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Opportunity Cost Of Producing Good Assignment Paper
Question



Let two countries, A and B, produce two goods, good I and good II. The two countries produce goods I and II at the following labor costs (in man-hours):










Good I
Good 2


Country A
aLIA = 1
aLIIA​​​​​​​ = 2


Country B
aLIB = 4
aLIIB = 3



The total of labor units available to country A is LA = 100 and the total of labor units available to country B is LB = 321.

It is requested to find:
(a) in which good do countries A and B have a comparative advantage (show the calculations you will do to find the comparative advantage),
(b) construct the production possibilities curves (PPCs) of the two countries under the assumption that the opportunity cost is constant in both countries (ie
explain the steps that should be followed to construct the PPCs),
(c) find the range of prices between which the two countries show profits after the commencement of trade between them,
(d) to show diagrammatically the consumption possibilities of the two countries after start trade between them if the ratio of the prices of goods after the start
trade is PI / PII = 1 (explain the steps that should be followed forthe construction of the relevant curves), and
(e) consider the distribution of the gains from trade between the two countries if after the start of trade the ratio of the prices of the two goods is P​​​​​​​I / PII = 1 /2 (explain the steps that should be followed to construct the relevant curves) Opportunity Cost Of Producing Good Assignment Paper.
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Step-by-step
Step 1/4








To determine the comparative advantage of each country, we need to compare their relative opportunity costs of producing each good. Opportunity cost refers to the cost of producing one unit of a good in terms of the foregone production of another good.










 	Explanation for step 1









For country A, the opportunity cost of producing one unit of good I is the number of man-hours required to produce one unit of good II divided by the number of man-hours required to produce one unit of good I, which is: Opportunity cost of producing good I in country A = aLIIA/aLIÀ = 2/1 = 2 Similarly, the opportunity cost of producing one unit of good II in country A is: Opportunity cost of producing good II in country A = aLIÀ/aLIIA = 1/2 = 0.5 For country B, the opportunity cost of producing one unit of good I is: Opportunity cost of producing good I in country B = aLIIB/aLIB = 3/4 = 0.75 The opportunity cost of producing one unit of good II in country B is: Opportunity cost of producing good II in country B = aLIB/aLIIB = 4/3 = 1.33 Comparing the opportunity costs, we can see that for country A, the opportunity cost of producing good I is lower than that of producing good II. This means that country A has a comparative advantage in producing good I. For country B, the opportunity cost of producing good II is higher than that of producing good I, which means that country B has a comparative advantage in producing good I. Therefore, country A has a comparative advantage in producing good I, and country B has a comparative advantage in producing good II. Opportunity Cost Of Producing Good Assignment Paper








Step 2/4








To construct the production possibilities curves (PPCs) for both countries, we need to plot the various combinations of goods I and II that each country can produce given its available labor resources and the labor costs of each good.


To do this, we will assume that the opportunity cost of producing each good is constant in both countries. This means that as a country increases its production of one good, it will have to give up an increasing amount of the other good. In other words, the tradeoff between the two goods is linear and constant.

Note that in both countries, the PPCs are downward sloping straight lines, reflecting the constant opportunity cost assumption. The slope of each PPC represents the opportunity cost of producing one good in terms of the other good. In Country A, the opportunity cost of producing one unit of Good I is 2 units of Good II (i.e., the slope of the PPC is -2). In Country B, the opportunity cost of producing one unit of Good I is 3.375 units of Good II (i.e., the slope of the PPC is -3.375)Opportunity Cost Of Producing Good Assignment Paper.










