A corporation that produces gasoline and oil specialtyadditives purchases three grades of petroleum distillates, A$,$ B$,$ and C$.$ The com pany then combines the three according to specifications of the maximum orminimum percentages of grades A or C in each blend.Mixture Max $\%$ ofAllowed forAdditive AMin $\%$ Al lowed forAdditive CSelling Price$$/$gallonDeluxe $60\%20\%7\mathrm{.}9$Standard $15\%60\%6\mathrm{.}9$Economy $-50\%5\mathrm{.}0$Supplies of the three basic additives and their costs are:Distillate Maximum quan tity available perday $($gals$)$Cost $$/$gallonA $40000\mathrm{.}60$B $50000\mathrm{.}52$C $25000\mathrm{.}48$Formulate a linear program to determine the production policy that will maximize profits.