The Pullman Mfg$.,$ Inc. three$-$station work cell illustrated in the figure below has two machines at station $1$ in parallel. $($The product needs to go through only one of the two machines before proceeding to station $2.)$

The manager, Seimone Hartley, has asked you to evaluate the system if she adds a parallel machine at station $2.$

a$)$ The throughput time of the new work cell is $38$ minutes $($enter your response as a whole number$).$

b$)$ The bottleneck time of the new work cell is $10$ minutes per unit $($enter your response as a whole number$).$

c$)$ If the firm operates $10$ hours per day, $6$ days per week, the weekly capacity of the work cell with the second machine at workstation $2$ is $360$ units $($enter your response as a whole number$).$

d$)$ If the firm operates $10$ hours per day, $6$ days per week, the weekly capacity of the work cell without the second machine at workstation $2$ is units $($enter your response as a whole number$).$

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