Chapter 10, Problem 33RE

Advertising A small town has two competing grocery stores, store $R$ and store $C$. Every week each store decides to advertise its specials using either a newspaper ad or a mailing. The following payoff matrix indicates the percentage of market gain or loss for each choice of action by store $R$ and store $C$.

$\begin{array}{l}C\\ \begin{array}{cc}\text{ Paper}& \text{Mail}\end{array}\\ R\begin{array}{c}\text{Paper}\\ \text{Mail}\end{array}\left[\begin{array}{cc}1& -6\\ -5& 4\end{array}\right]\end{array}$

Use linear programming and a geometric approach to find optimal strategies for store $R$ and store $C$.