A small township is down stream of a major lake and the residence are concerned that the lake may overflow soon. 

Using the lake bucket model below (week 4) estimate the lake overflow (as mm) at the end of the day.

\frac{dS}{dt} = \frac{A_{catchment}} {A_{lake}} * f * P - E

Catchment properties:

• Catchment area, A_{catchment} of 11 km^2
• Lake area, A_{lake}, of 2 km^2
• Initial storage of lake 3870 mm

• Maximum storage of lake 4009 mm

• Fraction of rainfall to streamflow, f

  , of 0.31

• Average evaporation, E, of 4.3 mm/day
• Rainfall over the day, P

  ,  of 64 mm/day