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 the quantity produced by firm 2?
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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.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…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.
- Given the demand function P = 64 - Q and the supply function: P = 4 + ¼ Q. Determine:a. Market equilibrium price and quantityb. The size of the consumer surplusc. The amount of the producer surplus.Using diagrams and calculations, compare the welfare outcomes of the following markets to that of a perfectly competitive market. Assume the inverse market demand for the product is P = 1000 – 2Q and that the marginal cost of production is MC = Q. Remember that a perfectly competitive firm will operate at an allocatively efficient equilibrium. You may only use one diagram per answer. First degree price discriminator compared to perfect competition please show what the diagram would look like as I am able to do the calculations but the diagram is confusing me to some extentImagine 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.
- In a competitive market for toilet paper, the highest price consumers are willing to pay is $12 per pack and the lowest price producers are willing to accept is $7 per pack. The market is in equilibrium where the price is $8 per pack, at which 10 million packs are sold. Assume that both demand and supply curves are straight lines. 1. The market above is efficient when the quantity of toilet paper traded is _____ million packs.Only typed answer Each firm in a competitive market has a cost function of C(q) = q − q 2 + q 3 . The market has an unlimited number of potential firms. The market demand function is Q = 24 − P. a. Determine the long-run equilibrium price, the quantity per firm, the market quantity, and the number of the firms. b. How do these values change if a tax of $1 per unit is collected from each firm? c. How would these values change if instead of a tax the government implements a price floor of 30?A market in which there are only a few firm and each is able to influence the market price is termed?
- In a given market three firms compete by choosing quantity simultaneously. The demand schedule is this market is P(Q) = 300 – 2Q. All the firms have the same cost function: C(q) = 140q - 100. (i) What is the equilibrium price, the quantity produce by each firm, the profit earned by each firm and the consumer surplus? Carefully explain your derivation and provide reasoning.Suppose the demand and the supply for lumber (harvested wood processed in a sawmill) used for construction in Australia are given by QD =100 – 2P QS = 1/2P Assume also that the market is perfectly competitive 7. Steel is a substitute for lumber in construction. Now suppose the price for steel rises. Use a graph of supply and demand to show what happens in equilibrium. Show changes relative to the original equilibrium you found. 8. the government introduces a subsidy of s=5 per unit of lumber transacted in the market. Calculate the new equilibrium quantity and the price paid by consumers and received by producers 9. Given the subsidy in 8, calculate and illustrate in a graph the consumer surplus, producer surplus and subsidy expenditure. 10. Calculate the deadweight loss caused by the subsidy in 8 and illustrate it in a graph. 11. Who benefits more from the subsidy, consumers or producers? Why?Consider a regional with a uniform distribution of population where every household consumes the same amount of a good. The regional government recently stated its policy for the location of factories making the good: “A factory should reach the minimum point of its average production cost curve at an output of 1000 units. Since the total demand for the good is 4000 units, we should have 4 factories in the region. Since the distribution of the population is uniform, the factories should be distributed uniformly throughout the region” Comment on this policy as to in particular whether there should be more or fewer factories for efficiency?