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Operations Management




                    Notes          he expects demand to grow further. According to his estimates, the probability of strong growth
                                   is 55 per cent and weak growth is 45 per cent.
                                                              Figure 3.3:  A Decision  Tree

                                                                   Strong Growth
                                                                                     Revenue – Move Cost
                                                  Move              0.55
                                                                   Weak  Growth      Revenue – Move Cost
                                                                    0.45
                                                                   Strong Growth    Revenue – Expand Cost
                                                                    0.55
                                     Mehta         Expand
                                     Store                         Weak   Growth
                                                                                     Revenue – Expand Cost
                                                                    0.45
                                                                             Expand
                                                                                            Rev – Expand Cost
                                                  Wait     Strong Growth
                                                  And      0.55               Do nothing
                                                  See                                       Rev – Expand Cost


                                                           Weak Growth
                                                           0.45              Revenue

                                   He is considering three options. The first is to move to Lajpat Nagar Market. This will require an
                                   investment of   200 lacs. With strong growth, he estimates profits at   180 lacs annually, while
                                   with weak growth the profits would be   110 lacs. The second option is to expand in Gurunanak
                                   Market itself. This will require an investment of   80 lacs. With  strong growth, the profit is
                                   estimated to be   150 lacs annually and with weak growth the profit would be   90 lacs. His third
                                   option is to wait and see. Under those circumstances, he expects profits to be   145 lacs annually
                                   if there is strong growth, and   80 lacs annually  if the growth is  weak.   His investment in
                                   expanding the store would, however, go up to   90 lacs, if the investment is made next year.
                                   Profits with the current store would be   60 lacs. These options have been tabulated in Table 3.4.
                                                                Table  3.4: Mehta  Store


                                       Options              Annual Profits                  Remarks
                                                  Strong Growth     Weak Growth
                                                  Probability 55%   Probability 45%
                                      Move         180 lacs         110 lacs        Investment (   150 lacs)
                                      Expand       150 lacs          90 lacs        Investment (  80 lacs)
                                      Wait & See    145 lacs         90 lacs        Investment (  90 lacs next
                                                                                    year)

                                   The problem is to find the expected profits over 5 years, and to choose the best alternative. Start
                                   on the right hand side of the decision tree, and work back towards the left, multiplying the
                                   probability with the expected returns over 5 years. Subtract the cost of each option from the
                                   outcome value that you have already calculated. This will give you the benefit of that decision.
                                   At any branch, take the best value. For example, in the 'wait and see' option, on the 'strong
                                   growth' branch, eliminate the smaller value as has been shown in Figure 3.3.
                                   The calculations for Mehta Store that are depicted in Figure 3.4 are calculated below:
                                       Move, Strong growth = 180 × 5 – 150 = 750
                                       Move, Weak growth = 110 × 5 – 150 = 400





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