A furniture factory makes two types of wooden tables,large and small. See the flowchart below.SetupTime,MinutesRun Timeper Piece,MinutesCapacity,Piecesper HourWood cutting 30 5 15Make four legs 60 10 10Make tops 60 12 8Finish the wood 20 8 12Assemble and ship 20 17 14 Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart.a. What is the capacity of the system, and what is the bottleneck?b. What are the throughput times for batches of large and small tables?c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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A furniture factory makes two types of wooden tables,
large and small. See the flowchart below.
Setup
Time,
Minutes
Run Time
per Piece,
Minutes
Capacity,
Pieces
per Hour
Wood cutting 30 5 15
Make four legs 60 10 10
Make tops 60 12 8
Finish the wood 20 8 12
Assemble and ship 20 17 14 Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart.
a. What is the capacity of the system, and what is the bottleneck?
b. What are the throughput times for batches of large and small tables?
c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?

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