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 + 95 A + 90 H 0.5 S+2 A+ 0.6 H ≤ 50 0.85 S+2 A+ 3 H ≤ 50 S+A+H≤ 50 2.35 S +5 A+ 4.6 H≤ 120 S, A, H 20 (Hours cutting ≤ 50) (Hours assembly ≤ 50) (Hours finishing ≤50) (Total hours/month ≤ 120) (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 + 95 A + 90 H 0.5 S+2 A+ 0.6 H ≤ 50 0.85 S+2 A+ 3 H ≤ 50 S+A+H≤ 50 2.35 S +5 A+ 4.6 H≤ 120 S, A, H 20 (Hours cutting ≤ 50) (Hours assembly ≤ 50) (Hours finishing ≤50) (Total hours/month ≤ 120) (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.)
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
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 + 95 A + 90 H
0.5 S + 2 A+ 0.6 H ≤ 50
0.85 S + 2 A + 3 H ≤ 50
S + A+H≤ 50
2.35 S + 5 A + 4.6 H≤ 120
S, A, H≥0
The optimal integer solution is to produce
the
profit, which is $
(Type whole numbers.)
(Hours cutting ≤ 50)
(Hours assembly ≤ 50)
(Hours finishing ≤ 50)
(Total hours/month ≤ 120)
(Nonnegativity)
sling chair(s),
Adirondack chair(s), and
hammock(s). This solution gives
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 3 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.