Montgomery products makes auto 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 4000 of the component A and 3500 of component B. The number of each component required for each product and the profit per unit are given in the table provided.

a. Identify the decision variables, objective function, and constraints in simple verbal statements.

b. Mathematically formulate a linear optimization model.

Components Required/Unit A B Profit/Unit LaserStop 18 6 $124 SpeedBuster 12 8 $136