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 $26$ minutes $($enter your response as a whole number$).$

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