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492   CHAPTER 12 SIMULATION



                              12.1    Risk Analysis


                                     Risk analysis is the process of predicting the outcome of a decision in the face of
                                     uncertainty. In this section, we describe a problem that involves considerable uncer-
                                     tainty: the development of a new product. We first show how risk analysis can be
                                     conducted without using simulation; then we show how a more comprehensive risk
                                     analysis can be conducted with the aid of simulation.

                                     PortaCom Project
                                     PortaCom manufactures laptop computers and related equipment. PortaCom’s prod-
                                     uct design group developed a prototype for a new portable printer. The new printer
                                     features an innovative design and has the potential to capture a significant share of the
                                     portable printer market. Preliminary marketing and financial analyses provided the
                                     following selling price, first-year administrative cost and first-year advertising cost:
                                                                Selling price ¼ e249 per unit
                                                           Administrative cost ¼ e400 000
                                                             Advertising cost ¼ e600 000
                                     In the simulation model for the PortaCom problem, the preceding values are
                                     constants and are referred to as the parameters of the model.
                                       The cost of direct labour, the cost of parts and the first-year demand for the
                                     printer are not known with certainty. At this stage of the planning process, Porta-
                                     Com’s best estimates of these inputs are E45 per unit for the direct labour cost,E90
                                     per unit for the parts cost and 15 000 units for the first-year demand. PortaCom
                                     would like an analysis of the first-year profit potential for the printer. Because of
                                     PortaCom’s tight cash flow situation, management is particularly concerned about
                                     the potential for a financial loss.

                                     What-If Analysis
                                     One approach to risk analysis is called what-if analysis. With a selling price of E249
                                     per unit and administrative plus advertising costs equal to E400 000 + E600 000 ¼
                                     E1 000 000, the PortaCom profit model is:
                                      Profit ¼ðe249   Direct labour cost per unit   Parts cost per unitÞðDemandÞ  e1 000 000

                                     Letting
                                                            c 1 ¼ direct labour cost per unit
                                                            c 2 ¼ parts cost per unit
                                                             x ¼ first-year demand
                                     the profit model for the first year can be written as follows:


                                                          Profit ¼ð249   c 1   c 2 Þx   1 000 000    (12:1)


                                       Recall that PortaCom’s best estimates of the direct labour cost per unit, the parts
                                     cost per unit and first-year demand are E45, E90 and 15 000 units, respectively.
                                     These values constitute the base-case scenario for PortaCom. Substituting these
                                     values into Equation (12.1) yields the following profit projection:

                                                   Profit ¼ð249   45   90Þð15 000Þ  1 000 000 ¼ 710 000
                                     Thus, the base-case scenario leads to an anticipated profit of E710 000.



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