Rockness Recycling refurbishes rundown business students. The process uses a moving belt, which carries each student through the five steps of the process in sequence. The five steps are as follows:

STEP DESCRIPTION TIME REQUIRED

PER STUDENT

$1$ Unpack and place on belt $1\mathrm{.}0$ minutes

$2$ Strip off bad habits $1\mathrm{.}2$ minutes

$3$ Scrub and clean mind $0\mathrm{.}4$ minute

$4$ Insert modern methods $0\mathrm{.}6$ minute

$5$ Polish and pack $0\mathrm{.}8$ minute

One faculty member is assigned to each of these steps. Faculty members work a $40-$hour week and rotate jobs each week. Mr$.$ Rockness has been working on a contract from General Eclectic, which requires delivery of $2,300$ refurbished students per week. A representative of the human resources department has just called complaining that the company hasn$$t been receiving the agreed$-$upon number of students. A check of finished goods inventory by Mr$.$ Rockness reveals that there is no stock left.

a$.$ Calculate the maximum output for each step.