Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs: sling chairs, Adirondack chairs, and hammocks. After reviewing the labor required for each type of chair, the following linear optimization model for profit was found, where S is the number of sling chairs produced, A is the number of Adirondack chairs produced, and H is the number of hammocks produced. Implement the linear optimization model and find an optimal solution, ensuring that the number of units produced is integer-valued. How much difference is there between the optimal integer solution objective function and the linear optimization solution objective function? Would rounding the continuous solution have provided the optimal integer solution? Maximize Profit=35 S+100 A+90 H 0.6 S+2A+0.4 H≤40 0.75 S+2A+3 H≤40 S+A+H≤40 2.35 S+5 A+4.4 H≤85 S, A, H≥0 (Hours cutting s40) (Hours assembly s40) (Hours finishing ≤40) (Total hours/month ≤85) (Nonnegativity) The optimal integer solution is to produce sling chair(s). Adirondack chair(s), and hammock(s). This solution gives the profit, which is (Type whole numbers.)
Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs: sling chairs, Adirondack chairs, and hammocks. After reviewing the labor required for each type of chair, the following linear optimization model for profit was found, where S is the number of sling chairs produced, A is the number of Adirondack chairs produced, and H is the number of hammocks produced. Implement the linear optimization model and find an optimal solution, ensuring that the number of units produced is integer-valued. How much difference is there between the optimal integer solution objective function and the linear optimization solution objective function? Would rounding the continuous solution have provided the optimal integer solution? Maximize Profit=35 S+100 A+90 H 0.6 S+2A+0.4 H≤40 0.75 S+2A+3 H≤40 S+A+H≤40 2.35 S+5 A+4.4 H≤85 S, A, H≥0 (Hours cutting s40) (Hours assembly s40) (Hours finishing ≤40) (Total hours/month ≤85) (Nonnegativity) The optimal integer solution is to produce sling chair(s). Adirondack chair(s), and hammock(s). This solution gives the profit, which is (Type whole numbers.)
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...
Question
please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
![Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs: sling chairs, Adirondack chairs, and hammocks. After reviewing the labor required for
each type of chair, the following linear optimization model for profit was found, where S is the number of sling chairs produced, A is the number of Adirondack
chairs produced, and H is the number of hammocks produced. Implement the linear optimization model and find an optimal solution, ensuring that the number of
units produced is integer-valued. How much difference is there between the optimal integer solution objective function and the linear optimization solution
objective function? Would rounding the continuous solution have provided the optimal integer solution?
Maximize Profit=35 S+100 A+90 H
0.6 S+2A+0.4 H≤40
0.75 S+2A+3 H≤40
S+A+H≤40
2.35 S+5 A+4.4 H≤85
S, A, H≥0
(Hours cutting s40)
(Hours assembly s40)
(Hours finishing ≤40)
(Total hours/month ≤85)
(Nonnegativity)
The optimal integer solution is to produce
sling chair(s). Adirondack chair(s), and
hammock(s). This solution gives the
profit, which is
(Type whole numbers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa726c1d6-156f-426c-9334-be9d274429a6%2F1231c4b7-e856-4924-9033-42ad4460bd74%2Fxbxajzo_processed.png&w=3840&q=75)
Transcribed Image Text:Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs: sling chairs, Adirondack chairs, and hammocks. After reviewing the labor required for
each type of chair, the following linear optimization model for profit was found, where S is the number of sling chairs produced, A is the number of Adirondack
chairs produced, and H is the number of hammocks produced. Implement the linear optimization model and find an optimal solution, ensuring that the number of
units produced is integer-valued. How much difference is there between the optimal integer solution objective function and the linear optimization solution
objective function? Would rounding the continuous solution have provided the optimal integer solution?
Maximize Profit=35 S+100 A+90 H
0.6 S+2A+0.4 H≤40
0.75 S+2A+3 H≤40
S+A+H≤40
2.35 S+5 A+4.4 H≤85
S, A, H≥0
(Hours cutting s40)
(Hours assembly s40)
(Hours finishing ≤40)
(Total hours/month ≤85)
(Nonnegativity)
The optimal integer solution is to produce
sling chair(s). Adirondack chair(s), and
hammock(s). This solution gives the
profit, which is
(Type whole numbers.)
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
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning