Solve the Problem $2 \mathrm { P } + 3 \mathrm {~F} \leq 23$

Multiple Choice

Solve the problem.
-The equation that represents the proper traffic control and emergency vehicle response availability in a small city is $2 \mathrm { P } + 3 \mathrm {~F} \leq 23$ , where $\mathrm { P }$ is the number of police cars on active duty and $\mathrm { F }$ is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation $2 \mathrm { P } + \mathrm { F } \leq 17$ is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so $\mathrm { P } \geq 0$ and $\mathrm { F } \geq 0$ . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for $\mathrm { P }$ and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?

A) $\mathrm { No }$

B) Yes

C) No

D) $\mathrm { Yes }$