Valencia Products make automobile radar detectors and assembles two nodels LaserStop and SpeedBuster Both models use the same electronic components. For the next month, the supply of these is limited to 5,000 of component A and 4,500 of component B. The number of each component roquired for each product, the profit per unit, and the resulting linear optimization model are given in the accompanying tables. Complete parts a through d, answering each question independently relative to the original problem. E Click the icon to vicw the data table and linear optimization model. a. If the unit profit for SpeedBuster is decreased to $131, how will the optimal solution and profit change? The optimal solution when the profit for SpeedBuster is decreased to $131 is to produce Laser Stop und SpeedRuster This solution gives the V possible profit, which is $ This solution the same as the original solution, because the number of LaserStop models produced has V and the number of SpeedBuster models produced as (Type integers or decimals rounded to two decimal places as needed.) Data Table and Linear Optimization Model Components Required Unit B Profit/Unit LaserStop 19 6. 125 Speedbuster 12 9 136 After reviewing the components required and the profit for each model, the firm found the following linear optimizat on model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Maximize Profit = 125 L+ 136 S 19 L 12 Ss5,000 6L +9S54,500 L20 and Sz0 (Component A) (Component B)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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15.1.1See picture to solve
Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. For the next month, the supply of these is limited to 5,000 of component A and
4,500 of component B. The number of each component required for each product, the profit per unit, and the rosulting linear optimization model are given in the accompanying tables. Complete parts a through d, answering each question
independently relative to the original problem.
E Click the icon to vicw the data table and linear optimization model.
a. If the unit profit for SpeedBuster is decreased to $131, how will the optimal solution and profit change?
The optimal solution when the profit for SpeedBuster is decroased to $131 is to produce Laser Stop and SpeedRuster This solution gives the
V possible profit, which is $. This solution
the same as the original
solution, because the number of LaserStop models produced has
V and the number of SpeedBuster models produced as
(Type integers or decimals rounded to two decimal places as needed.)
Data Table and Linear Optimization Model
Components Required/Unit
A
B
Profit/Unit
LaserStop
Speedbuster
19
6
125
12
136
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.
Maximize Profit = 125 L + 136S
19 L+ 12 Ss5,000
6L +GS<4,500
L20 and S20
(Component A)
(Component B)
Transcribed Image Text:Valencia Products make automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. For the next month, the supply of these is limited to 5,000 of component A and 4,500 of component B. The number of each component required for each product, the profit per unit, and the rosulting linear optimization model are given in the accompanying tables. Complete parts a through d, answering each question independently relative to the original problem. E Click the icon to vicw the data table and linear optimization model. a. If the unit profit for SpeedBuster is decreased to $131, how will the optimal solution and profit change? The optimal solution when the profit for SpeedBuster is decroased to $131 is to produce Laser Stop and SpeedRuster This solution gives the V possible profit, which is $. This solution the same as the original solution, because the number of LaserStop models produced has V and the number of SpeedBuster models produced as (Type integers or decimals rounded to two decimal places as needed.) Data Table and Linear Optimization Model Components Required/Unit A B Profit/Unit LaserStop Speedbuster 19 6 125 12 136 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. Maximize Profit = 125 L + 136S 19 L+ 12 Ss5,000 6L +GS<4,500 L20 and S20 (Component A) (Component B)
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