Name Each producer in this perfectly competitive industry has a long-run MC function of: MC-40-120+ and...
Propylene is used to make plastic. The propylene industry is perfectly competitive and each producer has a long run total cost function given by LTC = 1 /3 Q3- 6Q2 + 40Q Where Q denotes the output of the individual firm. The market demand for propylene is X = 2200 – 100P Where X and P denote the market output and price respectively. (a) Calculate the optimal output produced by each firm at the long run competitive equilibrium (LRCE). (b)...
Long Run Equilibrium 4. Suppose each firm in a perfectly competitive industry has the same long run total cost function T C(q) = 16+q^2 . The market demand curve is QD = 100−P. (a) What 3 equations define a Long Run Perfectly Competitive Equilibrium? (b) How much quantity q ∗ does each firm produce in Long Run Perfectly Competitive Equilibrium? (c) What is the market price P ∗ in this equilibrium? (d) Find the market quantity Q∗ . ( e)...
i) The long run cost function for each firm in a perfectly competitive market is c(q) = 2^1.5+16q^0.5, LMC = 1.59^0.5+ 8q^-0.5, market demand curve is Q=1600-2p. Find price (p) of output and the level of output (q) produced by the firm in a long run equilibrium. Find the long run average cost curve for the firm. ii) what happens in the long run if the market demand curve shifts to Q=160-20p?/ -A competitive industry is in long run equilibrium....
1. Each firm in a perfectly competitive industry has the long-run total cost function c(y) = 3y - (y^2/3) + (y^3/27) Demand is given by the inverse demand curve p = 15 - (Qd/600). Calculate, for the long-run equilibrium, a. The price b.The market quantity c. The number of firms d. The profit for each firm
8. Short-run supply and long-run equilibrium Consider the perfectly 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. ATC COSTS (Dollars per pound) AVC MC D 0 Ft 0 3 6 9 12 15 18 21 24 27 QUANTITY OF OUTPUT (Thousands of pounds) 30 The...
Consider a perfectly competitive industry in which each firm i has a total cost function given by the equation: TC= 128 + 4q+2q^2. Further assume that the industry demand function is given by the following: P = 84 – 2Q. a) Describe the long run market equilibrium. That is, identify the equilibrium price and quantity, output for each firm, the number of firms in the industry and the level of producer and consumer surplus. What is the value of own...
There are 100 firms in a perfectly competitive industry. Each firm has the short-run supply curve q = P−2 for P > 2, and q = 0 for P≤2. The market supply curve for this industry is Q =100P − 200 for P > 2 and Q = 0 for P ≤ 2. If the market price is $8, the firms in the industry will supply a total of 600 units. Total producer surplus is $____________________ (enter as integer)
5. Short-run supply and long-run equilibrium Consider the perfectly competitive market for steel. 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. COSTS (Dollars per ton) + MC D AVC 0 10 90 100 20 30 40 50 60 70 80 QUANTITY (Thousands of tons) The following diagram shows the...
Consider a perfectly competitive market with many identical firms. Each firm has a long-run marginal cost function given by LRMC(y) = y ^2 + 1. We do not know the firms’ LRAT C function, but we know that at a quantity of 3 it is equal to LRMC. In other words: LRAT C(3) = LRMC(3). (a) Find an expression for an individual firm’s long-run inverse supply curve: this will be p as a function of y. Note that it will...
2. (1.5 p) Consider perfectly competitive industry with identical firms. The long run average cots function of a typical firm is given by AC(q)- 24 - 49 + q. Market demand is given by c p)=100-2p. (a) Find the long run supply curve of the typical firm. (b) Find the number of firms in the industry in the long run equilibrium.