Problem $1(10$ points$)$

Operators at the local water treatment plant have reported the data shown below to determine how well the plant is operating.

a$)$ What percentage of the BOD does the treatment plant remove?

b$)$ Is the plant in compliance with its permit if it is required to remove $85\%$ of the BOD?

$\backslash$table$[[,$Volume of wastewater $[$mL$],$Initial DO of wastewater $[$mg$/$L$],$Volume of dilution water $[$mL$],$Initial DO of dilution water $[$mg$/$L$],$Final DO $[$mg$/$L$]],[$Influent to treatment facility,$5,3\mathrm{.}0,295,8\mathrm{.}5,6\mathrm{.}2],[$Effluent from treatment facility,$25,8\mathrm{.}2,275,8\mathrm{.}5,5\mathrm{.}9]]$