Situation #4
Flywithus Airlines is updating its security system at a major airport. The budget for new metal detectors is
$75,000. The airline has a maximum of 18 security guards available for each shift. There are two types of
metal detectors available. Unit A costs $5000, requires 1 security guard and can process 300 people per hour.
Unit B costs $7500, requires 2 security guards and can process 500 people per hour. Since Unit B has a better
reliability record, the purchasing agent has mandated that at least 4 units must be type B. Determine the
number of units of each type that should be purchased to maximize the number of people processed.
p. Define the variables
q. Write the constraints.