Use the photo at exercise 14 to solve the problem below
With the Firm Y response function Qy=600-1/2Qx
and the Firm XX response function Qx=600-1/2Qy
Imagine that firm X chooses their quantity first, then firm Y observes the quantity of firm X and chooses their own quantity. What quantities will they end up choosing? Is there a first or second-mover advantage here?
[You may assume that firm X can only choose quantities that are multiples of 200. This prevents you from having to deal with prices that are not on the schedule. just a little thinking about how equilibrium works in a sequential-move game. Oh, and just give me the quantity for each firm, don't worry about giving me a complete strategy for firm Y.]
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- Stutz Department Store will buy 10 pairs of sunglasses if the price is $76 per pair and 30 pairs if the price is $26. The supplier of the sunglasses is willing to provide 35 pairs if the price is $81 per pair but only 5 pairs if the price is $21. Assuming that the supply and demand functions for the sunglasses are linear, find the market equilibrium point. Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and the supply function is given by 50p − q = 1,350. (Assume price is measured in dollars.) If the government levies a tax of $3 per item, find the equilibrium point after the tax is levied. The tax is added to the selling price of the product.arrow_forwardTHIS EXERCISE FOR MATHEMATICAL ECONOMIC : Question (1): Suppose the estimated quantity demand for potato chips is Q = 140 – 15p and the quantity supply function for potato chips is Q = 115 + 10p. Find the equilibrium price and quantity for the number of bags of potato chips. Suppose that the main costs of producing potato chips are labor and potatoes. On a per unit basis, the cost of producing and manufacturing a bag of potato chips rises by $1.50. The firms are citing higher labor costs and fewer potatoes are grown due to the poor climate. What will be the new equilibrium price and quantity? Whichever curve you think a shift will occur, derive the new function. Suppose that a health news piece has been published indicating the ill effects of consuming potato chips. The news has been published after the firms incurred the higher costs of production. Consumers are being advised to consume popcorn or pretzels instead of potato chips. How would that affect the market for potato…arrow_forwardConsider 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?arrow_forward
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