 	Explanation for step 2









To construct the PPC for Country A, we can follow these steps: On a graph, plot the axis for Good I on the x-axis and the axis for Good II on the y-axis. Determine the maximum amount of Good I that Country A can produce, given its available labor resources. In this case, Country A has 100 labor units, and producing one unit of Good I requires 1 labor unit, so the maximum amount of Good I that Country A can produce is 100. Determine the maximum amount of Good II that Country A can produce, given its available labor resources. In this case, producing one unit of Good II requires 2 labor units, so the maximum amount of Good II that Country A can produce is 50 (i.e., 100/2). Plot the point (100, 0) on the graph, which represents the maximum amount of Good I that Country A can produce (with all its labor resources) and 0 amount of Good II. Plot the point (0, 50) on the graph, which represents the maximum amount of Good II that Country A can produce (with all its labor resources) and 0 amount of Good I. Connect the two points with a straight line to form the PPC for Country A. To construct the PPC for Country B, we can follow similar steps: On a graph, plot the axis for Good I on the x-axis and the axis for Good II on the y-axis. Determine the maximum amount of Good I that Country B can produce, given its available labor resources. In this case, Country B has 321 labor units, and producing one unit of Good I requires 4 labor units, so the maximum amount of Good I that Country B can produce is 80 (i.e., 321/4). Determine the maximum amount of Good II that Country B can produce, given its available labor resources. In this case, producing one unit of Good II requires 3 labor units, so the maximum amount of Good II that Country B can produce is 107 (i.e., 321/3). Plot the point (80, 0) on the graph, which represents the maximum amount of Good I that Country B can produce (with all its labor resources) and 0 amount of Good II. Plot the point (0, 107) on the graph, which represents the maximum amount of Good II that Country B can produce (with all its labor resources) and 0 amount of Good I. Connect the two points with a straight line to form the PPC for Country B. Opportunity Cost Of Producing Good Assignment Paper








Step 3/4








To find the range of prices between which the two countries show profits after the commencement of trade between them, we need to compare their relative costs of producing each good and determine which country has a comparative advantage in producing each good. The relative cost of producing a good is measured by the opportunity cost of producing that good, which is the amount of the other good that could have been produced with the same amount of resources (labor units in this case).

Therefore, the range of prices between which the two countries show profits after the commencement of trade between them is: 0.5 < P/Q < 0.75 Within this range, both countries can gain from trade by specializing in the production of the good in which they have a comparative advantage and trading for the other good.











 	Explanation for step 3









For Country A: The opportunity cost of producing one unit of good I is 2/1 = 2 units of good II. The opportunity cost of producing one unit of good II is 1/2 = 0.5 units of good I. For Country B: The opportunity cost of producing one unit of good I is 3/4 = 0.75 units of good II. The opportunity cost of producing one unit of good II is 4/3 = 1.33 units of good I. From the above, we can see that Country A has a comparative advantage in producing good I (lower opportunity cost), while Country B has a comparative advantage in producing good II (lower opportunity cost). To determine the range of prices between which the two countries show profits, we need to consider the terms of trade, which is the exchange ratio of the two goods in international trade. The terms of trade must lie between the opportunity cost ratios of the two countries. Suppose the price of good I is P and the price of good II is Q. Then the terms of trade can be expressed as P/Q. For Country A, the minimum price ratio that would make it profitable to trade is 0.5 (the opportunity cost of producing good II). If the terms of trade are more favorable (i.e., P/Q > 0.5), then Country A would specialize in producing good I and export it in exchange for importing good II. For Country B, the minimum price ratio that would make it profitable to trade is 0.75 (the opportunity cost of producing good I). If the terms of trade are more favorable (i.e., P/Q < 0.75), then Country B would specialize in producing good II and export it in exchange for importing good I. Opportunity Cost Of Producing Good Assignment Paper









Step 4/4








To find the distribution of gains from trade between the two countries, we need to compare their relative production efficiencies in the two goods and determine the terms of trade (the price ratio of the two goods) that will allow both countries to gain from trade.


