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Valencia Products make 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 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=123 L + 138 S 18 L+11 Ss3000 5L+9 S≤2500 L20 and S20 (Component A) (Component B) (Nonnegativity) The optimal integer solution is to produce 0 LaserStop and 272 SpeedBuster. This solution gives the maximum possible profit, which is $ 37,536. (Round to the nearest whole number as needed.) The absolute value of the difference between the optimal integer solution objective function and the linear optimization have provided the optimal integer solution objective function is $. Rounding the continuous solution solution. (Type integers or decimals rounded to two decimal places as needed would not would

Valencia Products make 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 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=123 L + 138 S 18 L+11 Ss3000 5L+9 S≤2500 L20 and S20 (Component A) (Component B) (Nonnegativity) The optimal integer solution is to produce 0 LaserStop and 272 SpeedBuster. This solution gives the maximum possible profit, which is $ 37,536. (Round to the nearest whole number as needed.) The absolute value of the difference between the optimal integer solution objective function and the linear optimization have provided the optimal integer solution objective function is $. Rounding the continuous solution solution. (Type integers or decimals rounded to two decimal places as needed would not would

Practical Management Science
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...
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Valencia Products make 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 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 = 123 L+138 S 18 L+11 S≤3000 5L+9 S≤2500 L20 and S20 (Component A) (Component B) (Nonnegativity) The optimal integer solution is to produce 0 LaserStop and 272 SpeedBuster. This solution gives the maximum possible profit, which is $ 37,536. (Round to the nearest whole number as needed.) The absolute value of the difference between the optimal integer solution objective function and the linear optimization have provided the optimal integer solution objective function is $. Rounding the continuous solution solution. (Type integers or decimals rounded to two decimal places as needed would not would
Transcribed Image Text:Valencia Products make 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 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 = 123 L+138 S 18 L+11 S≤3000 5L+9 S≤2500 L20 and S20 (Component A) (Component B) (Nonnegativity) The optimal integer solution is to produce 0 LaserStop and 272 SpeedBuster. This solution gives the maximum possible profit, which is $ 37,536. (Round to the nearest whole number as needed.) The absolute value of the difference between the optimal integer solution objective function and the linear optimization have provided the optimal integer solution objective function is $. Rounding the continuous solution solution. (Type integers or decimals rounded to two decimal places as needed would not would
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