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 $3.$

a$)$ The throughput time of the new work cell is $36$ minutes $($enter your response as a whole number$).$

b$)$ The bottleneck time of the new work cell is ${10}^{TT}$ 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 $3$ is units $($enter your response as a whole number$)$