The following table shows the annual inputs of phosphorus to Lake Erie:

Source Matric Toms$/$ Yr

Lake Huron $945$

Land Drainage $2844$

Municipal waste $7914$

Industrial waste $857$

Total Sources $12560$

Outflow $1900$

Retained $0660$

a$.$ Convert the retained phosphorus to concentration in micrograms per liter, assuming that Lake

Erie contains $4\mathrm{.}8\backslash$times $1014$ L of water and that the average phosphorus retention time is $2\mathrm{.}60$ yr$.$

b$.$ What percentage of the input comes from municipal water?

c$.$ What percentage of the input comes from detergents, assuming they represent $60\%$ of the

municipal waste?

d$.$ If $10$ ppb of phosphorus triggers nuisance algal blooms, as has been reported in some

documents, would removing $40\%$ of the phosphorus in the municipal waste and all the

phosphorus in the industrial waste be effective in reducing the eutrophication $($i$.$e$.,$ the unwanted

algal blooms$)$ in Lake Erie?

e$.$ Would removing all of the phosphate in detergents help?