Answer
the long-run equilibrium price is equal to the minimum average total cost and the average total cost quantity is found by the first differentiation of ATC equating to zero.

the price is $3.16
Consider a firm in a market that is in a long-run, perfectly competitive equilibrium. If the...
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)...
The perfectly competitive firm and market in the short run Consider a perfectly competitive market where demand is QD = 2,000 - 40P and quantity is measured in units while price is measured in dollars per unit. The long run supply is QS = 100P - 800. a) Find the equilibrium price and the equilibrium quantity. b) When the market is in equilibrium, what is the total expenditure in this market? c) When the market is in equilibrium, what is...
cardboard boxes are produced in a perfectly
competitive market. each identical firm has a short run total cost
curve of TC= 3Q^3 - 12Q^2 +16Q + 100, where Q is measured in
thousands of boxes per week. calculate the output for the price
below which a firm in the market will not produce any output in the
short run. ( i.e., the output for the shut down price)
a 2^1/2
b. 2
c. 1/2
d. 1/square root of 2
2)...
Consider a competitive firm with costs of C(q) = 64 + 4q2, where q is output. If price is $40 a) what is the quantity the firm will supply? is this market in its long-run equilibrium? b) provided that q > 0. What is the price and the quantity sold by the firm in the long-run equilibrium?
A firm in a perfectly competitive market has a short-run total cost curve of ST C(Q) = 20 + 10Q + Q2. The market price is $10. a) What is the profit-maximizing quantity? b) What are the maximum profits? c) Find the short-run supply curve if all fixed costs are sunk. d) Find the short-run supply curve if all fixed costs are non-sunk. e) Suppose there are 100 identical firms in this market. What is the market supply curve if...
Short-run Equilibrium: Bumper sticker firms produce bumper stickers in a perfectly competitive market. Each identical firm has a short-run total cost function equal to: STC (Q) = 3 + 2q + 2Q2. Suppose that there are 100 firms, and the market demand is D(P) = 100 - 5P where D(P) is the quantity consumed in the market when the market price is P. 1. What is the short-run equilibrium price? 2. How much does each firm produce? 3. Are they...
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...
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....
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
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...