Ava works at the cranberry plant in town, which uses a common process of cleaning, sorting, flash freezing, and crushing the berries. At the end of this process, which costs $$40,000,$ cranberry juice and cranberry puree are available. The cranberry puree is then made into sauce, at an additional cost of $$1\mathrm{.}50$ per pound, while the cranberry juice is further processed into syrup, at an additional cost of $$2\mathrm{.}00$ per gallon. There is no change in volume during the additional processing. Additional information is as follows.

$\backslash$table$[[$Yield from joint process,$16,000,$pounds of puree$],[,8,000,$gallons of juice$],[$Sales prices at split$-$off point,$$2\mathrm{.}00,$per pound of puree$],[,$$$4\mathrm{.}00,$per gallon of juice$],[$Sales prices after further processing,$$4\mathrm{.}00,$per pound of sauce$],[,$$$7\mathrm{.}50,$per gallon of syrup$]]$