5. (20 points) Consider there are four homogeneous firms with cost function C(a) = are considering...
3. A market consists of 100 identical firms and the market demand curve is given by D(P) = 60 - P. Each firm has a short-run total cost curve STC(q)-0.1+150q2. What is the short-run equilibrium price and quantity in this market? 4. The short-run marginal cost curves of two types of firms in an industry are given as MC1 = 3q and MC2 = 5q respectively. There are 100 firms of each type. If these firms behave competitively, determine the...
Consider firms facing the demand curve P=90-5Q 17 where Q- Q1 +Q2 The firms' cost functions are Cl (Q1) = 15 + 5Q1 12 and (2)-+1002 Suppose that both firms have entered the industry. What is the joint profit-maximizing level of output? How much will each firm produce? Combined, the firms will produce units of output, of which Firm 1 will produceunits and Firm 2 will produce units. (Enter a numeric response using a real number rounded to two decimal...
An industry consists of two Cournot firms selling a homogeneous product with a market demand curve given by P=100-Q1-Q2. Each firm has a marginal cost of $10 per unit. (a) Find the Cournot equilibrium quantities and prices. (b) What is the Bertrand equilibrium price in this market? (c) Find the quantities and price that would prevail if the firms acted as if they were a monopolist (I.e. find the collusive outcome) and then find the equilibrium price and quantity that...
Question 2 (20 marks) Consider the market for gasoline, which is perfectly competitive. Each firm in the industry produces gasoline with the same technology and has cost function: c(a) 200+5q+1/2xq. bach consumer has demand for gasoline given by g (p) 10-0.1p where p is the price of gasoline. All consumers have identical demand functions (a) Find the short-run supply curve for a typical firm. (5 marks) (b) Suppose there are 10 firms in the market. Find the short-run aggregate supply...
Consider a market where N firms produce a homogeneous product and compete by simultaneously setting quantities. The inverse demand function has the general form P PO-P(qi +q2 +q3 + + qv), where Q is total quantity produced, qi is the quantity produced by firm i and P is the market price. The demand curve is downward sloping, so P10 < 0. The total cost of firm i is given by Cig). (0) Show that P- MC qi i , where...
The market for widgets consists of two firms that produce identical products. Competition in the market is such that each of the firms independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two firms. Firm 2 is known to have a cost advantage over firm 1. A recent study found that the (inverse) market demand curve faced by the two firms...
Consider a perfectly competitive market comprised of identical firms each facing the following cost function: C(q) = 4 +q? where q is the firm-specific level of production of the representative firm. The market demand function is Q(p) = 400 - 4p where Q(p) is the aggregate demand in the market (expressed as function of price) and p is the price a) Derive the firm-specific supply function of the representative firm as a function of price b) Assume there are N...
6. Short-run supply and long-run equilibrium Consider the competitive market for copper. Assume that, regardless of how many firms are in the industry, every firm in the Industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for copper. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 20 firms in the market. (Hint:...
PLEASE HELP ON GRAPH AND LAST QUESTION ONLY Consider two firms facing the demand curve P-90-5Q, 17 where Q Q1+Q2. The firms' cost functions are C(Q1) 10+501 and C2 (Q2)" 5 + 10Q2 Suppose that both firms have entered the industry. What is the joint profit-maximizing level of output? How much will each firm produce? Combined, the firms will produce 8.5 units of output, of which Firm 1 will produce 8.5 units and Firm 2 will produce 8 9 10...
7. Short-run supply and long-run equilibrium Consider the competitive market for copper. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for copper. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 20 firms in the market. (Hint:...