2.28. Three products are produced on the same line. Task times are shown in Table 2.12. One half of demand is for product A. The other one half of demand is evenly split between products B and C. Table 2.12 Task Times for Problem 2.28 Product Immediate Predecessors Task A B C a 35 b a 10 2221 a d e f d d bc e,g b 30 25 15 10 5 7 40 40 50 45 30 40 15 15 65 60 25 25 50 50 40 5 5 5 45 45 40 20 65 0 60 b i 1 k 1 f 45 40 k 5 a. Find a line balance for which no workstation has an average work requirement in excess of 100 units per product produced. b. Identify the bottleneck workstation. c. Find a repeating cycle or product order en- try onto the line that smooths the produc- tion rate of the bottleneck workstation without building unnecessary inventories or shortages for any product during the cycle