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Life-cycle costing: Analysis of biofuel production systems  231


              Table 8.1 Technology matrix for chair life cycle (A p )
                                                                      Chair
                              Electricity  Wood     Production  Use of  disposal
                        Units  generation  production  of chair  chair  service
              Electricity  MJ  1         0           2         0      0
              Wood      kg    0          1           5         0      0
              Chair     Piece  0         0          1           5     0
              Broken    Piece  0         0          0          5       1
                chair
              Sitting   Years  0         0          0          10     0
                service




              Table 8.2 The price vector or the market value per unit of product or service (α)
              Product                             Market price
              Electricity                         5 €/MJ
              Wood                                1 €/kg
              Chair                               25 €/piece
              Broken chair                         2 €/piece
              Sitting service                     13.5 €/year

              for the identified products and services is presented in Table 8.2 and is equiv-
              alent to the price vector α. It is important to note that the negative market
              value for the broken chair is for the associated cost needed for its disposal.
              Also, note that, following the reinterpretation of Moreau and Weidema
              (2015), there is a market value assigned for sitting in the chair. While the
              user does not pay or get taxed for sitting, there is a value for the use of
              the chair and may be computed as the price of the chair (12.5 €) plus its
              disposal (1 €).
                 To calculate for the life-cycle cost associated with 1 year of sitting, the
              functional unit vector can be represented by Eq. (8.6). The scaling vector
              can then be obtained using Eq. (8.2) but for this example, the values are indi-
              cated in Eq. (8.7). This indicates that 1 MJ of electricity and 2.5 kg of wood
              are needed to produce 0.5 pieces of chairs to provide 1 year of sitting service.
                                               0
                                             0   1
                                             B  0 C
                                         f p ¼  B  0  C                   (8.6)
                                               0
                                             @   A
                                               1
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