Assume the demand function for a magical sprout juice producer is P $=6,153-3$Q$.$ This juice producer also owns an upstream magical sprout farm that produces magical sprouts at a cost of Cu$($Q$)=4\mathrm{.}06$Q$^2.$ The cost of turning the fruit into juice is Cd$($Q$)=319$Q$.$ What is the optimal transfer price for each magical sprout if there is no external market for magical sprouts?

$$990\mathrm{.}86$

$$2,809\mathrm{.}86$

$$1,872\mathrm{.}59$

$$3,354\mathrm{.}94$