A shoe assembly plant buys leather tops and soles from its suppliers. The leather tops have no color on them when bought. The assembly plant first dies the leather with colors like black, beige, brown and cream. Then it sews the colored leather tops to the soles. Finally leather tops are polished with an agent that depends on the color of the shoe. Basically there are three operations in the shoe plant: Coloring, Sewing and Polishing. The activity times and set up times for these operations are given in minutes as follows: Operation       Coloring Sewing Polishing Activity time        0.25     0.20      0.15 Set up time           30       20        45 Soles and the leather top-sole assemblies are processed in batches in all operations. The batch sizes are kept the same at all operations. Before a batch goes through an operation, the shoe plant must set up the machines for that operation. a) How many leather tops can be colored in an hour with a batch size of 40? b) Explain why sewing cannot be the bottleneck operation under any batch size. c) For which batch sizes is coloring the bottleneck operation? Here your answer can be an interval of batch sizes rather than a single number because there are many batch sizes which make coloring the bottleneck

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

A shoe assembly plant buys leather tops and soles from its suppliers. The leather
tops have no color on them when bought. The assembly plant first dies the leather with colors like
black, beige, brown and cream. Then it sews the colored leather tops to the soles. Finally leather tops
are polished with an agent that depends on the color of the shoe. Basically there are three operations
in the shoe plant: Coloring, Sewing and Polishing. The activity times and set up times for these
operations are given in minutes as follows:
Operation       Coloring Sewing Polishing
Activity time        0.25     0.20      0.15
Set up time           30       20        45

Soles and the leather top-sole assemblies are processed in batches in all operations. The batch sizes
are kept the same at all operations. Before a batch goes through an operation, the shoe plant must
set up the machines for that operation.
a) How many leather tops can be colored in an hour with a batch size of 40?
b) Explain why sewing cannot be the bottleneck operation under any batch size.
c) For which batch sizes is coloring the bottleneck operation? Here your answer can be an interval of
batch sizes rather than a single number because there are many batch sizes which make coloring the
bottleneck

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.