A) United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different production capacity (in tons per day) for each grade, as shown below. The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5 tons of low- grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the number of days to operate each mill in order to meet the contract at the minimum cost. Formulate a linear programming model for this problem. Define x₁ as the number of operation days for mill 1, x2 as the number of operation days for mill 2, and Z as the total cost. Which of the following model formulations is correct? Aluminum Grade High Medium Low 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 1 Group of answer choices Maximize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 6 2 4 Mill Maximize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 2 2 2 10

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...
icon
Related questions
Question

Please do not give solution in image format thanku 

A) United Aluminum Company of Cincinnati
produces three grades (high, medium, and low)
of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each
grade, as shown below. The company has
contracted with a manufacturing firm to supply at
least 12 tons of high-grade aluminum, 8 tons of
medium-grade aluminum, and 5 tons of low-
grade aluminum. It costs United $6,000 per day
to operate mill 1 and $7,000 per day to operate
mill 2. The company wants to know the number
of days to operate each mill in order to meet the
contract at the minimum cost. Formulate a linear
programming model for this problem. Define X₁
as the number of operation days for mill 1, x2 as
the number of operation days for mill 2, and Z as
the total cost. Which of the following model
formulations is correct?
Aluminum Grade
High
Medium
Low
1
6
2
4
Mill
Group of answer choices
Maximize Z=6000x1+7000x2
s.t. 6x1+2x2>=12
2x1+2x2>=8
4x1+10x2>=5
x1, x2>=0
Maximize Z=6000x1+7000x2
s.t. 6x1+2x2<=12
2x1+2x2<=8
4x1+10x2<=5
x1, x2>=0
2x1+2x2<=8
4x1+10x2<=5
x1, x2>=0
Minimize Z=6000x1+7000x2
s.t. 6x1+2x2<=12
Minimize Z=6000x1+7000x2
s.t. 6x1+2x2>=12
2x1+2x2>=8
4x1+10x2>=5
x1, x2>=0
2
2
2
10
Transcribed Image Text:A) United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different production capacity (in tons per day) for each grade, as shown below. The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5 tons of low- grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the number of days to operate each mill in order to meet the contract at the minimum cost. Formulate a linear programming model for this problem. Define X₁ as the number of operation days for mill 1, x2 as the number of operation days for mill 2, and Z as the total cost. Which of the following model formulations is correct? Aluminum Grade High Medium Low 1 6 2 4 Mill Group of answer choices Maximize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 Maximize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 2x1+2x2<=8 4x1+10x2<=5 x1, x2>=0 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2<=12 Minimize Z=6000x1+7000x2 s.t. 6x1+2x2>=12 2x1+2x2>=8 4x1+10x2>=5 x1, x2>=0 2 2 2 10
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.