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STEP 7: DETERMINE, EVALUATE, AND SELECT WASTE MINIMIZATION ALTERNATIVES               163




                                      Positive cash flows (in)

                            F 1       F 2                        F n



                    0


                                                                           period
                             1        2                           n



                    F 0
                                     Negative cash flows (out)
                     Figure 8.25      Cash-flow diagram example.






                    currently recycles plastics and metals. If the organization currently ships comingled
                    plastics and metals to a recycling processor, a process change could be implement-
                    ed that requires employees to separate plastics from metals before shipment. There
                    is little to no initial investment with the example, but there will added labor costs for
                    separation versus additional revenue generated by the finer sort to the processor. If
                    the additional revenues outweigh the additional costs, the alternative should be
                    implemented.
                      For projects with significant initial investments or capital costs, a more detailed
                    profitability analysis is needed. The three standard measures of profitability are

                    1 Payback period
                    2 Internal rate of return (IRR)
                    3 Net present value (NPV)


                      The payback period for a project is the amount of time it requires to recover the ini-
                    tial cash outlay for the project. The formula for calculating the payback period on a
                    pre tax basis in years is



                                        Payback period =         capital investment
                                                                      r
                                                           annual operating cost savings


                      For example, suppose a manufacturer installs a cardboard baler for a total cost of
                    $65,000. If the baler is expected to save the company $20,000 per year, then the pay-
                    back period is 3.25 years. Payback period is typically measured in years. However,
                    some alternatives may have payback periods in terms of months. Many organizations
                    use the payback period as a screening method before conducting a full financial analysis.
                    If the alternative does not meet a predetermined threshold, the alternative is rejected.
                    Payback periods in the range of 3 to 4 years are usually considered acceptable for
                    low-risk investments. Again, this method is recommended for quick assessments of
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