Consider the following two-person,zero-sum game.Payoffs are the winnings for Company X.Formulate the linear program that determines the optimal mixed strategy for Company X. 
Definitions:
Kinked
Often relating to the kinked-demand curve seen in oligopolistic markets, where firms face a price elasticity that abruptly changes as prices increase or decrease.
Oligopolist
A seller in an oligopoly market, a market structure characterized by a small number of firms dominating the market.
Payoff Matrix
A table showing the potential outcomes or payoffs from different decisions or strategies in game theory.
Duopoly
A market structure characterized by two producers or sellers dominating a particular industry or sector.
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