1. An economy comprises two consumers, 1 and 2, with two consumption goods bi-cycles (b) and wheat . Both consumers have the same utility function μ Bi-cyclesandwheat areproducedbytwofirmswhichuseonlylabouraccordingtotheproductionfunctions b =l and l Both firms are owned by consumer 1, and consumer 2 owns 200 units of labour. (a) Find the production possibility frontier for this economy. (b) Find the competitive equilibrium. (c) Find competitive equilibrium if every consumer owns 100 units of labour and owns one firm. (d) Find the Pareto efficient allocations for this economy. 2. Assume that there are four firms supplying a homogenous product. They have identical cost functions given by C (Q) = 40 Q. If the demand curve for the industry is given by µ = 100 – Q, find the equilibrium industry output if the producers are Cournot competitors. What would be the resultant market price? What are the profits of each firm? Section B Answer all the questions from this section. 5×12=60 (a) Distinguish between pure strategy Nash equilibrium and mixed strategy equilibrium. When would you use mixed strategy equilibrium? (b) Find all the Nash equilibrium of the following game: Player 2 Left Right Player1 Up (5,4) Down (1,3) (4,1) (2,2)