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

a$)$ The throughput time is $$ minutes $($enter your response as a whole number$).$

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

c$)$ is the bottleneck station.

d$)$ If the firm operates $9$ hours per day, $6$ days per week, the weekly capacity of this work cell is $$ units $($enter your response as a whole number$).$