Joe Is the Owner of the 7-11 Mini Mart,Sam Is

Joe is the owner of the 7-11 Mini Mart,Sam is the owner of the SuperAmerica Mini Mart and together they are the only gas stations in town.At the current price of $3 per gallon,both receive total revenues of $1,000.Joe is considering cutting his price to $2.90,which would increase his total revenue to $1,350 if Sam continues to charge $3.If Sam's price remains $3 after Joe cuts his price,Sam will collect $500 in revenues.If Sam cuts his price to $2.90,his total revenues would also rise to $1,350 if Joe continues to charge $3.Joe will collect $500 in revenues if he keeps his price at $3 while Sam lowers his to $2.90.Joe and Sam will receive $900 each in total revenue if they both lower their price to $2.90.You may find it easier to answer the following question if you fill in the payoff matrix below. $\begin{array}{c}\quad \quad \quad \quad \quad \quad \quad \text { Joe }\\\text { Sam }\begin{array}{|c|c|c|} \hline& \begin{array}{c}\text { Cut } \\\text { Price }\end{array} & \begin{array}{c}\text { Keep Old } \\\text { Price }\end{array} \\\hline \text { Cut } & & \\\text { Price } & & \\\hline \begin{array}{c}\text { Keep Old } \\\text { Price }\end{array} & & \\\hline\end{array}\end{array}$
Refer to the information given above.The clear outcome of this game is that:

A) Joe will cut his price and Sam won't.
B) both will cut price to $2.90.
C) Sam will cut his price and Joe won't.
D) neither Joe nor Sam will cut his price.