Black Diamond Tennis & Golf Club Offers Golf and Tennis

Black Diamond Tennis & Golf Club offers golf and tennis memberships to the residents of Black Diamond,Ohio,in which there are two types of families: golf-oriented families and tennis-oriented families.There are 100 golf-oriented families and 100 tennis-oriented families in Black Diamond.Forecasted demand prices for golf and tennis memberships by family type are given below.There is no way to identify family types for pricing purposes,and all costs are fixed so that maximizing total revenue is equivalent to maximizing profit. Demand Prices for Golf and Tennis Memberships $$\begin{array} { | l | l | l | } \hline \text { Type of family } & \begin{array} { l } \text { Tennis } \\\text { membership only }\end{array} & \begin{array} { l } \text { Golf membersh? } \\\text { only }\end{array} \\\hline \text { Tennis-oriented } & \$ 150 & \$ 50 \\\hline \text { Golf-oriented } & \$ 75 & \$ 200 \\\hline\end{array}$$ What is the optimal price to charge for a bundled tennis and golf and tennis membership?

A) $150
B) $200
C) $225
D) $250
E) $275