1. The cost function for any potential firm in a manufacturing industry is C(y) = 2 + 8y + 2y? (if a firm exits the industry, then its cost is zero). The inverse market demand function is given by P(y) = 100 – 2y. (a) If there is only one firm in the industry (the firm is a monopolist), what is the optimal output and the markup of the firm in equilibrium?
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- Glyde Air Fresheners is the dominant firm in the solid room aromatizer industry, which has a total market demand given by Q = 80 - 2P. Glyde has competition from a fringe of four small firms that produce where their individual marginal cost equals the market price. The fringe firms each have a total cost given by: TCi = 10Qi + 2Qi2. If Glyde’s total costs are given by TCG = 100 + 6QG a) what price should Glyde establish for air fresheners? b) what is Glyde’s maximum profit?(a) Firms A and B are Cournot duopolists producing a homogeneous good. The inverse market demand is given by P= 100 Q, where P is the market price and Q is the total quantity demanded. Each firm has marginal cost equal to 40 and there are no fixed costs. Calculate the total industry output in this market. Derive also (i) the market price, the total profit of the two firms and the consumer surplus. (ii) monopoly. Calculate the total industry output after the merger. Derive also the market price, profit and consumer surplus after the merger. Explain intuitively any changes in these variables if the merger occurs. Suppose the two firms propose to merge to become aA firm has three factories for which costs are given by: C (Q1) = 10Q, C2 (Q2) = 40Q, C (Qs) = 80Q; The firm faces the following demand curve: P= 2,000 - 20 where Q is total output, i.e. Q - Q + Q, + Q3 What would be the Lerner index of monopoly power for this monopolist?[Please choose the closest-answer O 0.175 O 0.245 O 0.137 0.108 0.142 0.121 O 0.215 Nest
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