a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective function and constraints for the problem. Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)
a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective function and constraints for the problem. Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
![A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 for
machines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows:
Component
A
B
с
с
Processing Time (hr)
Machine 1
Machine 2
0.25
0.20
0.10
30
28
19
0.10
0.15
0.05
Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces of
raw material 1 and 85,000 ounces of raw material 2 are available.
Component Raw Material 1
A
B
с
Requirements (oz/unit)
Raw Material 2
12
16
9
Machine 3
0.05
0.10
0.15
Selling Price ($/unit)
35.40
24.00
21.20
a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective function
and constraints for the problem.
Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0d7b6d6-ea5b-489b-88dd-0a85b3056728%2F0d520541-e57b-4155-b30e-4fb691f39399%2Fot56ncr_processed.png&w=3840&q=75)
Transcribed Image Text:A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 for
machines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows:
Component
A
B
с
с
Processing Time (hr)
Machine 1
Machine 2
0.25
0.20
0.10
30
28
19
0.10
0.15
0.05
Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces of
raw material 1 and 85,000 ounces of raw material 2 are available.
Component Raw Material 1
A
B
с
Requirements (oz/unit)
Raw Material 2
12
16
9
Machine 3
0.05
0.10
0.15
Selling Price ($/unit)
35.40
24.00
21.20
a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective function
and constraints for the problem.
Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)
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