Routing 1 uses drying press A, and routing 2 uses drying press B. Both routings require the same mixing to blend chemicals for the dye before drying. The following table shows the time requirements and capacities of these processes: Routing 1 Process Mixing Dryer A Dryer B 0 8 Each kilogram of dye processed on routing 1 uses 20 titers of chemicals, whereas each kilogram of dye processed on routing 2 uses only 15 liters. The difference results from differing yield rates of the drying presses. Consequently, the profit per kilogram processed on routing 1 is $50 and on routing 2 Is $65. A total of 450 liters of input chemicals is available. 1. Write the constraints and objective function to maximize profits. 2. Use the graphic method of linear programming to find the optimal solution. 2 Time requirements (hr/kg) Routing 2 6 Capacity (hr) 2 0 54 120 180
Routing 1 uses drying press A, and routing 2 uses drying press B. Both routings require the same mixing to blend chemicals for the dye before drying. The following table shows the time requirements and capacities of these processes: Routing 1 Process Mixing Dryer A Dryer B 0 8 Each kilogram of dye processed on routing 1 uses 20 titers of chemicals, whereas each kilogram of dye processed on routing 2 uses only 15 liters. The difference results from differing yield rates of the drying presses. Consequently, the profit per kilogram processed on routing 1 is $50 and on routing 2 Is $65. A total of 450 liters of input chemicals is available. 1. Write the constraints and objective function to maximize profits. 2. Use the graphic method of linear programming to find the optimal solution. 2 Time requirements (hr/kg) Routing 2 6 Capacity (hr) 2 0 54 120 180
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
Note:-
- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
- Answer completely.
- You will get up vote for sure.

Transcribed Image Text:A manufacturer of textile dyes can use two different processing routings for a particular type of dye.
Routing 1 uses drying press A, and routing 2 uses drying press B. Both routings require the same mixing v
to blend chemicals for the dye before drying. The following table shows the time requirements and
capacities of these processes:
Routing 1
Process
Mixing
Dryer A
0
Dryer B
8
Each kilogram of dye processed on routing 1 uses 20 titers of chemicals, whereas each kilogram of dye
processed on routing 2 uses only 15 liters. The difference results from differing yield rates of the drying
presses. Consequently, the profit per kilogram processed on routing 1 is $50 and on routing 2 Is $65. A
total of 450 liters of input chemicals is available.
1. Write the constraints and objective function to maximize profits.
2. Use the graphic method of linear programming to find the optimal solution.
2
Time requirements (hr/kg)
Routing 2
6
0
Capacity (hr)
2
54
120
180
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 5 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.