The preinduction physical examination given by the U.S. Army involves the following seven activities:

These activities can be performed in any order, with two exceptions: Medical history (A) must be taken first, and exit medical evaluation (G) is last. At present, there are three paramedics and two physicians on duty during each shift. Only physicians can perform exit evaluations (G) and conduct psychological interviews (F). Other activities can be carried out by either physicians or paramedics.

a) The correct precedence relationship with the assignment of tasks to workstations that minimizes the cycle time is shown in Fig. 2 below (where Par. 1, Par. 2, and Par. 3 represent the three paramedics and Doc. 1 and Doc. 2 represent the two doctors).

There are 5 workstations. Three are managed by the paramedics and the other two are managed by doctors. Given the five workstations, the least possible cycle time = 16 minutes (enter your response as a whole number).

b) The number of people that can be processed using the assembly line in an hour = enter your response here people (round your response to two decimal places).

\begin{tabular}{clc} \hline Activity & Activity Description & Performance Time (mins) \\ \hline A & Medical History & 11 \\ B & Blood Tests & 8 \\ C & Eye Examination & 4 \\ D & Measurements (i.e., weight, height, blood pressure) & 7 \\ E & Medical Examination & 16 \\ F & Psychological interview & 14 \\ G & Exit medical evaluation & 11 \\ \hline \end{tabular} Fig. 1 Fig. 2 Q Fig. 3