A certain industrial process can be depicted by the diagram below. Operation 1 is a disassembly process in which each unit of raw material is separated into one unit each of parts A and B. These parts are then processed separately in operations 2 and 3, respectively, which have scrap rates of q2 = 0.05 and q3 = 0.10. Inspection stations 4 and 5 sort good units from bad for the two parts. Then the parts are assembled back together in operation 6, which has a fraction defect rate q6 = 0.15. Final inspection station 7 sorts good units from bad. The desired final output quantity is 100,000 units.
(a) What is the required starting quantity (into operation 1) to achieve this output?
(b) Will there be any leftover units of parts A or B, and if so, how many?