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

question 74

Multiple Choice

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.

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Definitions:

Group Involvement

The participation and collaboration of multiple individuals or teams in the pursuit of a common goal or project.

68-95-99.7 Rule

A statistical rule stating that in a normal distribution, about 68% of observed values fall within one standard deviation, 95% within two, and 99.7% within three standard deviations of the mean.

Normally Distributed

Describes a statistical distribution where data points are symmetrically distributed around the mean, forming a bell-shaped curve.

Standard Deviation

A statistical measure that represents the amount of variation or dispersion from the average in a set of data.