The company must produce 2000 units of A weekly. The company can purchase up to 1 ton of the raw material for $4/lb from one source and an unlimited amount from another source for $5.50/lb. The firm has 900 hr of labor available at $8/hr, and an additional 200 hr of overtime available at S12/hr. The company pays only for the labor and raw material it uses. Formulate a LPP to determine how many hours should each machine be used to meet demands at minimum cost? Hint: To incorporate the labor and raw material into the function to be optimized, divide the total raw material into two increments, say M, and M2, and divide the total labor into two increments, say L, and Ly. (Hint: try to write cost function only in terms of M,,M,, L, and L)
The company must produce 2000 units of A weekly. The company can purchase up to 1 ton of the raw material for $4/lb from one source and an unlimited amount from another source for $5.50/lb. The firm has 900 hr of labor available at $8/hr, and an additional 200 hr of overtime available at S12/hr. The company pays only for the labor and raw material it uses. Formulate a LPP to determine how many hours should each machine be used to meet demands at minimum cost? Hint: To incorporate the labor and raw material into the function to be optimized, divide the total raw material into two increments, say M, and M2, and divide the total labor into two increments, say L, and Ly. (Hint: try to write cost function only in terms of M,,M,, L, and L)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 1C
Related questions
Question
solve by forming a mathematical method (equations) and answer the question
![Problem 2. A company has three machines to make units of A. Input and output data for 1 hr of
operation of each machine are as follows:
Input
Output
Raw
Labor
Material
(worker-
(units of A)
(lb)
hours)
Machine I
Machine 2
Machine 3
80
16
37
50
35
43
76
33
52
The company must produce 2000 units of A weekly. The company can purchase up to I ton of
the raw material for $4/lb from one source and an unlimited amount from another source for
$5.50/lb. The firm has 900 hr of labor available at $8/hr, and an additional 200 hr of overtime
available at S12/hr. The company pays only for the labor and raw material it uses. Formulate a
LPP to determine how many hours should each machine be used to meet demands at minimum
cost? Hint: To incorporate the labor and raw material into the function to be optimized, divide
the total raw material into two increments, say M, and M2, and divide the total labor into two
increments, say L, and L2. (Hint: try to write cost function only in terms of M,. M2, L, and L2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3740170-4dfd-4f76-a86d-7978f4461d1c%2F2467cb81-6846-456c-9d24-185a588fe910%2F6gubon_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2. A company has three machines to make units of A. Input and output data for 1 hr of
operation of each machine are as follows:
Input
Output
Raw
Labor
Material
(worker-
(units of A)
(lb)
hours)
Machine I
Machine 2
Machine 3
80
16
37
50
35
43
76
33
52
The company must produce 2000 units of A weekly. The company can purchase up to I ton of
the raw material for $4/lb from one source and an unlimited amount from another source for
$5.50/lb. The firm has 900 hr of labor available at $8/hr, and an additional 200 hr of overtime
available at S12/hr. The company pays only for the labor and raw material it uses. Formulate a
LPP to determine how many hours should each machine be used to meet demands at minimum
cost? Hint: To incorporate the labor and raw material into the function to be optimized, divide
the total raw material into two increments, say M, and M2, and divide the total labor into two
increments, say L, and L2. (Hint: try to write cost function only in terms of M,. M2, L, and L2)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,