Mattel currently has a$$ three$-$station work cell to produce toy$$ cars, illustrated in the figure below. There are two machines at station $1$ in parallel.$($The product needs to go through only one of the two machines before proceeding to station$2.)$

Station $1$

Machine A

Station $1$

Machine B

Station $2$

Station $3$

$20$ min$/$unit

$20$ min$/$unit

$2$ min$/$unit

$12$ min$/$unit

A three$-$station work cell has a product that must go through one of the two machines at station $1($they are parallel$)$ before proceeding to station $2$ and then on to station $3.$ Both Machine A and Machine B at Station $1$ take $20$ minutes per unit. Station $2$ takes $2$ minutes per unit. Station $3$ takes $12$ minutes per unit.

The manager thinks there may be a big improvement if a parallel machine is added at station $33.$ Evaluate the following performance metrics of the new work$$ cell:

$$a$)$ The throughput time of the new work cell with the second machine at workstation $33$ is enter your response here minutes $($enter your response as a whole$$ number$).$