Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm ound the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to ind an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables. Maximize Profit = 125 L+ 137 S 18 L+11 SS4000 (Availability of component A) (Availability of component B) 5L+9SS3500 L20 and S20 The optimal solution is to produce 0 LaserStop models and 363.64 SpeedBuster models. This solution gives the maximum possible profit, which is $ 49818.18. Type integers or decimals rounded to two decimal places as needed.) Component A is a binding constraint and it has 0 slack Component B is not a binding constraint and it has 3500 slack. Type integers or decimals rounded to two decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm
found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to
find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables.
Maximize Profit = 125 L+ 137 S
18 L+ 11 S< 4000
5 L+9 S< 3500
L20 and S20
(Availability of component A)
(Availability of component B)
The optimal solution is to produce 0 LaserStop models and 363.64 SpeedBuster models. This solution gives the maximum possible profit, which is $ 49818.18.
(Type integers or decimals rounded to two decimal places as needed.)
Component A
is
a binding constraint and it has 0 slack.
Component B is not a binding constraint and it has 3500 slack.
(Type integers or decimals rounded to two decimal places as needed.)
Transcribed Image Text:Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables. Maximize Profit = 125 L+ 137 S 18 L+ 11 S< 4000 5 L+9 S< 3500 L20 and S20 (Availability of component A) (Availability of component B) The optimal solution is to produce 0 LaserStop models and 363.64 SpeedBuster models. This solution gives the maximum possible profit, which is $ 49818.18. (Type integers or decimals rounded to two decimal places as needed.) Component A is a binding constraint and it has 0 slack. Component B is not a binding constraint and it has 3500 slack. (Type integers or decimals rounded to two decimal places as needed.)
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