Solve the Problem $\$ 400$ Per Person Plus $\$ 4$ Per Person for Each Unsold Seat on the Plane

Multiple Choice

Solve the problem.
-A charter flight charges a fare of $\$ 400$ per person plus $\$ 4$ per person for each unsold seat on the plane. If the plane holds 176 passengers and if $x$ represents the number of unsold seats, an expression for the total revenue received for the flight is $R(x) =(176-x) (400+4 x)$ . Find the maximum revenue.

A) $\$ 152,352$
B) $\$ 76,676$
C) $\$ 76,176$
D) $\$ 71,676$