(a) All firms in a perfectly competitive industry face the same
long-run average cost
curve, AC = 0.05q – 5 + 500/q, and the same long-run marginal cost
curve given by
MC = 0.1q – 5. The market demand for the product of these firms is
QD = 100,000 –
10,000P.
i.Calculate the equilibrium price and quantity.
ii.Assuming the market is in long-run equilibrium, how many firms
will be on the
market?
(b) Suppose the demand for cotton T-shirts is given by QD
=1900–200P, where Q is the
number of T-shirts and P is the price in dollars per T-shirt. The
long-run supply curve for
T-shirts is given by QS = 50P–100. Calculate consumer and producers
surplus at
equilibrium price and quantity.
(a) All firms in a perfectly competitive industry face the same long-run average cost curve, AC...
Answer just part b ) All firms in a perfectly competitive industry face the same long-run average cost curve, AC = 0.05q – 5 + 500/q, and the same long-run marginal cost curve given by MC = 0.1q – 5. The market demand for the product of these firms is QD = 100,000 – 10,000P. i. Calculate the equilibrium price and quantity. ii. Assuming the market is in long-run equilibrium, how many firms will be on the market? (b) Suppose...
For a constant cost industry in which all firms the same cost functions, their long-run average cost is minimized at $10 per unit output and 20 units (i.e. q = 20). Market demand is given by QD=DP=1,500-50P. Find the long-run market supply function Find the long-run equilibrium price (P*), market quantity (Q*), firm output (q*), number of firms (n), and each firm’s profit. The short-run total cost function associated with each firm’s long-run costs is SCq=0.5q2-10q+200. Calculate the short-run average...
All firms in a competitive industry have the following long-run total cost curve: where q is the output of the firm. a. Compute the long run equilibrium price and explain how you obtain the result [20 marks] b. Suppose the market demand is given byp 10- Q. Determine the long-run equilibrium number of firms in the industry c. Suppose that the same market is instead served by a monopolist who shares the same technology described by the long-run total cost...
Assume each firms long-run average cost are given by AC=10+0.002Q where Q is market output, so long-run costs are increasing in market output. Market demand is given by QD=DP=1,050-50P What is the long-run equilibrium price and market quantity? If market demand increases to QD=DP=1,600-50P find the new long-run equilibrium price and market quantity. Graph these equilibrium outcomes and calculate the change in producer surplus between (a) and (b) If a tax of $5.50 per unit output is introduced find the...
Suppose each firm's long run average cost curve, for positive levels of output, is given by AC = 0.1 + 0.05Q + 5/Q. The marginal cost curve is given by MC = 0.1 + 0.1Q. (a) Find the minimum efficient scale for the above cost function. (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P = 13.1-0.04Q. What is the market quantity? How many firms...
1. (18pts) Suppose there are 100 firms in a perfectly competitive industry. Short run marginal costs for each firm are given by SMC = q + 2 and market demand is given by Qd = 1000-20P (5pts) Calculate the short run equilibrium price and quantity for each firm.. b. (3pts) Suppose each firm has a U-shaped, long-run average cost curve that reaches a minimum of $10. Calculate the long run equilibrium price and the total industry output.. (4pts) What is...
1. For a perfectly competitive firm, long-run average cost is: LAC = 300 - 20Q + 1.8Q2, where Q denotes the firm’s output. The firm’s long-run profit-maximizing price is _____. 2. Demand for a good is given by: QD = 50 – 2P and supply by QS = 1P – 10, where P is the market price of the good. In equilibrium, price would be ___. 3. Demand for a good is given by: QD = 50 – 2P and...
Suppose that a particular firm is in a perfectly competitive constant-cost industry. When it is using the optimal amount of capital for the long-run, total cost is C(q)=1000+(q2/10), ATC(q)=(1000/q)+q/10, and marginal cost is MC(q)=2q/10. This implies that ATC=MC at a quantity of 100 and a per unit cost of $20. 1. At what quantity is average total cost minimized? 2. What is the long-run competitive equilibrium price? 3. If market demand is QD=12,000-200P and short-run market supply is QS=300P, what...
1. All (identical) firms in a competitive industry have the following long-run total cost curve: C(q) = q3 – 10q2 + 369 where q is the output of the firm. a. Compute the long run equilibrium price. What does the long-run supply curve look like? b. Suppose the market demand is given by Q=111 - p. Determine the long-run equilibrium number of firms in the industry.
4) Suppose each firm's long run average cost curve, for positive levels of output, is given by AC 0.10.05Q+5/Q. The marginal cost curve is given by MC 0.+0.1Q. (a) Find the minimum efficient scale for the above cost function (b) What is the firm's minimum average cost? (c) Suppose you have many identical firms in a long run competitive equilibrium. Demand is P 13.1-0.040. What is the market quantity? How many firms are there? (d) Suppose demand increases to P...