Suppose an industry has 100 firms, each with supply curve P = 50 + 10Q. Furthermore, suppose the market demand curve is given by P = 200 - 0.9Q. What is the numerical value of aggregate producer surplus in this market? iz Content under 1500 between 1500 and 2500 between 2500 and 3500
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- Please no written by hand and no emage Two firms compete in a homogeneous product market where the inverse demand function is P = 20 −5Q (quantity is measured in millions). Firm 1 has been in business for one year, while Firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $1.6 million regardless of its production decision. Firm 1’s marginal cost is $2, and Firm 2’s marginal cost is $10. The current market price is $15 and was set optimally last year when Firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market.Determine the current profits of the two firms. Firm 1's profits: $Firm 2's profits: $What would each firm’s current profits be if Firm 1 reduced its price to $10 while Firm 2 continued to charge $15?Firm 1's profits: $Firm 2's profits: $Suppose that, by cutting its price to $10, Firm 1 is able to drive Firm 2 completely out of the market. After Firm 2 exits the market, does Firm 1 have an…Suppose the market demand for a homogeneous product is given by Q = a - bP, where a and b are positive constants. The product is supplied by a dominant firm with a constant marginal cost c > 0 and n competitive fringe firms, each of which has a cost function ci(qi) = (qi^2)/(2ki) for i = 1, ... , n, where ki > 0 is a parameter. Suppose the dominant firm moves first by setting a price P, followed by competitive fringe rms setting their quantities, taking the price as given. a). Compute the equilibrium price and quantity level for each firm. b). How does the presence of competitive fringe firms affect the equilibrium price, as compared to the monopoly price by the dominant firm?You’ve been given a firm’s production and cost functions:p = 132 −2qMC = 12 + 4q(a) Assume this firm is in a perfectly competitive market. Calculate the equilibrium price andquantity.(b) What is the firm’s profit here?(c) Assume this firm is in a monopoly market. Calculate the equilibrium price and quantity.(d) What is the firm’s profit here?(e) Give an example of a perfectly competitive agricultural market, and give an example of amonopoly agricultural market.
- A firm has the following total costs, where Q is output and TC is total cost: QTC0$ 1001110213031604200525063107380846095501065011760 Say the firm is in a perfectly competitive market. If the current market (equilibrium) price is $ 70, at what output level will the firm as a profit maximizer produce at? Say the market price rises to $ 100. At what output level (as a perfect competitor) will this produce at? How much profit is the firm making at a price of $90? Based on this calculation, do you expect firms to enter or leave this market? Say instead this firm is a monopoly. If the firm maximizes profit at an output level where marginal revenue equals $ 80, what output level will this be?I alrready got the first half answered, I need the second half. JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in…5. The market demand for leather handbags is given by the function P = 75 - 1.5Q. P is priceper handbag, and Q is output per time period.The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets thistype of bag has a marginal cost of production of MC = 2.5 + 10q. [4]a) Calculate the market equilibrium price for the bags as well as the output rate in themarket.b) Calculate how much the typical firm will produce per time period at the equilibriumprice.c) If all firms had the same cost structure, how many firms would compete at theequilibrium price computed in (a) above?
- A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.Suppose that fixed costs for a firm in the automobile industry (start-up costs of facto-ries, capital equipment, and so on) are $5 billion and that variable costs are equal to$17,000 per finished automobile. Because more firms increase competition in themarket, the market price falls as more firms enter an automobile market, or specifi-cally, P = 17,000 + (150/n), where n represents the number of firms in a market.Assume that the initial size of the U.S, and the European automobile markets are 300million and 533 million people, respectively.a. Calculate the equilibrium number of firms in the U.S. and European automobilemarkets without trade.b. What is the equilibrium price of automobiles in the United States and Europe if theautomobile industry is closed to foreign trade?c. Now suppose that the United States decides on free trade in automobiles withEurope. The trade agreement with the Europeans adds 533 million consumers tothe automobile market, in addition to the 300 million in the…Consider a market for energy drinks consisting of only one firm. The firm has a linear cost function: C(q)=4q, where q represents quantity produced by the firm. The market inverse demand function is given byr P(Q)=24-2Q, where Q represents total industry output. Based on the given information answer the following. a. Now suppose a second firm enters the market. The second firm has an identical cost function. What will be the Cournot equilibrium output for each firm? b. Whay is the Stackelberg equilibrium output for each firm of firm 2 enters second? How much profit will each firm make in yhe Cournot game? How much in Stackelberg? c. Which type of market do consumers prefer: monopoly, Cournot duopoly or Stackelberg duopoly?
- COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibriumWakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 1. Calculate the equilibrium price and output for each market. 2. How much is the total revenue in each market?Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.