William J Hill runs a small batch artisanal bourbon distillery at a secluded location in the hills of Kentucky. He makes two products, known among his customers as Rotgut and White Lightning. The recipes for the two have been passed down in the Hill familyfor generations and are Rotgut: $1$ bushel of corn, $3$ pounds of sugar, $2$ hours of cooking time. For the premium blend, White Lightning, he needs $2$ bushels of corn, $2$ pounds of sugar, and $3$ hours of cooking time. Both recipes make enough to fill two jugs, which sell for $$8$ apiece for Rotgut and $$12$ apiece for White Lightning.