PLEASE SOLVE THE PROBLEM BY USING UPSTREAM, BACKSTREAM AND LINE YIELD EQUATIONS. NOT WITH TABLE. THANKS

8. Product A and by-products B and C can be produced with the produc- tion line shown in Figure 5.11. The average percentage of the input prod- uct that will be channeled into a branch is shown by the numerical value above that branch. The cost data for each unit of input in each stage are given in the accompanying table. Determine the average cost of each unit of products A, B, and C. 0.8 0.7 13 .03 Product A 0.3 Rejects 03 Rejects 0.4 Product 0.7 Product * Stage 1 Cost ($) | 10 2 30 3 15 4 18 5 12 6 13 7 5 Question FIGURE 5.11 Product A and by-products B and C can be produced with the produc- tion line. Line yield = (1-P)(1-P)(1-P3)... (1-P) N = Required output / Yield of the line P; percent of defectives in state i N. number of units req. at the beginning of the process Nonserial systems formed by rework and/or repair operations: yield = (1-P) (1-a) - a = P,(1-P) TotalCost = N(C+C2!;) 1-a Pi percent of defectives in state i N number of units at the beginning of the process Operation 1-P Good units 1 - PR Rework 21 Adapted from Sule, 2009 Rejects Recycling of rejected units - backstream Recycling can be of the form in which the unit is as good after repair as a unit coming from the operation itself. yield = (1-P1) +P/(1-P2) TotalCost = NC, + NP_C2 Operation 1 - Good units PUL 1-P2 Rework 2 2 Rejects Adapted from Sule, 2009 Recycling of rejected units - upstream 8. Product A and by-products B and C can be produced with the produc- tion line shown in Figure 5.11. The average percentage of the input prod- uct that will be channeled into a branch is shown by the numerical value above that branch. The cost data for each unit of input in each stage are given in the accompanying table. Determine the average cost of each unit of products A, B, and C. 0.8 0.7 13 .03 Product A 0.3 Rejects 03 Rejects 0.4 Product 0.7 Product * Stage 1 Cost ($) | 10 2 30 3 15 4 18 5 12 6 13 7 5 Question FIGURE 5.11 Product A and by-products B and C can be produced with the produc- tion line. Line yield = (1-P)(1-P)(1-P3)... (1-P) N = Required output / Yield of the line P; percent of defectives in state i N. number of units req. at the beginning of the process Nonserial systems formed by rework and/or repair operations: yield = (1-P) (1-a) - a = P,(1-P) TotalCost = N(C+C2!;) 1-a Pi percent of defectives in state i N number of units at the beginning of the process Operation 1-P Good units 1 - PR Rework 21 Adapted from Sule, 2009 Rejects Recycling of rejected units - backstream Recycling can be of the form in which the unit is as good after repair as a unit coming from the operation itself. yield = (1-P1) +P/(1-P2) TotalCost = NC, + NP_C2 Operation 1 - Good units PUL 1-P2 Rework 2 2 Rejects Adapted from Sule, 2009 Recycling of rejected units - upstream