Valencia Products makes automobile radar detectors and assembles two models; LaserStop and SpeedBuster. The firm can sell all it products. Both models use the same electronic components. Two if 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.

Component Required/ Unit

A

B

Profit/unit

LaserStop

18

6

$24

SpeedBuster

12

10

$40

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

b. Mathematically formulate a linear optimization model.