First, let's calculate the labor productivity of each country in each good. This is done by dividing the quantity of each good that can be produced with one hour of labor, i.e., Good 1 output per hour of labor and Good 2 output per hour of labor:










 	Explanation for step 4









Country A: Labor productivity of Good 1 = 1/aLIA = 1/1 = 1 unit/hour Labor productivity of Good 2 = 1/aLIIA = 1/2 = 0.5 unit/hour Country B: Labor productivity of Good 1 = 1/aLIB = 1/4 = 0.25 unit/hour Labor productivity of Good 2 = 1/aLIIB = 1/3 = 0.33 unit/hour Next, let's construct the production possibility frontiers (PPFs) for each country, which show the maximum amounts of each good that can be produced given their resources and technology. The PPF for Country A is shown in the following graph, where the slope of the curve at any point represents the opportunity cost of producing one good in terms of the other good: Opportunity Cost Of Producing Good Assignment Paper

| / 50 | / PPF_A | / 25 | / |/ /--------- 100 25 50



| / 80| / PPF_B | / 40| / /--------- 321 80 160

We can see that Country A has an absolute advantage in producing both goods since it has a lower labor cost for each good. However, it has a comparative advantage in producing Good 1 since it has a lower opportunity cost (1/2 unit of Good 2 foregone for each unit of Good 1 produced), while Country B has a comparative advantage in producing Good 2 (3/4 unit of Good 1 foregone for each unit of Good 2 produced). To determine the terms of trade that will allow both countries to gain from trade, we need to find the price ratio of the two goods that lies between the opportunity costs of the two countries. That is, the terms of trade should be such that Country A can trade Good 1 for more than 1/2 unit of Good 2 (its opportunity cost of producing Good 1) and Country B can trade Good 2 for more than 3/4 unit of Good 1 (its opportunity cost of producing Good 2). One such price ratio that satisfies this condition is P I / PII = 1/2.
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Final answer








Assuming that before trade, each country consumes what it produces, the initial consumption bundle of Country A is (50, 25) (50 units of Good 1 and 25 units of Good 2), and that of Country B is (40, 80) (40 units of Good 1 and 80 units of Good 2). If the terms of trade are P I / PII = 1/2, then Country A will want to trade some of its Good 1 for Good 2, while Country B will want to trade some of its Good 2 for Good 1.

Suppose that after trade, Country A and Country B agree to trade 20 units of Good 1 for 20 units.
You can find conclusion of each point in their respective step Opportunity Cost Of Producing Good Assignment Paper

Expert Answer

Opportunity Cost Of Producing Good Assignment Paper

Question

Let two countries, A and B, produce two goods, good I and good II. The two countries produce goods I and II at the following labor costs (in man-hours):
Good I Good 2
Country A aLIA = 1 aLIIA​​​​​​​ = 2
Country B aLIB = 4 aLIIB = 3
The total of labor units available to country A is LA = 100 and the total of labor units available to country B is LB = 321. It is requested to find: (a) in which good do countries A and B have a comparative advantage (show the calculations you will do to find the comparative advantage), (b) construct the production possibilities curves (PPCs) of the two countries under the assumption that the opportunity cost is constant in both countries (ie explain the steps that should be followed to construct the PPCs), (c) find the range of prices between which the two countries show profits after the commencement of trade between them, (d) to show diagrammatically the consumption possibilities of the two countries after start trade between them if the ratio of the prices of goods after the start trade is PI / PII = 1 (explain the steps that should be followed forthe construction of the relevant curves), and (e) consider the distribution of the gains from trade between the two countries if after the start of trade the ratio of the prices of the two goods is P​​​​​​​I / PII = 1 /2 (explain the steps that should be followed to construct the relevant curves) Opportunity Cost Of Producing Good Assignment Paper.

