Question: 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 $12
SpeedBuster 12 10 $40
a. Identify the decision variables, objective function, and constraints in simple verbal statements.
b. Mathematically formulate a linear optimization model.