Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + 1/2Q^2 and therefore MC = q. (c) Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the fiirm's supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., qS = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., QS = f(p)? If demand is given by QD = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]

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Suppose a firm operating in a perfectly competitive industry has costs in the short run given by:
SRTC = 8+ 1/2Q^2 and therefore MC = q.
%3!
(c) Assuming that the firm is a price-taker operating in a competitive market, derive an expression for
the fiirm's supply curve, (the profit maximizing output for the firm as a function of the market price, i.e.,
qS = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply
curve for the industry, i.e., QS = f(p)? If demand is given by QD = 1000 – 100p, what are the short-run
equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm
profit in the equilibrium.]
(d) If the minimum point of the short-run ATC curve for all firms(existing and potential)is also the
minimum point of the long-run average cost curve (LRAC), calculate the long-run equilibrium price,
market quantity, and firm quantity. What is the long-run equilibrium number of firms in the industry?
Transcribed Image Text:Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8+ 1/2Q^2 and therefore MC = q. %3! (c) Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the fiirm's supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., qS = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., QS = f(p)? If demand is given by QD = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.] (d) If the minimum point of the short-run ATC curve for all firms(existing and potential)is also the minimum point of the long-run average cost curve (LRAC), calculate the long-run equilibrium price, market quantity, and firm quantity. What is the long-run equilibrium number of firms in the industry?
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