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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 + 85 H 0.5 S+2 A+0.3 Hs 50 0.75 S+2 A+ 3 Hs 50 S+A+Hs 50 2.25 S+5 A+4.3 Hs115 S.A. H20 (Hours cutting s 50) (Hours assembly s 50) (Hours finishing s 50) (Total hours/month s 115) (Nonnegativity) Adirondack chair(s), and hammock(s). This solution gives the V profit, which is $ The optimal integer solution is to produce sling chair(s), (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 + 85 H 0.5 S+2 A+0.3 Hs 50 0.75 S+2 A+ 3 Hs 50 S+A+Hs 50 2.25 S+5 A+4.3 Hs115 S.A. H20 (Hours cutting s 50) (Hours assembly s 50) (Hours finishing s 50) (Total hours/month s 115) (Nonnegativity) Adirondack chair(s), and hammock(s). This solution gives the V profit, which is $ The optimal integer solution is to produce sling chair(s), (Type whole numbers.)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.4: Marketing Models
Problem 30P: Seas Beginning sells clothing by mail order. An important question is when to strike a customer from...
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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+ 85 H 0.5 S+2 A+0.3 Hs 50 0.75 S+2 A+3 Hs 50 S+A+H< 50 2.25 S+5 A+4.3 Hs115 S, A, H20 (Hours cutting s 50) (Hours assembly s 50) (Hours finishing s 50) (Total hours/month s 115) (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.)
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+ 85 H 0.5 S+2 A+0.3 Hs 50 0.75 S+2 A+3 Hs 50 S+A+H< 50 2.25 S+5 A+4.3 Hs115 S, A, H20 (Hours cutting s 50) (Hours assembly s 50) (Hours finishing s 50) (Total hours/month s 115) (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.)
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