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Imagine US is a startup that offers high-definition 3-D prenatal ultrasounds for high-end customers. The service...

Imagine US is a startup that offers high-definition 3-D prenatal ultrasounds for high-end customers. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses):

Activity 1: Welcome a patient and explain the procedure. (7 minutes)

Activity 2: Prep the patient (e.g., show them to the room, apply ultrasound gel). (3 minutes)

Activity 3: Take images. (14 minutes)

Activity 4: Analyze images. (9 minutes)

Activity 5: Discuss diagnostic with patient. (23 minutes)


They have three workers. Suppose they are to assign activities to workers such a. that each activity is assigned to only one worker and each worker must be assigned consecutive tasks. What would be the maximum capacity of this process (patients per hour)?

Suppose tasks are assigned to three workers and now workers are able to do

b. multiple tasks and their assigned tasks do not need to be consecutive. What would be the maximum capacity of this process (patients per hour)?

Imagine US is a startup that offers high-definition 3-D prenatal ultrasounds for high-end customers. The service process incl


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Answer #2

Question a)

Conditions are

1. Each activity should be assigned to only one worker

2. Each worker must assign consecutive tasks

then work assigned to each worker as below

WORKERASSIGNEDTIME
W1A17
W1A23
W2A314
W3A49
W3A523

TOTAL56

Activity 1 and 2 capacity = 10 minutes

Activity 3 and 4 capacity = 23 minutes

Activity 5 = 23 minutes 

Maximum capacity = 60/23 = 2.61 patients per hour

Question b

Conditions-

1. Workers can do multiple task

2. Assigned task do not needto be consecutive. That is it can be consecutive also.

If so each worker can attend each patient at a time. then


W1W2W3



StartStopStartStopStartStop
A1070707
A2710710710
A3102410241024
A4243324332433
A5335633563356

If one worker is there then he could complete the job in 56 minutes.

Capacity = 60/56 = 1.07patients per hour

Now there three workers

capacity = 1.07 x 3 = 3.21 patients per hour


answered by: Jared D.
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Answer #1

As per above given instruction the the job sequence should be as below

(AL) A2 - A3 A+ 2A5 27 a 14 3 구

Question a)

Conditions are

1. Each activity should be assigned to only one worker

2. Each worker must assign consecutive tasks

then work assigned to each worker as below

WORKER ASSIGNED TIME
W1 A1 7
W1 A2 3
W2 A3 14
W3 A4 9
W3 A5 23
TOTAL 56

Total time for attending one patient = 56 min

Maximum capacity = 60/56 = 1.07 patients per hour

Question b

Conditions-

1. Workers can do multiple task

2. Assigned task do not needto be consecutive. That is it can be consecutive also.

If so each worker can attend each patient at a time. then

W1 W2 W3
Start Stop Start Stop Start Stop
A1 0 7 0 7 0 7
A2 7 10 7 10 7 10
A3 10 24 10 24 10 24
A4 24 33 24 33 24 33
A5 33 56 33 56 33 56

If one worker is there then he could complete the job in 56 minutes.

Capacity = 60/56 = 1.07patients per hour

Now there three workers

capacity = 1.07 x 3 = 3.21 patients per hour

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