A four station line with multi machine stations where the number of parallel machines at stations $1,2,3$ and $4$ respectively are $6,5,3,$ and $2.$ The average processing times at stations $1,2,3,$ and $4$ are $6,30,10,$ and $4$ minutes. Draw the production line, compute the capacity in parts per hour of each station, find the bottleneck, and give the line throughput $($assume WIP $>$ critical WIP$)$