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In an industry with two firms, represent the outputs for these single product firms as q1 and q2 . The two firms decide to form a cartel and set their levels of output to maximise total profits for the industry. Consider the situation where the industry inverse demand function curve which the two firms face is:
P = 25-2q
where q is the total output or sales of the two firms. Next, suppose that these firms have different cost structures. In particular, the total cost functions for firm 1 and firm 2, respectively, are
C1=q1
C2 = 0.25q22
Determine the price charged by the profit-maximizing cartel, the amount of industry profit earned, and the output and profit share for each firm. Ensure you have found a maximum by deriving the second-order sufficient conditions.
Suppose that in an economy 100 worker-hours produce 160 units of output in year 1. In years 2 and 3 worker hours are 120 and 130 and units of output are 216 and 260, respectively.
what are the uses of cross elasticity quantity in demand/
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9. The average supernormal profit for the firm is
1
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