S14.1. (LO S14.1, S14.2, S14.4) Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 kg of raw cotton per metre, whereas denim requires 5 kg of raw cotton per metre. A metre of corduroy requires 3.2 hours of processing time; a metre of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 metres per month. The manufacturer has 6500 kg of cotton and 3000 hours of processing time available each month. The manufacturer makes a profit of $2.25 per metre of denim and $3.10 per metre of corduroy. The manufacturer wants to know how many metres of each type of cloth to produce to maximize profit. a. Formulate and solve a linear programming model for this problem. b. Solve this model using the graphical method.
S14.1. (LO S14.1, S14.2, S14.4) Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 kg of raw cotton per metre, whereas denim requires 5 kg of raw cotton per metre. A metre of corduroy requires 3.2 hours of processing time; a metre of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 metres per month. The manufacturer has 6500 kg of cotton and 3000 hours of processing time available each month. The manufacturer makes a profit of $2.25 per metre of denim and $3.10 per metre of corduroy. The manufacturer wants to know how many metres of each type of cloth to produce to maximize profit. a. Formulate and solve a linear programming model for this problem. b. Solve this model using the graphical method.
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
| S14.1. (LO S14.1, S14.2, S14.4) Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 kg of raw cotton per metre, whereas denim requires 5 kg of raw cotton per metre. A metre of corduroy requires 3.2 hours of processing time; a metre of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 metres per month. The manufacturer has 6500 kg of cotton and 3000 hours of processing time available each month. The manufacturer makes a profit of $2.25 per metre of denim and $3.10 per metre of corduroy. The manufacturer wants to know how many metres of each type of cloth to produce to maximize profit. |
| a. Formulate and solve a linear programming model for this problem. |
| b. Solve this model using the graphical method. |
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 3 steps with 3 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.