Data Table and Linear Optimization Model LaserStop Speedbuster Components Required/Unit A B Profit/Unit 19 5 123 13 9 136 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 = 123 L+ 136 S 19 L+13 S≤5,000 5 L+ 9 S≤ 4,500 L≥ 0 and S≥ 0 (Component A) (Component B) 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 resulting linear optimization model are given in the accompanying tables. Complete parts a through d, answering each question independently relative to the original problem. Click the icon to view the data table and linear optimization model. a. If the unit profit for SpeedBuster is decreased to $130, how will the optimal solution and profit change? The optimal solution when the profit for SpeedBuster is decreased to $130 is to produce LaserStop and SpeedBuster. This solution gives the the same as the original solution, because the number of LaserStop models produced has (Type integers or decimals rounded to two decimal places as needed.) possible profit, which is $ and the number of SpeedBuster models produced as . This solution b. If the unit profit for LaserStop is increased to $210, how will the optimal solution and profit change? The optimal solution when the profit for LaserStop is increased to $210 is to produce LaserStop and the same as the original solution, because the number of LaserStop models produced has (Type integers or decimals rounded to two decimal places as needed.) SpeedBuster. This solution gives the possible profit, which is $ and the number of SpeedBuster models produced as This solution c. If an additional 1,000 units of component A are available, can you predict how the optimal solution and profit will be affected? If an additional 1,000 units of component A are available, the profit will original problem. and the number of units produced will because Component A a binding variable in the d. If a supplier delay results in only 4,000 units of component B being available, can you predict how the optimal solution and profit will be affected? Can you explain the result? If only 4,000 units of component B are available, the profit will and the number of units produced will because, in the original solution, Component B a binding variable and there were 4,000 units used.

Data Table and Linear Optimization Model LaserStop Speedbuster Components Required/Unit A B Profit/Unit 19 5 123 13 9 136 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 = 123 L+ 136 S 19 L+13 S≤5,000 5 L+ 9 S≤ 4,500 L≥ 0 and S≥ 0 (Component A) (Component B) 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 resulting linear optimization model are given in the accompanying tables. Complete parts a through d, answering each question independently relative to the original problem. Click the icon to view the data table and linear optimization model. a. If the unit profit for SpeedBuster is decreased to $130, how will the optimal solution and profit change? The optimal solution when the profit for SpeedBuster is decreased to $130 is to produce LaserStop and SpeedBuster. This solution gives the the same as the original solution, because the number of LaserStop models produced has (Type integers or decimals rounded to two decimal places as needed.) possible profit, which is $ and the number of SpeedBuster models produced as . This solution b. If the unit profit for LaserStop is increased to $210, how will the optimal solution and profit change? The optimal solution when the profit for LaserStop is increased to $210 is to produce LaserStop and the same as the original solution, because the number of LaserStop models produced has (Type integers or decimals rounded to two decimal places as needed.) SpeedBuster. This solution gives the possible profit, which is $ and the number of SpeedBuster models produced as This solution c. If an additional 1,000 units of component A are available, can you predict how the optimal solution and profit will be affected? If an additional 1,000 units of component A are available, the profit will original problem. and the number of units produced will because Component A a binding variable in the d. If a supplier delay results in only 4,000 units of component B being available, can you predict how the optimal solution and profit will be affected? Can you explain the result? If only 4,000 units of component B are available, the profit will and the number of units produced will because, in the original solution, Component B a binding variable and there were 4,000 units used.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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