Scenario $15\mathrm{.}1-$ The Jerk Store

George takes an eclectic mix of spices to make his authentic jerk seasoning as a rub for chicken, pork, and fish. The ingredients and packaging cost $$1\mathrm{.}50$ and he sells the packets by the case to Jerk Stores in the Caribbean for $$2\mathrm{.}50$ per packet. Tourists to the islands gladly pay $$8\mathrm{.}75$ for these packets, eager to host their friends for an authentic Caribbean meal and bore them with vacation photos upon their return. The demand for the packets is normally distributed, with a mean of $2500$ packets and a standard deviation of $600.$

If each Jerk Store location is acting independently, what is their expected profit if they order the optimal quantity?

$$13,521$

$$13,840$

$$16,789$

$$16,680$