$1.$ A single$-$station assembly cell uses an industrial robot to perform a series of assemblyoperations. The base part and parts $2$ and $3$ are delivered by vibratory bowl feeders that useselectors to ensure 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, selectorproportion u$,$ element times, fraction defect rate q$,$ and probability of jam m$,$ and, for thelast element, the frequency of downtime incidents p$).$ In addition to the times given in thetable, the time required to unload the completed subassembly is $4$ sec$.$When a line stop occurs, it takes an average of $1\mathrm{.}8$ min to make repairs and restart the cell.Determinea. yield of good product,b$.$ average hourly production rate of good product, andc. uptime efficiency for the cell.State any assumptions you must make about the operation of the cell in order to solve theproblem.