2. Two firms, called Polluter 1 and Polluter 2, produce good A. The production of A...
2. Consider a Cournot competition model with two firms, 1 and 2. They produce identical goods in the same market with demand function P= 100-5Q with Q=91 +92. Furthermore, their production process generates pollution to the environment, which increases their cost of production. Their cost functions are given by C1(91,92) = 109,- +5Q and C291,92) = 15922 +45Q. a (10pts) Calculate their equilibrium quantities, price, and profits for both firms. b. (5pts) Consider they collude and form a cartel. That...
2. There are two firms in a market that produce an identical good, both with marginal cost MC=10. Fixed costs are zero for both firms. Suppose inverse demand for a product is P= 130 – e a) If the firms set the monopoly price and split the monopoly quantity. What quantities do they choose and what profit do they receive? b) Suppose they set quantities simultaneously. That is, suppose the firms play a Cournot game. What quantities do they choose...
Two firms produce apples in Santa Cruz—call them firm 1 and firm 2. Apples produced by firm 1 are indistinguishable from apples produced by firm 2. The marginal cost of producing a bushel of apples is 200. The total demand for apples in Santa Cruz is given by P = 1400 – Q, and the firms compete in quantities, i.e., Cournot competition. Let q1 and q2 denote the production of apples by the two firms, and Q = q1 +...
Mathematical Question 2 (20pts) 2. Consider a Cournot competition model with two firms, 1 and 2. They produce identical goods in the same market with demand function P= 100-5Q with Q=91 +92- Furthermore, their production process generates pollution to the environment, which increases their cost of production. Their cost functions are given by C191,92) = 1091- +5Q and C291,92) = 15922 +45Q. a. (10pts) Calculate their equilibrium quantities, price, and profits for both firms. b. (5pts) Consider they collude and...
1. (25 points) Consider two firms, 1 and 2, producing an identical good simul taneously. This good has market demand given by the demand function y (12 p)/3, where p is price, and y yi y2 is market quantity. yi represents the amount produced by firm i. Suppose production cost is 2yi1 for each firms (a) Solve algebraically for these firms' reaction functions, expressing each firm's optimal output level given the level of its competitor's out- put.(5 pts) (b) Graph...