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 $128, how will the optimal solution and profit change? The optimal solution when the profit for SpeedBuster is decreased to $128 is to produce LaserStop and SpeedBuster. This solution gives the maximum possible profit, which is $ . This solution is the same as the original solution, because the number of LaserStop models produced has stayed the same and the number of SpeedBuster models produced as |stayed the same. (Type integers or decimals rounded to two decimal places as needed.) b. If the unit profit for LaserStop is increased to $215, how will the optimal solution and profit change? The optimal solution when the profit for LaserStop is increased to $215 is to produce |LaserStop and |SpeedBuster. This solution gives the | minimum possible profit, which is $ . This solution is not the same as the original solution, because the number of LaserStop models produced has stayed the same and the number of SpeedBuster models produced as stayed the same. (Type integers or decimals rounded to two decimal places as needed.) c. If an additional 1,500 units of component A are available, can you predict how the optimal solution and profit will be affected? If an additional 1,500 units of component A are available, the profit will | stay the same and the number of units produced will | stay the same, because Component A was a binding variable in the original problem. d. If a supplier delay results in only 3,500 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 3,500 units of component B are available, the profit will stay the same and the number of units produced will | stay the same, because, in the original solution, ComponentB | was not a binding variable and there were less than | 3,500 units used. ? Enter your answer in each of the answer boxes.Data Table and Linear Optimization Model X Components Required/Unit A B Profit/Unit LaserStop 19 122 Speedbuster 13 134 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 = 122 L + 134 S 19 L + 13 S s 5,000 (Component A) 5 L + 8 S s 4,500 (Component B) L 20 and $ 20 Print Done
