There are four tasks performed in stations: mixing,, shaping, baking and packaging. Each cookie goes thru 1 of the 2 of shaping machines and 1 of the 3 baking ovens. Station 1 Mix 6.5 min/batch Station 2 shape 18 min/batch shape 10 min/batch Station 3 bake 17 min/batch bake 14 min/batch bake 35 min/batch Station 4 pack 9.8 min/batch  1. What is the Throughput time? 2. What is the Bottleneck time? 3. If factory operates 16 hours/day, 6 days/week, what is weekly capacity? 4. If upgrading some equipment to replace one of the existing operations. Which operation should be considered first?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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There are four tasks performed in stations: mixing,, shaping, baking and packaging. Each cookie goes thru 1 of the 2 of shaping machines and 1 of the 3 baking ovens.

Station 1 Mix 6.5 min/batch

Station 2 shape 18 min/batch shape 10 min/batch

Station 3 bake 17 min/batch bake 14 min/batch bake 35 min/batch

Station 4 pack 9.8 min/batch 

1. What is the Throughput time?

2. What is the Bottleneck time?

3. If factory operates 16 hours/day, 6 days/week, what is weekly capacity?

4. If upgrading some equipment to replace one of the existing operations. Which operation should be considered first?

Station 1
Mix
6.5 mins/batch
Station 2
Shape
18 mins/batch
Shape
10 mins/batch
Station 3
Bake
17 mins/batch
Bake
14 mins/batch
Bake
35 mins/batch
Station 4
Pack
9.8 mins/batch
Transcribed Image Text:Station 1 Mix 6.5 mins/batch Station 2 Shape 18 mins/batch Shape 10 mins/batch Station 3 Bake 17 mins/batch Bake 14 mins/batch Bake 35 mins/batch Station 4 Pack 9.8 mins/batch
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I am confused where your numbers are coming from.  If look at the diagragm I attached.  

The numbers used to calculate the thoroughput (15, 20 ,12) are not any numbers found in the diagragm

The miximg time is 6.5 min/batch not 15 min/dose as you indicated.

Bake times are 17, 14 and 35 min/batch not 10 min/batch as you indicated

Packing is 9.8 min/batch not 12 min/batch as you indicated.

When figuring out weekly capacity you multiple by 7 but problem indicates 6 days/week

It appears you are not solving this problem because you working with different numbers.   

 

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