Hemmingway, Inc., is considering a $5 million research and development (R&D) project. Profit projections appear promising, but Hemmingway's president is concerned because the probability that the R&D project will be successful is only 0.50. Furthermore, the president knows that even if the project is successful, it will require that the company build a new production facility at a cost of $20 million in order to manufacture the product. If the facility is built, uncertainty remains about the demand and thus uncertainty about the profit that will be realized. Another option is that if the R&D project is successful, the company could sell the rights to the product for an estimated $25 million. Under this option, the company would not build the $20 million production facility.   The decision tree is shown in Figure 4.16. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59 million. However, the cost of the R&D project ($5 million) and the cost of the production facility ($20 million) show the profit of this outcome to be $59 − $5 − $20 = $34 million. Branch probabilities are also shown for the chance events.   Analyze the decision tree to determine whether the company should undertake the R&D project. If it does, and if the R&D project is successful, what should the company do?   What is the expected value of your strategy? Expected value = $  fill in the blank 2 M What must the selling price be for the company to consider selling the rights to the product? Payoff for sell rights would have to be $  fill in the blank 3M or more. In order to recover the $5M R&D cost, the selling price would have to be $  fill in the blank 4M or more. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places. Possible Profit Associated Probability $34M fill in the blank 5 $20M fill in the blank 6 $10M fill in the blank 7 -$5M fill in the blank 8   fill in the blank 9

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
icon
Concept explainers
Topic Video
Question

Problem 4-17

Hemmingway, Inc., is considering a $5 million research and development (R&D) project. Profit projections appear promising, but Hemmingway's president is concerned because the probability that the R&D project will be successful is only 0.50. Furthermore, the president knows that even if the project is successful, it will require that the company build a new production facility at a cost of $20 million in order to manufacture the product. If the facility is built, uncertainty remains about the demand and thus uncertainty about the profit that will be realized. Another option is that if the R&D project is successful, the company could sell the rights to the product for an estimated $25 million. Under this option, the company would not build the $20 million production facility.

 

The decision tree is shown in Figure 4.16. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59 million. However, the cost of the R&D project ($5 million) and the cost of the production facility ($20 million) show the profit of this outcome to be $59 − $5 − $20 = $34 million. Branch probabilities are also shown for the chance events.

 

  1. Analyze the decision tree to determine whether the company should undertake the R&D project. If it does, and if the R&D project is successful, what should the company do?

     

    What is the expected value of your strategy?

    Expected value = $  fill in the blank 2 M

  2. What must the selling price be for the company to consider selling the rights to the product?

    Payoff for sell rights would have to be $  fill in the blank 3M or more. In order to recover the $5M R&D cost, the selling price would have to be $  fill in the blank 4M or more.

  3. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places.


    Possible Profit
    Associated Probability
    $34M fill in the blank 5
    $20M fill in the blank 6
    $10M fill in the blank 7
    -$5M fill in the blank 8
      fill in the blank 9
FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC.
Profit ($ millions)
High Demand
0.5
34
Building Facility ($20 million),
Medium Demand
20
0.3
Low Demand
10
0.2
Successful
3
0.5
Start R&D Project ($5 million)
Sell Rights
20
Not Successful
-5
0.5
Do Not Start the R&D Project
Transcribed Image Text:FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC. Profit ($ millions) High Demand 0.5 34 Building Facility ($20 million), Medium Demand 20 0.3 Low Demand 10 0.2 Successful 3 0.5 Start R&D Project ($5 million) Sell Rights 20 Not Successful -5 0.5 Do Not Start the R&D Project
The decision tree is shown in Figure 4.16. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59
million. However, the cost of the R&D project ($5 million) and the cost of the production facility ($20 million) show the profit of this outcome to be $59 - $5 - $20 = $34 million. Branch
probabilities are also shown for the chance events.
a. Analyze the decision tree to determine whether the company should undertake the R&D project. If it does, and
the R&D project is successful, what should the company do?
What is the expected value of your strategy?
Expected value = $
M
b. What must the selling price be for the company to consider selling the rights to the product?
Payoff for sell rights would have to be $
M or more. In order to recover the $5M R&D cost, the selling price would have to be $
M or more.
c. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places.
Associated
Possible Profit
Probability
$34M
$20M
$10M
-$5M
Transcribed Image Text:The decision tree is shown in Figure 4.16. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59 million. However, the cost of the R&D project ($5 million) and the cost of the production facility ($20 million) show the profit of this outcome to be $59 - $5 - $20 = $34 million. Branch probabilities are also shown for the chance events. a. Analyze the decision tree to determine whether the company should undertake the R&D project. If it does, and the R&D project is successful, what should the company do? What is the expected value of your strategy? Expected value = $ M b. What must the selling price be for the company to consider selling the rights to the product? Payoff for sell rights would have to be $ M or more. In order to recover the $5M R&D cost, the selling price would have to be $ M or more. c. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places. Associated Possible Profit Probability $34M $20M $10M -$5M
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar 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.