A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the wood cutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver
A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the wood cutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver
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...
Related questions
Question
Linear Programming
- A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the wood cutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver.
A. Identify the feasible region for the following set of constraints:
Transcribed Image Text:3x-2y2 0
v20
2x-y<200
x<150
X, v 2 0
VI
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
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…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.