Answer
a. 8 taxis can be used to pick up passengers.
b. 7 taxis can be driven.
Work Step by Step
A taxi can be used to pick up passengers if, and only if:
- There is a free taxi driver.
- There is a car to drive.
a.
- There are 8 free taxi drivers and 10 cars to drive.
If each taxi driver picks up exactly one car, at the end, 8 cars will be used to pick up passengers, but, since there are no more taxi drivers, this is the maximum number of active taxi drivers (8).
b.
- There are 10 free taxi drivers, but only 7 cars to drive.
If each car is occupied by one taxi driver, at the end, 7 cars will be used to pick up passengers, but, since there are no more cars available, this is the maximum number of active taxi drivers (7).
