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.

a. Identify the decision variables, objective function, and constraints in simple verbal statements.
b. Mathematically formulate a linear optimization model.

Components Required/Unit LaserStop SpeedBuster 18 12 B Profit/unit 6 10 $24 $40