Generate a simulink model for a balloon with an inlet with a flow in Qin. The Qin has a triangular wave signal function f$($t$)$ with a wave period of $6$ seconds. The peak occurs at the first sec and declines to $0$ or no flow by the second sec$.$ no flow occurs for the next $4$ seconds. At the sixth sec the function begins to increase to $100$ once more and reaches is at $7$ seconds. The signal then goes down to no flow by eight seconds. Max inflow in the inlet is $100$ ml$.$

Pressure in the balloon is defined by P$($t$)$ and Vb$($t$)$ is the volume within the balloon. Compliance within the balloon is $0\mathrm{.}0125$ ml$/$mmHg$.$ The outlet of the balloon has a flow out of Qout$($t$)$ with resistance R $=250$ mmHg$/($ml$/$sec$)$ and a volume out of Vout$($t$)$ml$.$ Show the graphs for Qin, volume of the balloon vb$($t$)$ and flow out Qout$($t$)$ and volume out Vout$($t$)$ and pressure P$($t$).$ Note there is atmospheric pressure involved in the above system.