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.

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

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

b. Mathematically formulate a linear optimization model.