I’m having problems creating the flow chart, so I am unable to insert the numbers. This is what I have done this far, and I’m not sure if I’m accurate with the calculations.

(1) A school cafeteria is operated by five persons performing the activities listed below in the average times shown. Activity Average Time Sec Serve salad and dessert 10 Pour drinks 30 Serve entrée 60 Serve vegetables 20 Tally and collect payment 40 A) What are the bottleneck activity and the maximum service capacity per hour? B) Suggest a reallocation of activities that would increase capacity and use only four employees, and draw a product flow diagram. What is the capacity of your improved system? C) Recommend a way to maintain the serving capacity found in part b using only 3 employees

(a) Assuming that there are just one cafeteria personnel, activities 1 & 4 that require 30 minutes will be done by the same cafeteria personnel, and hence the bottleneck activity will be cafeteria personnel. With the cafeteria personnel taking 30 minutes with each student, capacity will be just 2 students per hour.
Still further, the staffing is consisted of 5 cafeteria personnel, so the tasks are performed as given in the layout diagram.
1/15-----2/5-------3/2.5------4/7.5-----5/3.75 this is the best I can do with the chart
/10 ----- / 30--------60-------/20---------/40
The Bottleneck activity is Activity 2, Cafeteria personnel.
Working (30/10= 3*5=15, 30/30= 1*5=5, 30/60=*5=2.5, 30/20= 1.5*5=7.5, 30/40=0.75*5=3.75)

B) Suggest a reallocation of activities that would increase capacity and use only four employees, and draw a product flow diagram. What is the capacity of your improved system?
5/3.75-----1 &2& 4/2------3/2
/40-----------/60--------------60
1&2 &4/2-------------3/2
/60---------------------/60

Working (60/60=1*2=2)
Improved layout: New capacity is 4 students/hour
Still further, the bottleneck is shared by Activities 1,2 and 4 has a capacity of 60 students/hour.

(c) Recommend a way to maintain the serving capacity found in part b using only three employees.

3/2.5----------1& 4------2&5/4.66
/60----------------/30-----------/70

-----------1&4/2---------2&5/4.66
/30------------------/70

Working (30/30= 1*2=2)
Using the self-service for serving the layout is as above.
Capacity is 4 students/hour. While the maximum capacity has not changed, so it now required 2 cafeteria personnel.

(2) Every fall, volunteers administer flu vaccine shots at a local supermarket. The process involved the following four steps: Activity (1) Reception: Average Time, Sec 30, (2) Drug allergy consultation: Average time, sec 60, (3) Filled out form and sign waiver: Average Time, Sec 45, (4) Administer vaccination: Average Time, Sec 90
(a) What are the bottleneck activity and maximum number of people who can be processed per hour?
1------2/4-------3/5.33-----4/2.66
/30----/60--------/45----------/90
Activities 1 & 4 require 30 minutes will be done by the same volunteer; therefore the bottleneck will be completed by the volunteers. So, the volunteer takes 30 minutes to administer the flu vaccine, capacity will be just 2 customers per/hour.
Bottleneck activity is Activity 2
Working (60/30=0.5*4=2, 60/60=1*4=4, 60/45=1.33*4=5.33, 60/90=0.66*4=2.66)

(b) If a fifth volunteer is assigned to help administer vaccinations, what activity now becomes the bottleneck? How has this arrangement influenced the capacity of the system?

2 & 4/20-------1/120------3/80
/180-------------/30----------/45
2&4/20
/180

Working (60*60 *1/180 -20, 60*60*1/30=120, 60*60*1/45=80)
We can achieve a combined vaccinations requiring 180 seconds per administer flu shot.

(c) Using five volunteers, suggest a reallocation of activities that would result in increased service capacity, and draw a product flow diagram. What is the capacity of your improved system?

2 & 4/20-------1/120
/108----------------/30 3/80
2 & 4/20----------------------1/120 /45
/180--------------------------------/30
If there were more volunteers to administer the flu shot through training which will appeal the customers.

