We have a process; the process is represented by the process flow map shown below. The process is used to make two products, product A and product B; $35\%$ of the product we sell is product A$,$ and $65\%$ is product B$.$

We start manufacturing Product A with steps $1$A and $2$A; Product B is manufactured with steps $1$B and $2$B$.$ Both of these products continue to be worked on through steps $3$ and $4.$ We check the product to make sure that all of our product meets quality standards; $15\%$ of our product does not meet this standard, and must be repaired in the Repair step. All product goes through step $5$; the product is then tailored for either the European or North American market before shipping to the customer. Product tailored for the North American market, which comprises $60\%$ of our sales, goes through Step $6$NA; product tailored for the European market, which comprises $40\%$ of our sales, goes to Step $6$E$.$ All of this is represented in our process flow map, shown below:

Each workstation can work on one item at a time. The number of workstations for each step of the process, as well as the flow time for each step, is given here:

Step # of workstations Flow time $($min$)$

$1$A $110$

$1$B $310$

$2$A $319$

$2$B $512$

$319$

$4320$

Repair $48$

$5413$

$6$E $111$

$6$NA $525$

Assuming we are not limited by outside sources, such as raw materials supply, demand, or the possibility of breakdown or scheduled downtime, what is the actual throughput rate of the process, in items$/$min$?$ Please use at least three significant figures in your calculations. $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$