Question

In: Economics

Consider a market where each operating firm has the cost function c(y) = 2y2 + 1....

Consider a market where each operating firm has the cost function c(y) = 2y2 + 1. The firms in this market face the industry demand function given by y = 204 − p. What is the industry supply function if there are n firms in this market? What is the equilibrium price in the long run for this market? Assuming free entry and exit of firms, how many firms will operate in this market in the long run and how much will each firm produce?

Solutions

Expert Solution


Related Solutions

3. A firm in a perfectly competitive market has the following cost function: c(y) = 4y2...
3. A firm in a perfectly competitive market has the following cost function: c(y) = 4y2 + 450. a. If the market price of their product is $200, how many units should they produce, and what will their profits be? Should they shut down or exit the market? (2 points) b. If the market price falls to $50, how many units should they produce, and what will their profits be? Should they shut down or exit the market? (3 points)...
In a Stackelberg duopoly, each firm has the total cost function C=40qi, where qi is the...
In a Stackelberg duopoly, each firm has the total cost function C=40qi, where qi is the quantity supplied by an individual firm (i=1,2). The total market demand is given by Q = 100 - 0.5p. Firm 1 is the leader and Firm 2 is the follower. What is the Nash-Stackelberg output level for each? What is the Nash-Stackelberg market price and quantity? What is each firm's profit?
consider a monopoly firm whose cost function is given as c(y)=y. if a monopolist faces a...
consider a monopoly firm whose cost function is given as c(y)=y. if a monopolist faces a demand curve given by D(p)= 100-2p, what is its optimal level of output and price? calculate the deadweight loss associated with monopoly restriction of output. if the demand curve facing the monopolist has a constant elasticity of -2, what will be the monopolist's markup on marginal cost?
A monopoly has the cost function c(y) = y^2 + 2500 and is facing a market...
A monopoly has the cost function c(y) = y^2 + 2500 and is facing a market demand D( R) = 300-2p. a) What is the inverse demand function p(y)? Having profits be π = p(y) * y - c(y), what is the profit maximising output level? What is the corresponding market price? b) Calculate the monopolist's profit and producer surplus. What is the consumer surplus? What is the deadweight loss? c) Ideally, what is the price and quantity that would...
Consider you are a Chief Manager of a firm that is operating in a market where...
Consider you are a Chief Manager of a firm that is operating in a market where any firm can enter or exit without any barrier. At present, your competitors are in crises and your firm too is facing losses. But you firmly decided to remain in the market and not to shut-down your business. Explain the what economic rule constitute for your decision ‘not to shut-down’. Also explain how you would overcome the short-run losses in long-run, and what kinds...
1. Consider the cost function, C = 2q^2(wr)^1/2. Suppose the firm with this cost function is...
1. Consider the cost function, C = 2q^2(wr)^1/2. Suppose the firm with this cost function is perfectly competitive in its output market and faces an output price, p. A. Find the marginal cost function for output. B. Find the average cost function. Show your work. C. Is this a long-run or short-run cost function? Explain. D. Derive the cost elasticity with respect to output. Show your formula and all calculations. What does this value of cost elasticity tell you about...
A competitive firm has a single factory with the cost function c(y) = 4y2+ 89 and...
A competitive firm has a single factory with the cost function c(y) = 4y2+ 89 and produces 28 units in order to maximize profits. Although the price of output does not change, the firm decides to build a second factory with the cost function c(y) = 8y2+ 39. To maximize its profits, how many units should it produce in the second factory?
Initially there is one firm in the market for widgets. The firm has cost function C(Q)=3Q...
Initially there is one firm in the market for widgets. The firm has cost function C(Q)=3Q and marginal cost function MC(Q)=3. Market demand is given by P(Q)=20-3Q. What price will the firm charge? What quantity will it sell? Now a second firm enters the market. This firm has an identical cost function to the incumbent firm. What is the Stackelberg equilibrium output for each firm if firm 2 chooses its quantity second? What are the profits earned by each firm...
Initially there is one firm in the market for widgets. The firm has cost function C(Q)=3Q...
Initially there is one firm in the market for widgets. The firm has cost function C(Q)=3Q and marginal cost function MC(Q)=3. Market demand is given by P(Q)=20-3Q. 1. What price will the firm charge? What quantity will it sell? 2. Now a second firm enters the market. This firm has an identical cost function to the incumbent firm. What is the Stackelberg equilibrium output for each firm if firm 2 chooses its quantity second? 3.What are the profits earned by...
Consider a firm’s cost function c(y) = 4y^2 + 80, where the $80 is a quasi-fixed...
Consider a firm’s cost function c(y) = 4y^2 + 80, where the $80 is a quasi-fixed cost in the long run but a fixed cost in the short run. The marginal cost associated with this cost function is MC = 8y. Assume this firm operates in perfectly competitive markets. (a) If the price of the firm’s output is $48, how many units will this firm choose to produce? What will be this firm’s profit? (b) If the price of the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT