Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. The firm can sell all it produces. Both models use the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each component required for each product and the profit per unit are given in the table.

Component A Component B Profit/Unit

LaserStop 18 6 $124

SpeedBuster 12 8 $136

Identify the decision variables, objective function, and constraints in simple verbal statements. Mathematically formulate a linear optimization model. Implement the linear optimization model that you developed for Valencia Products on a spreadsheet and use Solver to find an optimal solution. Interpret the Solver Answer Report, identify the binding constraints, and verify the values of the slack variables by substituting the optimal solution into the model constraints.