6. Suppose all firms in a given industry have the same supply curve given by S(p)...
6. Industry demand is given by: QD = 1000 - P All firms in the industry have identical and constant marginal and average costs of $50 per unit. If the industry is perfectly competitive, what will industry output be? What will be the equilibrium price? What profit will each firm earn? Now suppose that there are five firms in the industry, and that they collude to set price. What price will they set? What will be the output of each...
Suppose there is a perfectly competitive industry where all the firms are identical with identical cost curves. Furthermore, suppose that a representative firm’s total cost is given by the equation TC = 100 + q2 + q where q is the quantity of output produced by the firm. You also know that the market demand for this product is given by the equation P = 900 - 2Q where Q is the market quantity. In addition, you are told that...
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.
9. The long-run supply curve of a perfectly competitive firm is given by a horizontal line placed at P = 3 PLN (in a graph where the quantity and price are measured on the X and Y axes, respectively). The market demand is described by QD = 150-5P. a. What is the amount of output produced by the whole industry in the long-run equilibrium? b. Assuming that firms are identical and obtain the minimum average cost for the quantity of...
Consider a competitive industry with a large number of firms, all of which have the cost function c(y) = y 2 + 1 for y > 0 and c(0) = 0. Note that the marginal cost for this cost function is MC = 2y for y > 0. Suppose that initially the demand curve for this industry is given by D(p) = 84 − p. Note that the output of a firm does not have to be an integer number,...
Suppose the inverse industry supply curve is given as = 5 + (10/n)q where n is the number of firms that are in the industry and q is industry output. Suppose the inverse industry demand is given as p = 20 − q. (i) Draw the inverse industry supply curve when there are n=1,2,3,4,5 on the same diagram. Also draw the inverse industry demand on the same diagram. (ii) Determine the equilibrium industry price and total industry quantity supplied when...
Exercise 1. Short-Run Industry Supply Curve In a perfectly competitive market there are n firms with identical technology: yi=Li½Ki½. Each firm’s cost function is Ci=wLi+rKi where w=r=1. a) In the short run all firms have a fixed level of Ki=100, so that yi=10Li½ and Ci=Li+100. What is the cost function Ci(yi)? What is the short-run average cost function ACi(yi)? b) What is each firm’s marginal cost function MCi(yi)? What is each firm’s short-run supply function si(p)? Find the inverse of...
1. Suppose firms in a perfectly competitive, constant cost (i.e., flat LR supply curve), industry face monthly demand given by Qp = 1000 - P and have access to a production technology that yields a cost function TC(Q:) = 40? + 100Qi + 100 where Q denotes units produced per month. Assume the only difference between short-run and long-run costs is T C(0) = 100 in the short run and TC(O) = 0 in the long run (which is consistent...
(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...
5. In a competitive industry, all companies have identical long-run total cost curves given by LTC(q) = q + 36. The demand in this industry is described by D(p) = 2004 - 2p. a. What is the long-run supply function of an individual company in this industry? b. How many companies will operate in this industry in the long-run equilibrium?