Components Required/Unit A B 6 13 9 19 LaserStop Speedbuster Profit/Unit 126 135 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 = 126 L + 135 S + 19 L + 13 S 35,000 6 L +9 5 34,500 L20 and S20 (Component A) (Component B)
a. If the unit profit for SpeedBuster is decreased to $131, how will the optimal solution and profit change? This solution is the same as the original The optimal solution when the profit for SpeedBuster is decreased to $131 is to produce o LaserStop and SpeedBuster. This solution gives the maximum possible profit, which is $ solution, because the number of LaserStop models produced has decreased 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 $225, how will the optimal solution and profit change? The optimal solution when the profit for LaserStop is increased to $225 is to produce LaserStop and SpeedBuster. This solution gives the maximum possible profit, which is $ This solution is the same as the original and the number of SpeedBuster models produced as decreased. solution, because the number of LaserStop models produced has increased (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 increase and the number of units produced will decrease, 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? decrease and the number of units produced will increase, because, in the original solution, Component B was not a binding variable and there were more than If only 3,500 units of component B are available, the profit will 3,500 units used.
Components Required/Unit A B 6 13 9 19 LaserStop Speedbuster Profit/Unit 126 135 After reviewing the components required
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Components Required/Unit A B 6 13 9 19 LaserStop Speedbuster Profit/Unit 126 135 After reviewing the components required
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