Suppose that two mining companies, AMC and SAMI control the only sources of a rare mineral used in making certain electronic components. The companies have agreed to form a cartel to set the profit maximizing price of the mineral, AMC earns an annual profit of $30million and SAMI earns $20million. If AMC does not abide and SAMI abide, AMC earns $40million and SAMI earns $5million. If SAMI does not abide and AMC abides, then AMC earns $10million and SAMI earns $30million.If both companies do not abide, AMC earns $15million and SAMI earns $10million. a) Develop a payoff matrix b) In the absence of a binding agreement, determine the advertising strategy and minimum payoff for AMC. c) In the absence of a binding agreement, determine the advertising strategy and minimum payoff for SAMI. d) If the two firms enter into a binding and enforceable agreement, determine the strategy they chose