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RISK ANALYSIS  501



                                        Table 12.7 Portacom Simulation Results for ten Trials
                                                  Direct Labour Cost per  Parts Cost per    Units     Profit
                                        Trial            Unit (E)            Unit (E)       Sold       (E)

                                           1               45                  86.25        17 366   1 044 847
                                           2               43                  80.11        12 900    623 981
                                           3               45                  98.42        20 686   1 184 028
                                           4               46                  99.54        10 888    126 472
                                           5               45                  87.17        14 259    665 879
                                           6               45                  80.78        22 904   1 822 231
                                           7               43                  84.32        15 732    914 270
                                           8               43                  92.67        17 804   1 017 727
                                           9               45                  88.78         5 902    319 972
                                          10               45                  93.98        12 918    421 238
                                         Total             445                892.02       151 359   7 500 702
                                        Average           44.5                 89.20        15 136    750 070





                                      Simulation of the PortaCom Problem
                                      Usingan Excelworksheet,wesimulated thePortaComproject 500 times. The
                                      worksheet used to carry out the simulation is shown in Figure 12.4. Note that the
                                      simulation results for trials 6 through 495 have been hidden so that the results
                                      can be shown in a reasonably sized figure. If desired, the rows for these trials
                                      can be shown and the simulation results displayed for all 500 trials. The details
                                      of the Excel worksheet that provided the PortaCom simulation are described in
                                      Appendix 12.1.
                                         The simulation summary statistics in Figure 12.4 provide information about the
                                      risk associated with PortaCom’s new printer. The worst result obtained in a simu-
                                      lation of 500 trials is a loss of E785 234, and the best result is a profit of E2 367 058.
                      Excel worksheets for all  The mean profit is E698 457. Fifty-one of the trials resulted in a loss; thus, the
                      simulations presented in  estimated probability of a loss is 51/500 ¼ 0.1020.
                      this chapter are available
                      on the online platform  A histogram of simulated profit values is shown in Figure 12.5. We note that
                      that accompanies this  the distribution of profit values is fairly symmetric with a large number of
                      text.           values in the range of E250 000 to E1 250 000. The probability of a large loss
                                      or a large gain is small. Only three trials resulted in a loss more than E500 000,
                                      and only three trials resulted in a profit greater than E2 000 000. However, the
                                      probability of a loss is significant. Forty-eight of the 500 trials resulted in a loss
                                      in the E0to E500 000 range – almost 10 per cent. The modal category, the one
                                      with the largest number of values, is the range of profits between E750 000 and
                      Simulation studies enable  E1 000 000.
                      an objective estimate of  In comparing the simulation approach to risk analysis to the what-if approach,
                      the probability of a loss,  we see that much more information is obtained by using simulation. With the what-
                      which is an important
                      aspect of risk analysis.  if analysis, we learned that the base-case scenario projected a profit of E710 000.
                                      Theworst-casescenarioprojected alossof E847 000, and the best-case scenario
                                      projected a profit of E2 591 000. From the 500 trials of the simulation run, we see
                                      that the worst-and best-case scenarios, although possible, are unlikely. None of the
                                      500 trials provided a loss as low as the worst-case or a profit as high as the best-
                                      case. Indeed, the advantage of simulation for risk analysis is the information it
                                      provides on the likely values of the output. We now know the probability of a loss,






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