Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 7PA

a)

Summary Introduction

To determine: The process capacity of dolls per hour with a batch size of 500 dolls.

a)

Expert Solution
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Explanation of Solution

Given information:

Operations Management, Chapter 7, Problem 7PA , additional homework tip  1

Capacity of Molding:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=50015+(500×0.25)×60 minutes=500140×60 minutes=3.571×60 minutes=214 units per hour

Capacity of painting:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=50030+(500×0.15)×60 minutes=500105×60 minutes=4.76×60 minutes=285 units per hour

Capacity of dressing:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=5000+(500×0.3)×60 minutes=500150×60 minutes=3.333×60 minutes=200 units per hour

The capacity of dressing is the lowest of all. Hence, it will be the capacity of the process.

The capacity of the process is 200 units per hour.

b)

Summary Introduction

To determine: The utilization of depositing for 800 dolls.

b)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Operations Management, Chapter 7, Problem 7PA , additional homework tip  2

Capacity of Molding:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=80015+(800×0.25)×60 minutes=800215×60 minutes=3.72×60 minutes=223 units per hour

Capacity of painting:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=80030+(800×0.15)×60 minutes=800150×60 minutes=5.33×60 minutes=320 units per hour

Capacity of dressing:

Capacity=Batch sizeSetup time+(Batch size×Time per unit)×60 minutes=8000+(800×0.3)×60 minutes=800240×60 minutes=3.333×60 minutes=200 units per hour

Calculation of utilization of molding:

The flow rate is the minimum demand and process capacity. The capacity of the process is 200 units per hour. The demand is 4,000 dolls in 40 work hours which gives 100 dolls per hour. Therefore, the number of dolls per minute will be:

Dolls per minute=10060=1.67 dolls per minute

The flow rate is 1.67 dolls per minute.

Calculation of utilization:

Utilization=Flow rate×Processing time=1.67×0.25=0.4175

The utilization of molding is 41.75%.

c)

Summary Introduction

To determine: The determine the batch size that would minimize the inventory without decreasing the flow rate.

c)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Operations Management, Chapter 7, Problem 7PA , additional homework tip  3

Calculation of batch size for molding:

Batch size=Capacity×Setup time1-(Capacity×Processing time)=3.333×151-(3.333×0.25)=49.9951-0.83325=49.9950.16675=300

Calculation of batch size for painting:

Batch size=Capacity×Setup time1-(Capacity×Processing time)=3.333×301-(3.333×0.15)=99.991-0.49995=99.990.50005=200

The batch size is 300 units.

d)

Summary Introduction

To determine: The determine the batch size that would minimize the inventory without decreasing the flow rate.

d)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Operations Management, Chapter 7, Problem 7PA , additional homework tip  4

Calculation of batch size for molding:

Batch size=Flow rate×Setup time1-(Flow rate×Processing time)=1.67×151-(1.67×0.25)=25.051-0.4175=25.050.5825=43

Calculation of batch size for painting:

Batch size=Flow rate×Setup time1-(Flow rate×Processing time)=1.67×301-(1.67×0.15)=50.11-0.2505=50.10.7495=67

The batch size is 67 units.

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