3.25. A processing line is being designed. There will be five stages with deterministic processing times of (5.0, 4.0, 3.5, 6.0, 4.5). Stages are expected to be 100 percent available, that is, no breakdowns. No precedence relations exist to constrain the or- der in which stages are sequenced. a. Show that the production rate is unaffected by the ordering of process stages. b. Show that the time spent on the line by a part is minimized by placing the slowest station first. c. Is there any advantage to adding buffers? Why or why not