uppose that the current price per unit of the good is 10 pounds. A perfectly ompetitive firm faces the cost function, C = 100 + (1/5)Q², with marginal cost, MC qual to (2/5)Q, where Q denotes the quantity produced. Find the profit-maximizing utput for this firm in the short-run. Calculate profits. At the profit-maximizing

uppose that the current price per unit of the good is 10 pounds. A perfectly ompetitive firm faces the cost function, C = 100 + (1/5)Q², with marginal cost, MC qual to (2/5)Q, where Q denotes the quantity produced. Find the profit-maximizing utput for this firm in the short-run. Calculate profits. At the profit-maximizing

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter8: Perefect Competition

Section: Chapter Questions

Problem 17SQ

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Suppose that the current price per unit of the good is 10 pounds. A perfectly competitive firm faces the cost function, C = 100 + (1/5)Q2, with marginal cost, MC, equal to (2/5)Q, where Q denotes the quantity produced. Find the profit-maximizing output for this firm in the short-run. Calculate profits. At the profit-maximizing output, is the firm covering its variable costs?
Define Q to be the level of output produced and sold, and assume that the firm’s total cost function is TC = 4*Q1.5. The demand for the output has been estimated to be Q = 100*P-1.25. Total revenue is TR = P*Q. Find the profit-maximizing price.
A firm faces a demand function (where q=quantity demanded and p=price): q = 200 – 2p and a total cost (TC) function (where q=output): TC = 1/2 q^2+20q+375 Find break-even point when TR=TC
The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=341+q^2 and Marginal Cost curve MC=2q. Market demand is Q=627-2P. If the market price is $84, what is the short-run profit maximizing quantity for each firm?
The wood-pallet market contains many identical firms, each with the short-run total cost function STC(Q) = 400 + 5Q + Q2, where Q is the firm’s annual output (and all of the firm’s $400 fixed cost is sunk). The corresponding marginal cost function is SMC(Q) = 5 + 2Q. The market demand curve for this industry is D(P) = 262.5 − P/2, where P is the market price. Each firm in the industry is currently earning zero economic profit. How many firms are in this industry, and what is the market equilibrium price?
A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2. Thus, the marginal costs are MC(Q) = 14 + 4Q. How much output should the firm produce in the short run?
Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q^2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q^s = 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., Q^s = f(p)? If demand is given by Q^D = 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.]
. Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q S = 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., Q S = f(p)? If demand is given by Q D = 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.]
A firm’s marginal cost is MC(q)=10+6q. For which prices does the firm shut down? Find a formula for the quantity supplied q in terms of the market price, p.
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