable, sell (e) What is the expected value (in thousands of dollars) of the agency's information? (Round your answer to two decimal places.) 96.38 12.6 66.24 xx What is the maximum that Hale should be willing to pay (in thousands of dollars) for the information? (Round your answer to two decimal places.) 3.62 X thousand dollars
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 11 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.