Consider the following Stackelberg environment. There are three firms in the market. All firms produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied by firm 1. Finally, firm 3 observes the quantity supplied by firm 1 and firm 2 and chooses how much to supply. The market demand is Q=120-P. For firm the total cost function is TC(q) = 20q, What is themarket clearing price? 32.5 20 25 18.75 4
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- The competitive market for Botox procedures is characterized by the following supply and demand curves: QS = −2,000 + 10P and QD = 24,000 −16P where P is the price of the procedure and QS is the quantity supplied and QD is the quantity demanded. a: Solve for the equilibrium quantity and price in the Botox market.b: Neatly graph the market for Botox procedures, showing the vertical intercepts of the supplyand demand curves. Show the equilibrium.Suppose that pig farming in a region is a perfectly compet- itive industry. However, one negative consequence of this activity is that it creates water pollution that adversely affects the health of the residents in the nearby communities that rely on the water sources that are contaminated by the pig farms. The market supply curve for pigs (or hogs) is given by H^S = 6p where H^S is the quantity of hogs supplied to the market by farmers in this region. The market demand for hogs is given by H^P = 300 – 4p. The government estimates that the additional medical costs (M) imposed on the nearby communities is given by M = 5H, where H is the quantity of hogs produced and sold in the market. Q: In the absence of clearly defined property rights over water use or con- ventions or some form of government intervention, derive the market equilibrium for hogs and the DWL resulting from the additional medical costs associated with hog production. Please show the formula, thank you.Imagine a market with demand p(q) = 100 − q. There are two firms, 1 and 2, and each firm i has to simultaneously choose its price pi. If pi < pj , then firm i gets all of the market while no one demands the good of firm j. If the prices are the same then both firms split the market demand equally. Imagine that there are no costs to produce any quantity of the good. (These are two large dairy farms, and the product is manure.) Write down the normal form of this game. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Take this hypothetical situation: Suppose that the supply side of the market for for electric energy is comprised of two sellers: Seller 1 and Seller 2. Let P be the price of one unit of electric energy, and Q be the quantity of electric energy. Seller 1 owns a hydropower factory with a constant marginal cost of $3 and can produce a maximum of 10 units of electric energy. In addition, the hydropower plant has a requirement of a minimum of 3 units of electric energy. Seller 2 owns a solar factory to produce electric energy. This factory has a constant marginal cost of $5 and can produce a maximum of 5 units of electric energy. With this given information, please sketch the market supply by aggregating the two individual supplies. Please label the graph clearly for slopes, kinks, intercepts, etc.Take this hypothetical situation: Suppose that the supply side of the market for for electric energy is comprised of two sellers: Seller 1 and Seller 2. Let P be the price of one unit of electric energy, and Q be the quantity of electric energy. Seller 1 owns a hydropower factory with a constant marginal cost of $3 and can produce a maximum of 10 units of electric energy. In addition, the hydropower plant has a requirement of a minimum of 3 units of electric energy. Seller 2 owns a solar factory to produce electric energy. This factory has a constant marginal cost of $5 and can produce a maximum of 5 units of electric energy. A) With this given information, please sketch the market supply by aggregating the two individual supplies. Please label the graph clearly for slopes, kinks, intercepts, etc. B) Suppose that the price of geothermal increases. On the graph drawn in part A, show precisely how the supply curve changes. C) Suppose that the price of geothermal increases. In a market…Consider a competitive market for some commodity x in which some firms are polluters. Firm A: C(xA ) = 25xA and the environmental cost to society is E(xA ) = 15xA. Firm B: C(xB) = (1/10)x (xB x xB ) and the environmental cost to society is E(xB ) = 0. Assume initially that the market operates without any recognition of environmental costs. Both firms are price-takers. Determine for what prices Firm A will provide the good? Does it matter to firm A what quantity is supplied? Find the supply function for Firm B. Assume the market demand for the commodity is given by x(p)=40000/p 3. Find the competitive market equilibrium price and quantity using your answers in 1) and 2) when the firm supplies reflect their ability to compete at a given price. 4. Suppose a planner uses the representative consumer’s utility function, to find the socially optimal allocation of resources to the two firms. Choose (xA, xB, Y) to solve max U(x, y) = (40000)ln(X) + Y Subject to x= xA + xB, xA ≥ 0 xB…
- Based on market research, a film production company in Ectenian obtains the following information about the demand and production costs of its new DVD:Demand: P = 1,000 – 10QTotal Revenue: TR = 1,000Q – 10Q2Marginal Revenue: MR = 1,000 – 20QMarginal Cost: MC = 100 + 10Qwhere Q indicates the number of copies sold and P is the price in Ectenian dollars.d. Suppose, in addition to the costs above, the director of the film has to be paid. The company is considering four options:i. A flat fee of 2,000 Ectenian dollarsii. 50 percent of the profitsiii. 150 Ectenian dollars per unit soldiv. 50 percent of the revenueFor each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? ExplainSuppose that the inverse market demand for pumpkins is given by P = $10 - 0.05Q. Pumpkins can be grown by anybody at a marginal cost of $1.a competitive firm can sell any amoun if the firm set a price equal to the market price
- Consider a market where every firm and every potential entrant has the identical cost functionC(q) = 3q3 − 6q2 + 6q.(a) Find the firm’s inverse supply function. b)SupposethemarketdemandfunctionisgivenbyQD(P)=20−2P.Find the long-run equilibrium price, quantity, and the number of firms. (c)Suppose the demand function suddenly becomes perfectly inelastic at quantity Q ̄ = 7. Find the long-run equilibrium price, quantity and the number of firms.(d) [5] Suppose the demand becomes perfectly inelastic at quantity Q ̄ = 7, and the government decides to collect a per unit tax of t = 4 from the producers for every unit of the good they sell. Find the long-run equilibrium price, quantity and the number of firms Please express final numerical answers in decimal format Equation attached belowConsider a simple Hotelling city setup. There are two firms located at either end of a street of length one mile (so, Firm 1 is at 0 and Firm 2 is at 1). 100 consumers are uniformly located along the street. Consumers bear a transportation cost of $t per unit of distance. Each consumer will buy 1 and only 1 unit of the good. The firms can produce the good at zero marginal cost. Denote Firm 1’s price p1 and Firm 2’s price p2. a. Call x (where x must be between 0 and 1 inclusive), the location of the consumer who is indifferent between buying from Firm 1 and from Firm 2. Write down a formula for x. (Hint: it should have a p1 in it, a p2 in it, and a t in it!).We are given the market information of pizza as below: a)Define the market demand equation and supply equation. a)Estimate the consumers’ surplus, producers' surplus and total market’s surplus