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 = 123L+139S       17 L+11 S≤5000 (Availability of component A)     5L+9S≤4500 (Availability of component B)     L≥0 and S≥0     Implement the linear optimization model and find an optimal solution. Interpret the optimal solution.   The optimal solution is to produce _ LaserStop models and _ SpeedBuster models. This solution gives the maximum possible profit, which is $_   (Type integers or decimals rounded to two decimal places as needed.) Part 2 Component A *is, is not*  a binding constraint and it has _ slack. Component B *is, is not* is a binding constraint and it has _ slack.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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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
=
123L+139S
 
 
 
17 L+11 S≤5000
(Availability of component A)
 
 
5L+9S≤4500
(Availability of component B)
 
 
L≥0
and
S≥0
 
 
Implement the linear optimization model and find an optimal solution. Interpret the optimal solution.
 
The optimal solution is to produce _ LaserStop models and _ SpeedBuster models. This solution gives the maximum possible profit, which is $_
 
(Type integers or decimals rounded to two decimal places as needed.)
Part 2
Component A *is, is not*  a binding constraint and it has _ slack.
Component B *is, is not* is a binding constraint and it has _ slack.
 

 

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ISBN:
9781337406659
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Publisher:
Cengage,