9.1-1. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 1 2 3 1 Plant 2 3 800 miles 1,100 miles 600 miles 1,300 miles 400 miles 700 miles 1,400 miles 600 miles 1,200 miles 800 miles 1,000 miles 900 miles The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. c (c)Obtain an optimal solution.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
Kindly give me a detailed response. Please do the iterations manually. I do not need it solved with Solver or any other tool. Thank you very much.
9.1-1. The Childfair Company has three plants producing child push chairs that are to be
shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments
per month, respectively. Each distribution center needs to receive 10 shipments per
month. The distance from each plant to the respective distributing centers is given below:
Distance
Distribution Center
1
2
3
4
1
800 miles
Plant 2 1,100 miles
3
1,300 miles
400 miles
700 miles
1,400 miles
600 miles
1,000 miles
600 miles 1,200 miles
800 miles
900 miles
The freight cost for each shipment is $100 plus 50 cents per mile.
How much should be shipped from each plant to each of the distribution
centers to minimize the total shipping cost?
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Draw the network representation of this problem.
c (c)Obtain an optimal solution.
Transcribed Image Text:9.1-1. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 1 2 3 4 1 800 miles Plant 2 1,100 miles 3 1,300 miles 400 miles 700 miles 1,400 miles 600 miles 1,000 miles 600 miles 1,200 miles 800 miles 900 miles The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. c (c)Obtain an optimal solution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 25 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.