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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 $20 million production facility. FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC. Profit ($ millions) High Demand 34 0.5 Building Facility ($20 million) Medium Demand 0.3 20 Low Demand 0.2 10 Successful 0.5 Start R&D Project ($5 million) Sell Rights 20 1 Not Successful 0.5 Do Not Start the R&D Project 0 The decision tree is shown in Figure 4.16. The profit projection for cach outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is 559 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. 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 Probability Possible Profit $34M $20M $10M -$5M Total Probability