(1) A school cafeteria is operated by five persons performing the activities listed below in the average times shown. Activity Average Time Sec Serve salad and dessert 10 Pour drinks 30 Serve entrée 60 Serve vegetables 20 Tally and collect payment 40 A) What are the bottleneck activity and the maximum service capacity per hour? B) Suggest a reallocation of activities that would increase capacity and use only four employees, and draw a product flow diagram. What is the capacity of your improved system? C) Recommend a way to maintain the serving capacity found in part b using only 3 employees

(a) Assuming that there are just one cafeteria personnel, activities 1 & 4 that require 30 minutes will be done by the same cafeteria personnel, and hence the bottleneck activity will be cafeteria personnel. With the cafeteria personnel taking 30 minutes with each student, capacity will be just 2 students per hour.
Still further, the staffing is consisted of 5 cafeteria personnel, so the tasks are performed as given in the layout diagram.
1/15-----2/5-------3/2.5------4/7.5-----5/3.75 this is the best I can do with the chart
/10 ----- / 30--------60-------/20---------/40
The Bottleneck activity is Activity 2, Cafeteria personnel.
Working (30/10= 3*5=15, 30/30= 1*5=5, 30/60=*5=2.5, 30/20= 1.5*5=7.5, 30/40=0.75*5=3.75)

B) Suggest a reallocation of activities that would increase capacity and use only four employees, and draw a product flow diagram. What is the capacity of your improved system?
5/3.75-----1 &2& 4/2------3/2
/40-----------/60--------------60
1&2 &4/2-------------3/2
/60---------------------/60

Working (60/60=1*2=2)
Improved layout: New capacity is 4 students/hour
Still further, the bottleneck is shared by Activities 1,2 and 4 has a capacity of 60 students/hour.

(c) Recommend a way to maintain the serving capacity found in part b using only three employees.

3/2.5----------1& 4------2&5/4.66
/60----------------/30-----------/70

-----------1&4/2---------2&5/4.66
/30------------------/70

Working (30/30= 1*2=2)
Using the self-service for serving the layout is as above.
Capacity is 4 students/hour. While the maximum capacity has not changed, so it now required 2 cafeteria personnel.

(2) Every fall, volunteers administer flu vaccine shots at a local supermarket. The process involved the following four steps: Activity (1) Reception: Average Time, Sec 30, (2) Drug allergy consultation: Average time, sec 60, (3) Filled out form and sign waiver: Average Time, Sec 45, (4) Administer vaccination: Average Time, Sec 90
(a) What are the bottleneck activity and maximum number of people who can be processed per hour?
1------2/4-------3/5.33-----4/2.66
/30----/60--------/45----------/90
Activities 1 & 4 require 30 minutes will be done by the same volunteer; therefore the bottleneck will be completed by the volunteers. So, the volunteer takes 30 minutes to administer the flu vaccine, capacity will be just 2 customers per/hour.
Bottleneck activity is Activity 2
Working (60/30=0.5*4=2, 60/60=1*4=4, 60/45=1.33*4=5.33, 60/90=0.66*4=2.66)

(b) If a fifth volunteer is assigned to help administer vaccinations, what activity now becomes the bottleneck? How has this arrangement influenced the capacity of the system?

2 & 4/20-------1/120------3/80
/180-------------/30----------/45
2&4/20
/180

Working (60*60 *1/180 -20, 60*60*1/30=120, 60*60*1/45=80)
We can achieve a combined vaccinations requiring 180 seconds per administer flu shot.

(c) Using five volunteers, suggest a reallocation of activities that would result in increased service capacity, and draw a product flow diagram. What is the capacity of your improved system?

2 & 4/20-------1/120
/108----------------/30 3/80
2 & 4/20----------------------1/120 /45
/180--------------------------------/30
If there were more volunteers to administer the flu shot through training which will appeal the customers.

Based on the information provided, here is a step-by-step breakdown of the answers to the questions:

1a) The bottleneck activity is Activity 2, Cafeteria personnel, and the maximum service capacity per hour is 2 students.

