The inverse demand for a homogenerous-product STakelberg duopoly is P=18,000-5Q. The cost structures for the leader and the follower, respectively, are CL(QL=2,000QLand CF(QF)=4000Qf. What is the follower's reaction function? Determine equilibrium output level for both leader and follower. Determine the equilibrium market price. Determin the profits of the leader and the follower.

**Practice** Consider a market with three firms. Each firm has a different cost function. We assume C1(q1) = 7q1, C2(q2) = q2 + 1, and C3(q3) = 3q3.

Please show indepth working out.

In the mobile phone market, Samsung and Apple constitute a duopoly in the production of devices.The American firm has the following demand q(a) = 10 - p(a )+ 0.25p(s), and the Korean firm, q(s) = 20 -p(s)+ 0.5p(a). Because both firms assembly their devices in China, their cost structure is the same andequal to ?(q) = 10q, answer the following questions.a) What would be the equilibrium (quantity, price, and profit) in this market, and interpret youranswer.b) If they decide to form a cartel, what are the new quantities, prices, and profits? NB.a=apple and s=Samsung

An industry has a demand function of QP(p) = 500 – 250p. Suppose now that each firm has a constant marginal cost equal to 1. a. If there are n identical firms, what would be the profit of each under Cournot competition? 5. What would be the profit of each if they collude? c. If the firms face that demand function each period, what discount factor is required to support collusion? d. What happens to the required discount factor as n grows?

Economics: Industrial Economics Question: In a market that operates under quantity competition there are 2 firms (Cournot duopoly). The inverse demand function is P = A - B Q. The cost structure of firm 1 is given by C1(q1) = F1 + c1 q1 and that of firm 2 is given by C2(q2) = F2 + c2 q2. Prior to competing, the two firms can engage in research at levels (x1, x2) respectively in order to lower their marginal costs. As a result, marginal costs are c1 = c - x1 - β2x2 and c2= C - x2 - β1 X1. where β1 = β2 > ½. Finally, the research costs are F1 = a1 (x1)^2 /2 and F2 = a2 (x2)^2 /2, where a1 > 0 and a2> 0.   1. The Nash Equilibrium research levels are Choices: A. Higher than the cooperative research levels for both firms. B. Higher than cooperative research levels for firm 1 but lower for... C. Lower than the cooperative research levels for both firms. D. Higher than cooperative research levels for firm 2 but lower for...   2. An increase in the value of a2 would Choices: A.…

Consider a Bertrand duopoly where market demand is P(Q)=5-9Q. Each firm faces a marginal cost $2 and no fixed cost. How much is the dead weight loss in a Nash equilibrium?

Consider the Bertrand model and answer the question below related to the content. Assume that each firm in the Bertrand Duopoly model can only choose non-negative integer quantities: 0, 1, 2, ... . Assume the demand is Q(P)=10-P and the marginal cost is 0 for each firm. Given this information, which of the following is FALSE? [Hint: Check values of profit functions.]   A. If firm 2 sets price equal to 1, then the best response of firm 1 to this price is 1   B. If firm 2 sets price equal to 4, then the best response of firm 1 to this price is 4   C. If firm 2 sets price equal to 2, then the best response of firm 1 to this price is 1

Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given byT Ci = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?(c) Find the Nash equilibrium quantities (Q∗1, Q∗2)?(d) What is the equilibrium price? Just help with c and d here please

Answering all questions compulsory....