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

Activity	Activity Description	Performance Time (mins)
A	Medical History	10
B	Blood Tests	8
C	Eye Examination	5
D	Measurements (i.e., weight, height, blood pressure)	7
E	Medical Examination	16
F	Psychological interview	12
G	Exit medical evaluation	12

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. 1

Fig. 2

Fig. 3

below (where Par. 1, Par. 2, and Par. 3 represent the three paramedics and Doc. 1 and Doc. 2 represent the two doctors).

C

F

G

A

B

D

Fig. 1

E

Par. 1

Par. 2

Par. 3

Doc. 1

Doc. 2

There are 7 circles labeled using the letters from A to G. There are arrows, connecting one circle to another in the following manner: A to B, B to C, C to D, D to E, E to F, and F to G. There are five distinct partitions that contain one or more circles. Partition Par. 1 contains circles A and B. Partition Par. 2 contains circles C and D. Partition Par. 3 contains circle E. Partition Doc. 1 contains circle F. Partition Doc. 2 contains circle G. The diagram is labeled Fig. 1.

B

F

G

A

C

D

Fig. 2

E

Par. 1

Par. 2

Par. 3

Doc. 1

Doc. 2

There are 7 circles labeled using the letters from A to G. There are arrows, connecting one circle to another in the following manner: A to C, C to B, B to D, D to E, E to F, and F to G. There are five distinct partitions that contain one or more circles. Partition Par. 1 contains circles A and C. Partition Par. 2 contains circles B and D. Partition Par. 3 contains circle E. Partition Doc. 1 contains circle F. Partition Doc. 2 contains circle G. The diagram is labeled Fig. 2.

B

F

G

A

C

D

Fig. 3

E

Par. 1

Par. 2

Par. 3

Doc. 1

Doc. 2

There are 7 circles labeled using the letters from A to G. There are arrows, connecting one circle to another in the following manner: A to C, C to B, B to D, D to E, E to F, and F to G. There are five distinct partitions that contain one or more circles. Partition Par. 1 contains circles A and D. Partition Par. 2 contains circles C and B. Partition Par. 3 contains circle E. Partition Doc. 1 contains circle F. Partition Doc. 2 contains circle G. The diagram is labeled Fig. 3.

There are

5

workstations. Three are managed by the paramedics and the other two are managed by doctors. Given the five workstations, the bottleneck time =

nothing

minutes (enter your response as a whole number).

Answer the following questions based on the diagram you chose from part (a).

b) The number of people that can be processed using the assembly line in an hour =

nothing

people (round your response to two decimal places).

c) The activity that is the current bottleneck is

E

C

A

F

G

D

B

.

d) The throughput time for a patient is

nothing

minutes

e) For the assembly line, the idle time per cycle =

nothing

minutes (enter your response as a whole number).

f) If an extra paramedic was available, the paramedic should be assigned to activity

C

F

G

B

D

A

E

to reduce the cycle time.