A robotic assembly cell uses an industrial robot to perform a series of assembly operations. The base part and parts 2 and 3 are delivered by vibratory bowl feeders that use selectors to insure that only properly oriented parts are delivered to the robot for assembly. The robot cell performs the elements in the table below (also given are feeder rates, selector proportion (, element times, fraction defect rate q, and probability of jam m, and, for the last element, the frequency of downtime incidents p). In addition to the times given in the table, the time required to unload the completed subassembly takes 4 sec. When a line stop occurs, it takes an average of 1.8 min to make repairs and restart the cell. Determine
(a) Yield of good product,
(b) Average production rate of good product, and
(c) Uptime efficiency for the cell? State any assumptions you must make about the operation of the cell in order to solve the problem.

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Element Feed ratef Selector Element Time T 15 pc/min 12 pc/min 25 pc/min 0.30 0.25 0.10 Loadbase part Add part2 Add part 3 Fasten 4 sec sec 4 sec sec 0.01 0.6 0.02 0.3 0.03 0.8 0.02