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12. (8%) Consider a scenario where there is a single train traveling from Taichung to Taipei, making a brief stop at Hsinchu. A passenger intending to cover the entire journey requires two tickets: one from Taichung to Hsinchu and another from Hsinchu to Taipei. Let the price of travel, denoted by p, represent the sum of these two ticket prices. The number of passengers traveling from Taichung to Taipei is given by q = 120 - 4p,where q is the number of passengers. Consider the following two scenarios: ● Scenario I: there are two competing monopolists; one of them decides the ticket price from Taichung to Hsinchu, and the other one decides the ticket price from Hsinchu to Taipei. ● Scenario II: there is one monopolist, who decides both the ticket prices from Taichung to Hsinchu and from Hsinchu to Taipei. Assume the operation cost is zero for monopolists in both scenarios. Which of the following statements is (are) correct? (A) The consumers are strictly better in Scenario I comparing Scenario II. (B) The consumers are strictly better in Scenario II comparing Scenario I. (C) The price of travel is strictly lower in Scenario I comparing Scenario II. (D) The price of travel is strictly lower in Scenario II comparing Scenario I. (E) None of the above.

11. (8%) [Continuation of 10.] Now, suppose the government acquires tea maker A. The government-owned enterprise will care about its own producer's surplus and the totality of consumers' surplus in the market. Tea maker B remains a private firm, and therefore, it maximizes its producer's surplus only. Which of the following statements is (are) correct if B and the government-owned A engage in the Cournot competition? (A) The equilibrium price is above $5. (B) The equilibrium price is below $5. (C) The consumers' surplus is larger than $50. (D) The consumers' surplus is smaller than $50. (E) The social surplus is maximized in the equilibrium.

10.(8%) Tea makers A and B engage in a Cournot competition, facing an inverse demand curve p = 18 – 2q.Suppose that A's cost function is 2qA and B's cost function is qB, where qa is the quantity produced by A, and qB is the quantity produced by B.Which of the following statements is (are) correct? (A) The producers' surplus for A is larger than that for B. (B) The producers' surplus for B is larger than that for A. (C) The consumers' surplus is larger than $50. (D) The consumers' surplus is smaller than $50. (E) The social surplus is maximized in the equilibrium.

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二、為因應現今多元開放的社會，教師應如何提升自己的專業智能，以協助獲得最佳的學習成效？

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