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 $=,124L+136S,$

$17L+11S5000,$

$6L+8S4500(ComponentA)$

$L0$ and $S0(NonnenentB)$