Homework Help is Here – Start Your Trial Now!
Business
Operations Management
3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Plastic Time Space Manufacture Purchase 40 8 16 24 8 BUTT 4 100000 320000 60000 Seat/Frame Rear wheel (each) Available Requirement 12 .20 Model Regular 3 Deluxe Heavy Page 4 of 9 Cost to 16 12 3 Cost to 2 24 18 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. 6 UNIVERS Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine Machine 1 Profit Margin $20 40 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Plastic Time Space Manufacture Purchase 40 8 16 24 8 BUTT 4 100000 320000 60000 Seat/Frame Rear wheel (each) Available Requirement 12 .20 Model Regular 3 Deluxe Heavy Page 4 of 9 Cost to 16 12 3 Cost to 2 24 18 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. 6 UNIVERS Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine Machine 1 Profit Margin $20 40 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

Practical Management Science
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...
See similar textbooks
icon
Related questions
Question
3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Seat/Frame Rear wheel (each) Available Requirement Plastic 12 16 .20 S Model Regular Deluxe Heavy 100000 Time 40 24 8 2 2 320000 60000 Page 4 of 9 Space Manufacture 8 16 8 4 Cost to 12 2 3 4 5 Cost to Purchase 24 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 18 6 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine 1 Machine 3 3 2 4 UNIVERSI Profit Margin $20 40 70 The company has 56 hours available for machine 1,80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.
Transcribed Image Text:3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Seat/Frame Rear wheel (each) Available Requirement Plastic 12 16 .20 S Model Regular Deluxe Heavy 100000 Time 40 24 8 2 2 320000 60000 Page 4 of 9 Space Manufacture 8 16 8 4 Cost to 12 2 3 4 5 Cost to Purchase 24 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 18 6 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine 1 Machine 3 3 2 4 UNIVERSI Profit Margin $20 40 70 The company has 56 hours available for machine 1,80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar 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.
SEE MORE TEXTBOOKS