OPERATIONS MANAGEMENT
OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
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Chapter 4, Problem 7PA

a)

Summary Introduction

To determine: The labor content.

a)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  1

Labor content:

The labor content is total time required to perform all the tasks of by the workers. It is 215 seconds.

The labor content is 215 seconds.

b)

Summary Introduction

To determine: The cost of direct labor for a toothbrush.

b)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  2

Calculation of time per worker:

The time for Worker A is 65 seconds.

The time for Worker B is 35 seconds.

The time for Worker C is 25 seconds.

The time for Worker D is 30 seconds.

The time for Worker E is 60 seconds.

The bottleneck is Worker A with 65 seconds. Therefore, the flow rate will be:

Flow rate=60 minutes×60 secondsBottleneck time=60×6065=55.38=55.4 brushes per hour

Cost of direct labor:

Cost of direct labor=Wage rate×Number of workersFlow rate=$15×555.4=7555.4=$1.35

The cost of direct labor per toothbrush is $1.35.

c)

Summary Introduction

To determine: The utilization of worker A.

c)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  3

Utilization of Worker A:

The time for Worker A is 65 seconds. It is the bottleneck time of the entire process. Therefore, the utilization is 100%.

The utilization of 100%.

d)

Summary Introduction

To determine: The average labor utilization of the process.

d)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  4

Average labor utilization of the process:

The cycle time will be equal to the bottleneck time which is 65 seconds. The average labor utilization will be:

Average labor utilization=Total timeNumber of workers×Cycle time×100=2155×65×100=215325×100=66.15%

The average labor utilization of 66.15%.

e)

Summary Introduction

To determine: The Takt time.

e)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  5

Demand rate = 40 toothbrushes per hour

Takt time:

Takt time=Minutes per hour×Seconds per minuteDemand rate per hour=60×6040=90 seconds

The Takt time is 90 second per toothbrush.

f)

Summary Introduction

To determine: The target manpower.

f)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  6

Takt time = 50 seconds

Target manpower

Target manpower=Total timeTakt time=21550=4.3

The target manpower is 4.3 workers.

g)

Summary Introduction

To determine: The capacity of the process after hiring the new worker.

g)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  7

New capacity of the process:

The new worker is added to Task 1 and Task 2 as it is the bottleneck of the process. After the addition of the new worker, the bottleneck is Worker E with a total time of 60 seconds. Therefore, the new capacity will be:

Capacity=60 minutes×60 secondsBottleneck time=60×6060=60 toothbrushes per hour

The capacity of process is 60 toothbrushes per hour.

h)

Summary Introduction

To determine: The capacity of the process.

h)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  8

New capacity of the process:

The tasks are assigned to minimize the maximum work across the various workers. Task 1 is assigned to Worker A. Tasks 2, 3 is assigned to Worker B. Tasks 4, 5, 6, and 7 is assigned to Worker C. Tasks 8, 9 is assigned to Worker D. Task 10 is assigned to Worker E. The bottleneck time now is Worker 3 with 50 seconds. Therefore, the capacity is:

Capacity=60 minutes×60 secondsBottleneck time=60×6050=72 toothbrushes per hour

The capacity of process is 60 toothbrushes per hour.

i)

Summary Introduction

To determine: The capacity of the process with the new method

i)

Expert Solution
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Explanation of Solution

Given information:

OPERATIONS MANAGEMENT, Chapter 4, Problem 7PA , additional homework tip  9

New capacity of the process:

Capacity=Number of workers×60 minutes×60 secondsTotal process time=5×60×60215=83.7 toothbrushes per hour

The capacity of process is 83.7 toothbrushes per hour.

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