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Operations Research




                    Notes
                                                   Table 14.2: Probabilities and  PVs of  Projected Cash  Inflows
                                          Products      Initial Investment   PV of Cash       Probabilities
                                                                              Inflows
                                             A              $ 225,000                             1.00
                                                                              $ 450,000           0.40
                                                                              200,000             0.50
                                                                              –100,000            0.10
                                             B               80,000                               1.00
                                                                              320,000             0.20
                                                                              100,000             0.60
                                                                              –150,000            0.20

                                   Solution:
                                   The decision tree analyzing the two products follows:

                                                                   Decision  Tree






































                                   Hence based on the expected net present value, the company should choose product A over
                                   product B.



                                     Did u know?  The most widely used criterion for evaluating various courses of action under
                                     risk is the Expected Monetary Value (EMV) or Expected Value. EMV is the weighted sum
                                     of possible payoffs for each alternative.




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