22. Suppose that each firm has the long run cost function c(y) = y2 + 9 for y > 0 and c(0) = 0. The industry demand is given by D(p) = 51 - p. The equilibrium price in the long-run equilibrium of the industry in a perfectly competitive market is:
a. $8 b. $3 c. $5 d. $4 e. $6
22. Suppose that each firm has the long run cost function c(y) = y2 + 9...
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
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....
Suppose a firm in a perfectly competitive market has the cost function c(y)=y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. If the demand stays at this new level, what will the long-run quantity be for each firm?
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...
Suppose in a competitive market, the long-run cost function of a firm is ?(?) = 0.66874?5⁄4 + 1,280 where x is the output. (a) What is the minimum long-run average cost? At what output level is this attained? (b) Suppose all firms are identical, what is the long-run profit of each firm in the competitive market? What is the long-run equilibrium price? (c) Suppose there are 64,000 consumers each with demand function xd(p) = 625/p2 How many firms exist in...
A representative firm in a perfectly competitive, constant cost industry has a cost function T C = 100+4Q 2+ 100Q. (a) What are this firm fixed cost, variable cost and marginal cost? (b) What is the long-run equilibrium price for this industry? (c) If the market demand is Q = 1000 − P , how many firms will operate in this long-run equilibrium? (d) What is the most that this firm would be willing to pay for the exclusive right...
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...
Each firm in a perfectly competitive market has long run average cost represented as AC(q) = 100q- 10+100/q. Long run marginal cost is MC=200q-10. The market demand is Qd = 2150-5P. Find the long run equilibrium output per firm, q*, the long run equilibrium price, P*, and the number of firms in the industry, n*. P = 190; Q = 1200; q =1 , n = 1200
Suppose a firm in a perfectly competitive market has the cost function c(y)= y2 + 2y +4 Now suppose that there is a sudden increase in demand that raises the market price to p= 8. How much does the firm produce at this price?