Consider the following simple two$-$step process: flow units go through Steps A and B in sequence. Step A has a processing time of $1$ minute per unit, but no setup is required. Step B has a processing time of $0\mathrm{.}1$ minutes per unit, but a setup time of $10\mathrm{.}33$ minutes is required per batch. A buffer with ample inventory is allowed between the two steps.

$1.$ Suppose units are produced in batches of $9($i$.$e$.,$ after each batch is produced, step B must incur a setup time$).$ What is the capacity of the process $($in units per minute$)?$