The forcasted demand for winter jackets is $500$ with a standard deviation of $50.$ will sell a jacket at the price of $$45.$ The manager gets jackets from their suppliers at $$25$ per a jacket. Any unsold jacket at the end of the season are disposed of for $$10$ and it costs $$3$ to hold a jacket in inventory for the season. What is the expected profit?

Question $3$ options:

A$)$

$$9,313$

B$)$

$$9,244$

C$)$

$$11,565$

D$)$

$$11,660$