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 demar $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 th a. 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 d Yes, the company should start the R&D project and if it is successful, then the company should build the facility. What is the expected value of your strategy? Expected value = $ 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 $ c. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places. Possible Profit $34M $20M $10M -$5M Total Probability 10 M Associated Probability 0.25 0.15 0.1 0.5 1 25 M or more. In order to recover the $5M R&D cost, the selling price would have to be $ 30 M or more.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Start R&D Project ($5 million)
Do Not Start the R&D Project
Possible Profit
Expected value = $
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 $
c. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places.
$34M
$20M
$10M
-$5M
10 M
Total Probability
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 outcon
($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
a. 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?
Yes, the company should start the R&D project and if it is successful, then the company should build the facility.
What is the expected value of your strategy?
Associated
Probability
0.25
0.15
Not Successful
0.5
0.1
Sell Rights
0.5
1
20
-5
0
25 M or more. In order to recover the $5M R&D cost, the selling price would have to be $
30 M or more.
Transcribed Image Text:Start R&D Project ($5 million) Do Not Start the R&D Project Possible Profit Expected value = $ 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 $ c. Develop a risk profile for the optimal strategy. If required, round your answers to two decimal places. $34M $20M $10M -$5M 10 M Total Probability 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 outcon ($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 a. 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? Yes, the company should start the R&D project and if it is successful, then the company should build the facility. What is the expected value of your strategy? Associated Probability 0.25 0.15 Not Successful 0.5 0.1 Sell Rights 0.5 1 20 -5 0 25 M or more. In order to recover the $5M R&D cost, the selling price would have to be $ 30 M or more.
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.
FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC.
Start R&D Project ($5 million)
Do Not Start the R&D Project
Successful
0.5
Not Successful
0.5
3
Building Facility ($20 million)
Sell Rights
Profit ($ millions)
34
High Demand
0.5
Medium Demand
0.3
Low Demand
0.2
20
10
20
-5
0
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 if the R&D project is successful, what should the company do?
Yes, the company should start the R&D project and if it is successful, then the company should build the facility.
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Transcribed Image Text: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. FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC. Start R&D Project ($5 million) Do Not Start the R&D Project Successful 0.5 Not Successful 0.5 3 Building Facility ($20 million) Sell Rights Profit ($ millions) 34 High Demand 0.5 Medium Demand 0.3 Low Demand 0.2 20 10 20 -5 0 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 if the R&D project is successful, what should the company do? Yes, the company should start the R&D project and if it is successful, then the company should build the facility. Previous Next >
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