Suppose that a final assembly is produced by assembling two components $.$ The first component, component A$,$ is produced in$-$house and proceeds through three process steps, blanking, forging, and machining $,$ with scrap estimates of $10\%,15\%,$ and $25\%,$ re$-$ spectively. For every three units of component A produced, two are used in the final as$-$ sembly, and one is set aside to meet spare parts requirements $.$ The second component