18.下列有關國民教育的敘述，何者正確？
(A)九年一貫課程涵蓋七大學習領域與六大議題
(B)凡六歲至十八歲之國民，應受國民教育
(C)國民中學各年級應配合能力分組教學，也實施能力分班
(D)教訓輔三合一係強調組織再造，以精簡人力的措施。

19.因應社會對國中九年一貫課程採取一綱多本教科書的批評，教育部及縣市教育局採取下列哪種措施？ (A)出版部編本數學教科書 (B)由縣市統一選定教科書版本供中小學使用 (C)由各校與書商議定書價 (D)基本學力測驗加考作文。

20.古諺「揠苗助長」是指在學習歷程中，那個因素的重要性？ (A)成熟 (B)遺傳 (C)環境 (D)獎勵

1. (8%) Which of the following statements is (are) not correct? (A) The demand curve of a normal good must be downward sloping. (B) The Engel curve of a neutral good must be upward sloping. (C) The demand curve of a Veblen good must be downward sloping. (D) The Engel curve of an inferior good must be upward sloping. (E) A Giffen good must be an inferior good.

2. (8%) Mary, a utility-maximizing consumer, chooses between x and y with the utility function $u(x, y) = \sqrt{x} + y$. Her income is 10. The price of x is 3 and the price of y is 2. Which of the following statements is (are) correct? (A) Her optimal consumption for \( x \) is \( \frac{1}{9} \). (B) \( x \) for her is a neutral good. (C) Her optimal consumption for \( y \) is \( \frac{29}{6} \). (D) \( y \) for her is a normal good. (E) Her optimal consumption basket could be a corner solution given any price of \( x \) and \( y \).

3. (8%) [Continuation of 2.] Suppose the price of y increases from 2 to 5 and the price of x remains at the same level. Under the Hicksian definition, which of the following statements is (are) correct? (A) The substitution effect on her consumption of \( y \) is \( \frac{-1}{2} \). (B) The substitution effect on her consumption of \( x \) must be negative. (C) The income effect on her consumption of \( y \) is \( \frac{-31}{12} \). (D) The income effect on her consumption of \( x \) must be negative. (E) None of the above.

4. (8%) Consider a firm with a production function $q = L^{\frac{1}{2}}K^{\frac{1}{3}}$, where L is labor input and K is capital input. Suppose the firm aims to produce 10 units. The wage rate is w and the interest rate is 1. Which of the following statements is (are) correct? (A) The production function exhibits decreasing returns to scale. (B) The elasticity of substitution for this production function is \( \frac{2}{3} \). (C) When the firm's cost is minimized, the labor demand function is \( L^{*} = (15 / w)^{2 / 3} \). (D) Diseconomies of scale occur during the production process. (E) None of the above.

5. (8%) Suppose Taiwan's rice market is perfectly competitive. A typical farmer's short-run total cost function is $TC = 0.1q^3 + 10q^2 + 400q + 520,$ where 520 is the sunk cost. Since Taiwan's fertile lands are limited, new farmers entering the rice market have to cultivate on infertile lands, increasing the total cost of a typical farmer. Assume that there is no technological progress of rice production in the long run. Which of the following statements is (are) correct? (A) The average fixed cost curve is strictly decreasing as \( q \) increases. (B) The average variable cost curve is strictly decreasing as \( q \) increases. (C) If a typical farmer cultivates, the marginal cost curve is strictly increasing as \( q \) increases. (D) In the short run, the shutdown price for a typical firm is 50. (E) The long-run supply curve for Taiwan's rice market is upward sloping.

6. (10%) Consider a closed economy with two individuals (Mary and Charles) and two goods (x, y). Mary's utility function is $u_m = x_m + 2y_m$, where $(x_m, y_m) = (\frac{3}{4}, \frac{1}{4})$. Charles's utility function is $u_c = \min\{x_c, y_c\}$, where $(x_c, y_c) = (\frac{1}{4}, \frac{3}{4})$. Mary and Charles can only exchange (including as a gift) between x and y. Which of the following statements is (are) correct? (A) Mary sees \( x \) and \( y \) as perfect complements. (B) For Charles, giving out \( x \) to Mary could be a Pareto improvement. (C) The contract curve for this economy is \( x_{m} = y_{m} \), where \( \frac{1}{4} \leq x_{m} \leq \frac{7}{12} \). (D) There is only one possible competitive equilibrium for this economy. (E) None of the above.

7. (10%) Apple is a monopoly in two markets. The inverse demand curve for the first market is p = 100 - 2q and is p = 55 - q for the second. Suppose that Apple cannot discriminate markets by price and has to set the same price across two markets. Further, assume that Apple's cost function is Which of the following statements is (are) correct? (A) Apple will sell its goods in only one market. (B) Apple will sell its goods in both markets. (C) Apple will set the price at \( p = 40 \). (D) Apple will set the price at \( p = 55 \). (E) None of the above.

8. (8%) There are two types of drivers: "Cautious", who has a probability of 1/3 of having an accident,while the other, "Reckless", has a probability of 2/3 of having an accident. Each driver has a wealth level of 100 dollars as an endowment and will lose all his endowments if an accident occurs. Suppose each driver's utility function is where w denotes the wealth level. u(w) = ln w,A risk-neutral insurance company offers insurance. However, it cannot tell drivers' types before selling the insurance. It then offers the following two policies in the hope that each type can voluntarily purchase the right kind of insurance appropriately:●Policy I: the insurance company will cover 20 dollars of loss if the insured buys 10 dollars amount of insurance.●Policy II: the insurance company will cover 35 dollars of loss if the insured buys 70 dollars amount ofinsurance.Which of the following statements is (are) correct?(A) Every type of driver will purchase insurance. (B) The insurance firm will run a deficit in profit. (C) Cautious type will purchase Policy I. (D) Reckless type will purchase Policy II. (E) None of the above.

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