Scenario 15.2 - the Hilltop

Scenario 15.2 - The Hilltop
Gregory and his followers scavenge the countryside for anything of value and with minimal investment,make it ready to provide for any customer visiting their compound.Their average investment in a product is $3,and one popular product,body armor,is in high demand.Residents of The Kingdom and Alexandria in particular,are eager to procure The Hilltop's body armor for $65 and sell it to anyone left in the world at an average price of $650.The demand for the body armor is normally distributed,with a mean of 250 units and a standard deviation of 50.
-If The Kingdom and Alexandria are acting independently,what is their expected profit if they order the optimal quantity?

A) $135,218
B) $138,402
C) $140,546
D) $167,894