Kinga Doll Company manufactures eight versions of its popular girl doll, Shari. The company operates on a 40-hour workweek. The eight versions differ in doll skin, hair, and eye color, enabling most children to have a doll with a similar appearance to them. It currently sells an average of 3,750 dolls (spread equally among its eight versions) per week to boutique toy retailers. In simplified terms, doll making at Kinga involves three basic operations: molding the body and hair, painting the face, and dressing the doll. Changing over between versions requires setup time at the molding and painting stations due to the different colors of plastic pellets, hair, and eye color paint required. The following table lists the setup and processing times for a batch and the activity times for each unit at each step. Process Step Setup time (minute) Processing time (minute) Utilization Holding 16.00 0.26 a. What is the process capacity in dolls per hour with a batch size of 525 dolls? Note: Do not round intermediate calculations. Round your final answer to nearest whole number. Capacity 171 dolls per hour Painting 29.00 0.18 b. What is the utilization of molding in dolls per hour with a batch size of 800 dolls? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. 40.64 Batch size Dressing No setup 0.35 c. Which batch size would minimize inventory without decreasing the process capacity? Note: Do not round intermediate calculations. Round your final answer to nearest whole number. dolls per batch
Kinga Doll Company manufactures eight versions of its popular girl doll, Shari. The company operates on a 40-hour workweek. The eight versions differ in doll skin, hair, and eye color, enabling most children to have a doll with a similar appearance to them. It currently sells an average of 3,750 dolls (spread equally among its eight versions) per week to boutique toy retailers. In simplified terms, doll making at Kinga involves three basic operations: molding the body and hair, painting the face, and dressing the doll. Changing over between versions requires setup time at the molding and painting stations due to the different colors of plastic pellets, hair, and eye color paint required. The following table lists the setup and processing times for a batch and the activity times for each unit at each step. Process Step Setup time (minute) Processing time (minute) Utilization Holding 16.00 0.26 a. What is the process capacity in dolls per hour with a batch size of 525 dolls? Note: Do not round intermediate calculations. Round your final answer to nearest whole number. Capacity 171 dolls per hour Painting 29.00 0.18 b. What is the utilization of molding in dolls per hour with a batch size of 800 dolls? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. 40.64 Batch size Dressing No setup 0.35 c. Which batch size would minimize inventory without decreasing the process capacity? Note: Do not round intermediate calculations. Round your final answer to nearest whole number. dolls per batch
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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Question
Only typed explanation otherwise leave it
Answer only C part
Transcribed Image Text:Kinga Doll Company manufactures eight versions of its popular girl doll, Shari. The company operates on a 40-hour workweek. The
eight versions differ in doll skin, hair, and eye color, enabling most children to have a doll with a similar appearance to them. It currently
sells an average of 3,750 dolls (spread equally among its eight versions) per week to boutique toy retailers. In simplified terms, doll
making at Kinga involves three basic operations: molding the body and hair, painting the face, and dressing the doll. Changing over
between versions requires setup time at the molding and painting stations due to the different colors of plastic pellets, hair, and eye
color paint required. The following table lists the setup and processing times for a batch and the activity times for each unit at each
step.
Process Step
Setup time (minute)
Processing time (minute)
Capacity
a. What is the process capacity in dolls per hour with a batch size of 525 dolls?
Note: Do not round intermediate calculations. Round your final answer to nearest whole number.
171 dolls per hour
Utilization
40.64
Molding
16.00
0.26
b. What is the utilization of molding in dolls per hour with a batch size of 800 dolls?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Painting
29.00
0.18
42
Dressing
No setup
0.35
dolls per batch
c. Which batch size would minimize inventory without decreasing the process capacity?
Note: Do not round intermediate calculations. Round your final answer to nearest whole number.
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