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Step-by-step

Step 1/4
To determine the comparative advantage of each country, we need to compare their relative opportunity costs of producing each good. Opportunity cost refers to the cost of producing one unit of a good in terms of the foregone production of another good.
  • Explanation for step 1
For country A, the opportunity cost of producing one unit of good I is the number of man-hours required to produce one unit of good II divided by the number of man-hours required to produce one unit of good I, which is: Opportunity cost of producing good I in country A = aLIIA/aLIÀ = 2/1 = 2 Similarly, the opportunity cost of producing one unit of good II in country A is: Opportunity cost of producing good II in country A = aLIÀ/aLIIA = 1/2 = 0.5 For country B, the opportunity cost of producing one unit of good I is: Opportunity cost of producing good I in country B = aLIIB/aLIB = 3/4 = 0.75 The opportunity cost of producing one unit of good II in country B is: Opportunity cost of producing good II in country B = aLIB/aLIIB = 4/3 = 1.33 Comparing the opportunity costs, we can see that for country A, the opportunity cost of producing good I is lower than that of producing good II. This means that country A has a comparative advantage in producing good I. For country B, the opportunity cost of producing good II is higher than that of producing good I, which means that country B has a comparative advantage in producing good I. Therefore, country A has a comparative advantage in producing good I, and country B has a comparative advantage in producing good II. Opportunity Cost Of Producing Good Assignment Paper
Step 2/4
To construct the production possibilities curves (PPCs) for both countries, we need to plot the various combinations of goods I and II that each country can produce given its available labor resources and the labor costs of each good.
To do this, we will assume that the opportunity cost of producing each good is constant in both countries. This means that as a country increases its production of one good, it will have to give up an increasing amount of the other good. In other words, the tradeoff between the two goods is linear and constant.
Note that in both countries, the PPCs are downward sloping straight lines, reflecting the constant opportunity cost assumption. The slope of each PPC represents the opportunity cost of producing one good in terms of the other good. In Country A, the opportunity cost of producing one unit of Good I is 2 units of Good II (i.e., the slope of the PPC is -2). In Country B, the opportunity cost of producing one unit of Good I is 3.375 units of Good II (i.e., the slope of the PPC is -3.375)Opportunity Cost Of Producing Good Assignment Paper.
  • Explanation for step 2
To construct the PPC for Country A, we can follow these steps: On a graph, plot the axis for Good I on the x-axis and the axis for Good II on the y-axis. Determine the maximum amount of Good I that Country A can produce, given its available labor resources. In this case, Country A has 100 labor units, and producing one unit of Good I requires 1 labor unit, so the maximum amount of Good I that Country A can produce is 100. Determine the maximum amount of Good II that Country A can produce, given its available labor resources. In this case, producing one unit of Good II requires 2 labor units, so the maximum amount of Good II that Country A can produce is 50 (i.e., 100/2). Plot the point (100, 0) on the graph, which represents the maximum amount of Good I that Country A can produce (with all its labor resources) and 0 amount of Good II. Plot the point (0, 50) on the graph, which represents the maximum amount of Good II that Country A can produce (with all its labor resources) and 0 amount of Good I. Connect the two points with a straight line to form the PPC for Country A. To construct the PPC for Country B, we can follow similar steps: On a graph, plot the axis for Good I on the x-axis and the axis for Good II on the y-axis. Determine the maximum amount of Good I that Country B can produce, given its available labor resources. In this case, Country B has 321 labor units, and producing one unit of Good I requires 4 labor units, so the maximum amount of Good I that Country B can produce is 80 (i.e., 321/4). Determine the maximum amount of Good II that Country B can produce, given its available labor resources. In this case, producing one unit of Good II requires 3 labor units, so the maximum amount of Good II that Country B can produce is 107 (i.e., 321/3). Plot the point (80, 0) on the graph, which represents the maximum amount of Good I that Country B can produce (with all its labor resources) and 0 amount of Good II. Plot the point (0, 107) on the graph, which represents the maximum amount of Good II that Country B can produce (with all its labor resources) and 0 amount of Good I. Connect the two points with a straight line to form the PPC for Country B. Opportunity Cost Of Producing Good Assignment Paper
Step 3/4
