Solve
-The Equation That Represents the Proper Traffic Control and Emergency

Solve.
-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 $4 \mathrm { P } + 2 \mathrm {~F} \leq 34$ 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 $P \geq 0$ and $F \geq 0$ . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for $\mathrm { P }$ and the vertical axis for $\mathrm { F }$ . If 5 police cars are on active duty and 4 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?

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