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Suppose Home and Foreign are two countries producing bicycles ($B$) and apples ($A$) using capital and labor inputs. Home and Foreign have the same demand curves for bicycles and apples. In the above graph, $R_H$ and $R_F$ represent the relative quantity of bicycles to apples, and $P_H$ and $P_F$ represent the price of bicycles to apples. Points 1 and 2 represent the autarky equilibrium at Home and in the Foreign respectively. When these two economies trade freely with each other, the world equilibrium takes place at point 3. 20. Which of the following among the predictions of the Heckscher-Ohlin model about the pattern of trade and the changes that will take place after free trade? a. Apples become relatively expensive at Home and relatively more cheaper in the Foreign. b. Relative quantity of bicycles to apples produced at Home increases. c. Opportunity cost of producing bicycles at Home increases. d. Home exports bicycles

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12.1 Problems 12.1. Determine the value of the coefficient of correlation, $r$, for the following data. X 4 6 7 11 14 17 21 Y 18 12 13 8 7 7 4 12.2. Determine the value of $r$ for the following data. X 158 296 87 110 436 Y 349 510 301 322 550 12.3. In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of activity of the stock market spread out over four months. Using the following prices of Delta stock and Southwest stock, compute the coefficient of correlation. Stock prices have been rounded off to the nearest tenth for ease of computation. Delta Southwest 47.96 51.76 52.14 58.41 49.93 58.74 53.78 62.58 54.17 57.34 48.96 55.68

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Consider the function f(x) = 2x^3 - 3x + 2 over the interval [0, 2]. Does the Mean Value Theorem (MVT) apply? If it does, what's the conclusion that can be reached by MVT?

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One angle is five times its complement increased by 30°. Find the measures of the two complementary angles. (Note: Two angles are complementary if the sum of their measures is 90°.) Answer:

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12.2.3. This exercise is used in Sections 12.4, 13.5, and 13.6. Let $E$ be an open Jordan region in $R^n$ and $x_0 \in E$. If $f: E \to R$ is integrable on $E$ and continuous at $x_0$, prove that \begin{equation*} \lim_{r \to 0^+} \frac{1}{Vol(B_r(x_0))} \int_{B_r(x_0)} f \,dV = f(x_0). \end{equation*}

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Which of the following must be deducted from the bank statement balance when preparing a bank reconciliation? Select one: a. Outstanding Cheques b. Outstanding Deposits c. Deposits by EFT d. Collection of Notes Receivable

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4- Use the Laplace Transform method to solve the following IVP. Where y" + 4y' + 4y = g(t), y(0) = 3, y'(0) = -2 g(t) = \begin{cases} e^{2t} & \text{if } 0 \le t < 2 \\ e^{2t} - 1 & \text{if } 2 \le t \end{cases}

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6. The demand functions for the only two goods in the economy are $Q_1 = 10 - 2P_1 + P_2$ and $Q_2 = 10 - 2P_2 + P_1$. Five units of each good are available for sale. Solve for the equilibrium prices and quantities in each market. 7. The demand functions for each of the two goods depend on the prices of the goods: $Q_1 = 15 - 3P_1 + P_2$ and $Q_2 = 6 - 2P_2 + P_1$. However, each supply curve depends only on its own price: $Q_1 = 2 + P_1$ and $Q_2 = 1 + P_2$. Solve for the equilibrium prices and quantities in each market.

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The diagram below shows the domestic demand and supply curves for cotton towels in Canada. The prevailing towels is $P_w$. Assume that all cotton towels are identical Price $P_w + t$ A B C D $P_w$ E F G H I J $Q_1$ $Q_2$ $Q_3$ $Q_4$ Quantity of cotton towels FIGURE 33-3 Refer to Figure 33-3. If Canada imposes a tariff of $t per cotton towel, the Canadian government's tariff revenues will be equal to area Select one: Oa. C + H. Ob. C. Oc. B + C + D. Od. A + B + C. Oe. A + B + C + D.

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