To find the range of prices between which the two countries show profits after the commencement of trade between them, we need to compare their relative costs of producing each good and determine which country has a comparative advantage in producing each good. The relative cost of producing a good is measured by the opportunity cost of producing that good, which is the amount of the other good that could have been produced with the same amount of resources (labor units in this case).
Therefore, the range of prices between which the two countries show profits after the commencement of trade between them is: 0.5 < P/Q < 0.75 Within this range, both countries can gain from trade by specializing in the production of the good in which they have a comparative advantage and trading for the other good.
  • Explanation for step 3
For Country A: The opportunity cost of producing one unit of good I is 2/1 = 2 units of good II. The opportunity cost of producing one unit of good II is 1/2 = 0.5 units of good I. For Country B: The opportunity cost of producing one unit of good I is 3/4 = 0.75 units of good II. The opportunity cost of producing one unit of good II is 4/3 = 1.33 units of good I. From the above, we can see that Country A has a comparative advantage in producing good I (lower opportunity cost), while Country B has a comparative advantage in producing good II (lower opportunity cost). To determine the range of prices between which the two countries show profits, we need to consider the terms of trade, which is the exchange ratio of the two goods in international trade. The terms of trade must lie between the opportunity cost ratios of the two countries. Suppose the price of good I is P and the price of good II is Q. Then the terms of trade can be expressed as P/Q. For Country A, the minimum price ratio that would make it profitable to trade is 0.5 (the opportunity cost of producing good II). If the terms of trade are more favorable (i.e., P/Q > 0.5), then Country A would specialize in producing good I and export it in exchange for importing good II. For Country B, the minimum price ratio that would make it profitable to trade is 0.75 (the opportunity cost of producing good I). If the terms of trade are more favorable (i.e., P/Q < 0.75), then Country B would specialize in producing good II and export it in exchange for importing good I. Opportunity Cost Of Producing Good Assignment Paper
Step 4/4
To find the distribution of gains from trade between the two countries, we need to compare their relative production efficiencies in the two goods and determine the terms of trade (the price ratio of the two goods) that will allow both countries to gain from trade.
First, let's calculate the labor productivity of each country in each good. This is done by dividing the quantity of each good that can be produced with one hour of labor, i.e., Good 1 output per hour of labor and Good 2 output per hour of labor:
  • Explanation for step 4
Country A: Labor productivity of Good 1 = 1/aLIA = 1/1 = 1 unit/hour Labor productivity of Good 2 = 1/aLIIA = 1/2 = 0.5 unit/hour Country B: Labor productivity of Good 1 = 1/aLIB = 1/4 = 0.25 unit/hour Labor productivity of Good 2 = 1/aLIIB = 1/3 = 0.33 unit/hour Next, let's construct the production possibility frontiers (PPFs) for each country, which show the maximum amounts of each good that can be produced given their resources and technology. The PPF for Country A is shown in the following graph, where the slope of the curve at any point represents the opportunity cost of producing one good in terms of the other good: Opportunity Cost Of Producing Good Assignment Paper
| / 50 | / PPF_A | / 25 | / |/ /--------- 100 25 50
| / 80| / PPF_B | / 40| / /--------- 321 80 160
We can see that Country A has an absolute advantage in producing both goods since it has a lower labor cost for each good. However, it has a comparative advantage in producing Good 1 since it has a lower opportunity cost (1/2 unit of Good 2 foregone for each unit of Good 1 produced), while Country B has a comparative advantage in producing Good 2 (3/4 unit of Good 1 foregone for each unit of Good 2 produced). To determine the terms of trade that will allow both countries to gain from trade, we need to find the price ratio of the two goods that lies between the opportunity costs of the two countries. That is, the terms of trade should be such that Country A can trade Good 1 for more than 1/2 unit of Good 2 (its opportunity cost of producing Good 1) and Country B can trade Good 2 for more than 3/4 unit of Good 1 (its opportunity cost of producing Good 2). One such price ratio that satisfies this condition is P I / PII = 1/2.

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Final answer
Assuming that before trade, each country consumes what it produces, the initial consumption bundle of Country A is (50, 25) (50 units of Good 1 and 25 units of Good 2), and that of Country B is (40, 80) (40 units of Good 1 and 80 units of Good 2). If the terms of trade are P I / PII = 1/2, then Country A will want to trade some of its Good 1 for Good 2, while Country B will want to trade some of its Good 2 for Good 1.
Suppose that after trade, Country A and Country B agree to trade 20 units of Good 1 for 20 units.
You can find conclusion of each point in their respective step Opportunity Cost Of Producing Good Assignment Paper

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