We focus on the market of a particular good in Country A. Back in 2019, there were many (domestic) suppliers from Country A and many (foreign) suppliers from Country B all serving consumers in Country A. We ignore consumers of this good in any country other than Country A. The market is assumed to be perfectly competitive. Due to a trade war, all foreign suppliers from Country B disappeared. Consequently, the market supply was halved after the trade war at every possible market price. (a) [15 marks]Comparing the competitive equilibria before and after the trade war, do you think the quantity in the new equilibrium is higher than, equal to, or lower than half the quantity in the old equilibrium? Explain your reasoning. Your answer should not be specific to any particular demand and supply curves. (Limited to 100 words.) (b) [20 marks]For the rest of the question, assume that the market demand curve is 푞 = 21 − 3푝 and the market supply curve before the trade war is 푞 = 4푝. Hence, the market supply curve after the trade war is 푞 = 2푝. Find the competitive equilibria before and after the trade war. (c) [15 marks]Compute the change of consumer surplus due to the trade wa
Question
We focus on the market of a particular good in Country A. Back in 2019, there were many (domestic) suppliers from Country A and many (foreign) suppliers from Country B all serving consumers in Country A. We ignore consumers of this good in any country other than Country A. The market is assumed to be perfectly competitive. Due to a trade war, all foreign suppliers from Country B disappeared. Consequently, the market supply was halved after the trade war at every possible market price. (a) [15 marks]Comparing the competitive equilibria before and after the trade war, do you think the quantity in the new equilibrium is higher than, equal to, or lower than half the quantity in the old equilibrium? Explain your reasoning. Your answer should not be specific to any particular demand and supply curves. (Limited to 100 words.) (b) [20 marks]For the rest of the question, assume that the market demand curve is 푞 = 21 − 3푝 and the market supply curve before the trade war is 푞 = 4푝. Hence, the market supply curve after the trade war is 푞 = 2푝. Find the competitive equilibria before and after the trade war. (c) [15 marks]Compute the change of consumer surplus due to the trade wa
Solution
(a) The quantity in the new equilibrium is likely lower than half the quantity in the old equilibrium. The trade war halved the supply, and if demand remains constant, this would increase the price, reducing the quantity demanded, leading to a new equilibrium with less quantity than before.
(b) Before the trade war, the equilibrium is found where the demand curve (q = 21 - 3p) equals the supply curve (q = 4p). Solving these equations gives p = 3.5 and q = 10.5. After the trade war, the new supply curve is q = 2p. Setting this equal to the demand curve gives p = 4.2 and q = 8.4.
(c) Consumer surplus is the area between the demand curve and the price level up to the quantity sold. Before the trade war, consumer surplus is 0.5*(21-3.5)(10.5) = 92.75. After the trade war, it is 0.5(21-4.2)*(8.4) = 70.56. The change in consumer surplus due to the trade war is 70.56 - 92.75 = -22.19.
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