3. Demand for a good produced by a duopoly is given by P = 100 - Q. Both firms have constant marginal costs, MC = 20 and zero ixed costs. Firms can choose to maximize profit or revenue. Suppose firm 1 choose to maximise profit and firm 2 choose to maximise evenue. Determine the equilibrium price and quantity of each firm.

The graph below shows the demand curve for a perfectly competitive firm. Suppose that firms in this industry discover a way to differentiate their products. Using the line drawing tool, show how the firm's demand curve would be likely to change. Label the new demand curve 'd,'. Carefully follow the instructions above, and only draw the required objects. Since the demand curve is downward sloping, the monopolistically competitive firm will set a price OA. that is less than marginal cost. B. that is unrelated to marginal cost. OC. that is equal to marginal cost. D. that is greater than marginal cost. Price 10- Q Q Output 10

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Consider the following Stackelberg duopoly. Both firms produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied by firm 1. The market demand is Q= 100 – 4 P. For firm i, the total cost of production is TC(q) =5q,+2. What is the optimal quantity supplied by firm 12 10 20 30 40 QUESTION 6 Consider the following Stackelberg duopoly. Both produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied from firm 1. The market demand is Q= 100 - 4P. For firm i, the total cost of production is TC(q) =5q,+2. What is the market clearing price? O 10 O 15 20 O 25

Please no written by hand solution Considerthe following problem. There are five firms producing a homogenous good and competing in quantities simultaneously. The demand function for this good is given by D(p) = 100−p, where p denotes price. The marginal cost is the same for all firms and equals 40 Answer the following questions.   (a) Compute the equilibrium quantities and profits of each firm.   (b) Now suppose that two of these firms (say firms 1 and 2) want to merge. (The remaining firms stay unchanged.) Merging, however, is costly. To merge, each merging firm has to pay a fixed cost F. Determine the highest fixed cost F that the two firms would be willing to pay in order to proceed with the merger.

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4. Duopoly quantity-setting firms face the market demand p = 150 – q1 – 42. Each firm has a marginal cost of $60 per unit a) What is the NE? b) What is the Stackelberg equilibrium when Firm 1 moves first?

Suppose a country's mobile phone industry is supplied by only two firms (i.e. an oligopoly). Explain how the presence of two firms affects the price elasticity of demand of each firm's output.

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12. Consider a duopoly market. Two firms are selling identical products and all costs are assumed to be zero for simplicity. Market demand schedule is given in the following table. Note that firms always choose an integer value for the quantity of production. Quantity Price Total Profit 3 $12 4 11 5 8 6 6. 7 4 8 2 1 10 a. Fill in the column of total profit.