Valencia Products makes automobile radar detectors and assembles two models: Laser Stop and Speed Buster. 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

A B Profit/Unit

LaserStop 18 6 $24

SpeedBuster12 10 $40

"For Valencia Products modify the data in the model to create a problem with each of the following.

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

b) Mathematically formulate a linear optimization model.