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Suppose that the cost function of a firm is C(q) = 10 + 3q + 0.1q 2 and that it operates under perfect competition.
(a) If p = 4, find the optimal quantity, the costs, the revenue and the profits.
(b) Find the price at which the firm makes zero profits, that is, the price at which the average total cost is at a minimum.
(c) Find the price at which the firm shut-downs, that is the price at which the average variable cost is at a minimum.
(d) Suppose now that price is p. Graph all cost curves in a diagram, and in this diagram, show the supply curve of the firm given price p. Find the analytical expression for the supply function.
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Show how the answer depends on the shape as well as location of the supply as well as demand curves.
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what value would you predict for S? b. What happens if P is reduced to $17,1500? c. How would you go about developing a value for k? d. What are the potential weaknesses of this model?
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How do your previous answers change in the special case where cash demand does not depend on the expected rate of inflation
Suppose Merck is developing new drugs that have positive externalities; the positive externality is a pharmaceutical technology we all benefit from. Let the supply curve for Merck’s production be P =Q/4, where Q is the number of units of drugs they’v..
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