Consider a market with two firms and a market inverse demand

Consider a market with two firms and a market inverse demand: p= 90 – q , where q is the total market outputFirms have different marginal and fixed costs: Firm 1: c1 = 50 and FC1 =0Firm 2: c2 = 0 and FC2 = 50Assume the two firms choose prices simultaneously: (1) What is the Nash Equilibrium in prices? Justify. (2) How many units of output will each firm produce at the NE?

Consider a market with two firms and a market inverse demand

Consider a market with two firms and a market inverse demand:p= 90 – q , where q is the total market outputFirms have different marginal and fixed costs:Firm 1: c1 = 50 and FC1 =0Firm 2: c2 = 0 and FC2 = 50Assume the two firms choose prices simultaneously:(1) What is the Nash Equilibrium in prices? Justify.(2) How many units of output will each firm produce at the NE?