1b) To increase capacity and use only four employees, a reallocation of activities could be done as follows:
- Activity 1 (Serve salad and dessert) and Activity 4 (Serve vegetables) can be done by one cafeteria personnel, taking a total of 2 minutes.
- Activity 2 (Pour drinks) can be done by one cafeteria personnel, taking 2 minutes.
- Activity 3 (Serve entrée) remains unchanged with one cafeteria personnel, taking 60 minutes.

The product flow diagram would look like this:

1/15 ----- 2 & 4 /2 ----- 3 /60

The capacity of the improved system would be 4 students per hour.

1c) To maintain the serving capacity found in part b using only three employees, a reallocation of activities could be done as follows:
- Activity 1 (Serve salad and dessert) and Activity 4 (Serve vegetables) can be done by one cafeteria personnel, taking a total of 2.5 minutes.
- Activity 2 (Pour drinks) and Activity 5 (Tally and collect payment) can be done by one cafeteria personnel, taking a total of 4.66 minutes.
- Activity 3 (Serve entrée) remains unchanged with one cafeteria personnel, taking 60 minutes.

The product flow diagram would look like this:

1 & 4 /2.5 --------- 2 & 5 /4.66 ----------- 3 /60

The capacity would still be 4 students per hour, but now with only 2 cafeteria personnel.

2a) The bottleneck activity is Activity 2, Drug allergy consultation, and the maximum number of people who can be processed per hour is 4.

2b) If a fifth volunteer is assigned to help administer vaccinations, the new bottleneck activity would be Activity 4, Administer vaccination. This arrangement has increased the capacity of the system.

2c) Using five volunteers, a reallocation of activities could be done as follows:
- Activity 2 (Drug allergy consultation) and Activity 4 (Administer vaccination) can be done by one volunteer, taking a total of 20 seconds.
- Activity 1 (Reception) remains unchanged with one volunteer, taking 120 seconds.
- Activity 3 (Filled out form and sign waiver) remains unchanged with one volunteer, taking 45 seconds.

The product flow diagram would look like this:

2 & 4 /20 ------ 1 /120 ------ 3 /45

The capacity of the improved system would be achieved by combining the vaccinations requiring 180 seconds per administer flu shot.

To create a flow chart for this problem, you can follow these steps:

1. Start by identifying the activities and their average times. In the first problem, the activities are serving salad and dessert, pouring drinks, serving entrée, serving vegetables, and tallying and collecting payment.

2. Decide on the order in which the activities are performed. In the first problem, the activities are performed in the order of serving salad and dessert, pouring drinks, serving entrée, serving vegetables, and tallying and collecting payment.

3. Create boxes for each activity and arrange them in the order determined in step 2.

4. Connect the boxes with arrows to show the flow of the activities.

5. Assign average times to each activity by writing them inside the corresponding boxes.

To insert numbers into the flow chart, you can use the following formula:
(Number of minutes per hour) / (Average time in minutes for an activity) = Capacity of that activity per hour.

For example, if you have 60 minutes in an hour and the average time for serving salad and dessert is 10 minutes, the capacity for that activity per hour would be:
60 minutes / 10 minutes = 6 servings of salad and dessert per hour.

You can repeat this formula for each activity to find the capacity per hour for each one.

Based on the flow chart, you can identify the bottleneck activity as the activity with the lowest capacity per hour. In the first problem, the bottleneck activity is the cafeteria personnel (Activity 2).

To increase capacity and use only four employees, you can reallocate activities by combining certain tasks. In this case, you can combine activities 1, 2, and 4 and activities 3 and 5. By doing this, you reduce the number of employees needed and increase efficiency. Draw a new flow chart to reflect these changes.

To find the capacity of your improved system, you can use the same formula mentioned earlier to calculate the capacity per hour for each activity in the new flow chart.

To maintain the serving capacity found in the improved system using only three employees, you can reallocate activities by combining activity 1 and activities 4 and 5. Draw a new flow chart to reflect these changes.

Again, use the formula mentioned earlier to calculate the capacity per hour for each activity in the new flow chart.

I hope this explanation helps you in creating your flow chart and finding the answers to your questions.