The inflow hydrograph to a dredged rectangular channel is given below. The channel has a width of $100$ ft $,$ a bottom slope of $0\mathrm{.}001,$ and a smooth, uniform rock cut lining $($normal condition$).$ The length of the channel is $30,000ft.$ Using the kinematic wave method, calculate and plot the outflow hydrograph on the same graph as the inflow hydrograph.

$\backslash$table$[[$Time $($min$),$Inflow $($cfs$)],[0,2500],[20,2500],[40,3500],[60,4500],[80,5500],[100,6500],[120,5000],[140,4000],[160,3000],[180,2000],[200,2000],[220,2000]]$