Sport Tee Corporation Manufactures T-Shirts Bearing the Logos of Professional $S M C = 12 - 0.005 Q + 0.0000008 Q ^ { 2 }$

Sport Tee Corporation manufactures T-shirts bearing the logos of professional football teams.The wholesale market for sport T-shirts is perfectly competitive.The manager forecasts the wholesale price of T-shirts next year to be $7.00.The firm's estimated marginal cost is $S M C = 12 - 0.005 Q + 0.0000008 Q ^ { 2 }$ where Q is the number of T-shirts produced and sold each month.Sport Tee Corporation will have a fixed cost of $2,000 per month.To maximize profit how many T-shirts should be produced and sold each month?

A) 1,000
B) 2,000
C) 3,000
D) 4,000
E) 5,000