2) An industry consists of three firms with identical total cost functions C(q) = 20q+q². Market demand is Q(P) = 140 - P. a) Find the Cournot-Nash equilibrium quantity, price and profits for this industry. b) Suppose a monopolist controlled the three firms. What would its cost function be? c) What would be this monopolist's quantity, price and profits?
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Given that,
Three firms with identical total cost function: ?(?) = 20?+?²,
Market demand: ?(?) = 140−?
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- (b) Consider two firms, 1 and 2 , operating in a monopolistic competitive market. The cost functions of the firms are: TC_(1)=20+20 Q and TC_(2)=80+80Q, respectively. Would it be rational for both firms to compete in the world market, given the market demand curve of Q=100-P, and they have to bear a trade cost of $30 per unit? Explain with the help of a diagram. please give answer with compleete steps and diagram.Question 8 Firm D is a monopolist that faces a market with inverse demand given by: P = 120-4Q Where Q is Firm D's output level. Firm D's total cost function is given by: TC(Q) = 11Q +42 Assuming that Firm D can perfectly (1st degree) price discriminate, what is Firm D's profit maximizing output level, Q*? (Hint: Because Firm D can perfectly price discriminate, its Marginal Revenue function is equivalent to inverse demand).There are two firms. Firm 1 (or, a small firm) produces a single product, product A, at zero cost. Firm 2 (or, a big firm) is a multi-product firm that sells both products A and B. Firm 2 is less efficient in producing A. It incurs a constant marginal cost c > 0 for producing A. However, firm 2 is a monopolist of the market of product B and its cost of producing productB is zero. A unit mass (i.e. a total measure of 1) of consumers all have the same preference which is known to producers, and view the two products as independent. To consumers, the value of product A is vA > c while the value of product B is vB > 0. If a consumer buys both products, the gross payoff is vA + vB . (Note that, unlike in the lecture slides where consumers are heterogenous and their values are distributed in [0, 1], here the setting is simpler and all consumers are homogenous and have the same vA and vB) Firms compete in prices and set their prices simultaneously and independently. We assume…
- The inverse demand function in an industry with two firms is given as p = 50 – 2y, where y is the industry demand and p is the price. The firms have different technologies at their production plants with costs given as c(y1) = 10y, and c2[y2) = 14y2, where y = y,+ y2. 1. If the firms merge into one firm and become a monopoly in the industry, what will be the output of the merged firm? Comment on what would happen to the production plants under one ownership. Find the equilibrium price and profit. 2. Compare and comment on the total industry profits in these three market structures. 3. Assuming the firms are Bertrand duopolists, what is likely to happen? Explain verbally (no need to solve the problem).BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market. Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. PRICE (Dollars per can) 4.00 3.50 3.00 2.50 2.00 1.50 1.00 0.50 0 MC 0 0.5 1.5 ATC MR D 1.0 2.0 2.5 3.0 QUANTITY (Thousands of cans of beer) 3.5 4.0 Monopoly Outcome Profit LossThe demand function in a duopoly market is P(Q) = 300-0.3Q, where P is the price and Q is the total quantity demanded. Both companies have the same constant marginal cost, What is the deadweight loss if both companies maximize their profits and they are not allowed to cooperate? (MR is not MC since its not monopoly)