EBK PRINCIPLES OF OPERATIONS MANAGEMENT
EBK PRINCIPLES OF OPERATIONS MANAGEMENT
11th Edition
ISBN: 9780135175644
Author: Munson
Publisher: VST
bartleby

Concept explainers

Question
Book Icon
Chapter 8, Problem 20P

a)

Summary Introduction

To determine: The map coordinates for location of the hub.

Introduction: Location is one of the important element for a business that controls the cost and expenses. Location strategies support in framing other strategies for a firm where optimal location point will provide competitive advantage to a firm.

a)

Expert Solution
Check Mark

Answer to Problem 20P

The map coordinates for the location of hub is (5.15, 7.30).

Explanation of Solution

Given information:

City Map Coordinates (X,Y) Shipping load
A (5, 10) 5
B (6, 8) 10
C (4, 9) 15
D (9, 5) 5
E (7, 9) 15
F (3, 2) 10
G (2, 6) 5

Calculation of map coordinates for location of the hub:

Given the map coordinates and shipping loads for each city location as shown below, use the Centre of Gravity method as shown in the sequential steps described below.

Show the city locations in a graph as shown below.

EBK PRINCIPLES OF OPERATIONS MANAGEMENT, Chapter 8, Problem 20P , additional homework tip  1

The x coordinate of the centre of gravity Cx is given by the formula

Cx=idix×QiiQi (1)

where dix is the x coordinate of the location i and Qi is the shipping load to and from the location i

The y coordinate of the centre of gravity Cy is given by the formula

Cy=idiy×QiiQi (2)

where diy is the y coordinate of the location i and Qi is the shipping load to and from the location i

Use equation (1) and calculate Cx as follows

Cx=5×5+6×10+4×15+9×5+7×15+3×10+2×55+10+15+5+15+10+5=33565=5.15

Use equation (2) and calculate Cy as follows,

Cy=10×5+8×10+9×15+5×5+9×15+2×10+6×55+10+15+5+15+10+5=47565=7.30

The coordinates of the Centre of Gravity are given as (5.15,7.30).

The proposed hub highlighted in red color in figure shown below should be close to the coordinates (5.15, 7.30) to minimize the transportation costs.

EBK PRINCIPLES OF OPERATIONS MANAGEMENT, Chapter 8, Problem 20P , additional homework tip  2

Hence, the map coordinates for the location of hub is (5.15, 7.30).

b)

Summary Introduction

To determine: The change in the map coordinates for location of the hub when shipment A is tripled.

Introduction: Location is one of the important element for a business that controls the cost and expenses. Location strategies support in framing other strategies for a firm where optimal location point will provide competitive advantage to a firm.

b)

Expert Solution
Check Mark

Answer to Problem 20P

The hub location should be as close to the coordinates (5.13, 7.67) as possible to minimize transport costs.

Explanation of Solution

Given information:

Shipment A is tripled.

City Map Coordinates (X,Y) Shipping load
A (5, 10) 15
B (6, 8) 10
C (4, 9) 15
D (9, 5) 5
E (7, 9) 15
F (3, 2) 10
G (2, 6) 5

Calculation of change in the map coordinates for location of the hub when shipment A is tripled:

If the shipments from City A triple, calculate the center of gravity as per calculations shown later.

Use equation (1) and calculate Cx as follows,

Cx=15×5+6×10+4×15+9×5+7×15+3×10+2×515+10+15+5+15+10+5=38575=5.13

Use equation (2) and calculate Cy as follows,

Cy=10×15+8×10+9×15+5×5+9×15+2×10+6×55+10+15+5+15+10+5=57575=7.67

Hence, the hub location should be as close to the coordinates (5.13, 7.67) as possible to minimize transport costs.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Can you guys help me with this? Thank you! Here's the question: Compared to the CONSTRAINT model, how has the network changed? How do you plan to add contingency to your network? Please answer this throughly Here's the what-if scenario: Assume that Dallas plant has lost power. It cannot serve the DCs anymore and has to remain locked indefinitely. Re-optimize the network considering this new constraint. Here's the scenario comparison analysis:  Scenario Constraint Scenario vs What-if Scenario Summary In comparing the Constraint Scenario to the What-if Scenario, a few key differences highlight the efficiencies evident in the supply chain. Firstly, the total cost in the Constraint Scenario is lower at $7,424,575.45, while the What-if Scenario incurs a total cost of $7,486,369.12, resulting in a cost delta of $61,793.67. Additionally, although both scenarios exhibit the same average service time of 0.72 days, the What-if Scenario has a more favorable average end-to-end service time of 2.41…
Employee In-Service Training ASSIGNMENT: In-Service Training. The intern is required to plan and implement two in-service training sessions for employees. Each in-service should last at least 10 but not more than 30 minutes and should be given to all employees affected. The preceptor or supervisor/unit manager must approve all in-service topics. 1) One presentation should be related to a policy or procedure of any kind (e.g. proper use of equipment); 2) The second presentation must be related to sanitation or safety. For each in-service presentation, the intern must develop a written class plan and a visual aid (may be a handout, poster, PowerPoint slide presentation, etc.) appropriate to the life experiences, cultural diversity and educational background of the target audience. The intern must also measure behavior change. Note, this cannot be measured by a written pre- and post- test. That would be measuring knowledge. The intern mustactually observe and document that the learners…
For a dietary manager in a nursing home to train a dietary aide
Knowledge Booster
Background pattern image
Operations 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
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Text book image
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
Text book image
Management, Loose-Leaf Version
Management
ISBN:9781305969308
Author:Richard L. Daft
Publisher:South-Western College Pub
Text book image
MARKETING 2018
Marketing
ISBN:9780357033753
Author:Pride
Publisher:CENGAGE L