The effect on PPF for Wheat and cloth if the supply of capital falls by 10% and the supply of labor increases by 10%. Concept Introduction: The resources in the economy are scarce for the individuals as well as the economy as a whole, so it becomes important to use these resources efficiently in the production of goods and services. Efficiency in use of resources is getting the most of the available resources. The production possibility frontier is different combinations of goods that can be produced with most efficient use of resources. This means that it is a combination of goods which are between inefficient goods and unattainable goods. The production possibilities frontier curve serves as a boundary between inefficient goods and unattainable goods. If there is a change in the resources that affects both the goods on the production possibilities frontier curve, it will shift parallel to the original curve. However, if the change in resources only affects one of the products, it will bring about a change or movement along the PPF curve.

Question

Problem 2. If the consumer preference can be represented by a CES function with δ = 0.5, i.e. u(x, y) = x0.5 + y0.5. Let the prices and income be (px, py, w). 1. Set up the Lagrangian expression.2. Take the first-order conditions.3. Substitute into budget constraint to derive the optimal consumption bundles.

Answer 1

Question

Chapter 2, Problem 3.6PA

To determine

The effect on PPF for Wheat and cloth if the supply of capital falls by 10% and the supply of labor increases by 10%.

Concept Introduction:

The resources in the economy are scarce for the individuals as well as the economy as a whole, so it becomes important to use these resources efficiently in the production of goods and services. Efficiency in use of resources is getting the most of the available resources. The production possibility frontier is different combinations of goods that can be produced with most efficient use of resources. This means that it is a combination of goods which are between inefficient goods and unattainable goods. The production possibilities frontier curve serves as a boundary between inefficient goods and unattainable goods.

If there is a change in the resources that affects both the goods on the production possibilities frontier curve, it will shift parallel to the original curve. However, if the change in resources only affects one of the products, it will bring about a change or movement along the PPF curve.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

Problem 2. If the consumer preference can be represented by a CES function with δ = 0.5, i.e. u(x, y) = x0.5 + y0.5. Let the prices and income be (px, py, w). 1. Set up the Lagrangian expression.2. Take the first-order conditions.3. Substitute into budget constraint to derive the optimal consumption bundles.

1. A town relies on four different sources for its non-drinking water needs: dam water, reclaimed water, rain water, and desalinated water. The different sources carry different risks and costs. For instance, desalinated water is fully reliable due to abundant sea water, but it is more expensive than other options. Reclaimed water also has relatively lower risk than rain or dam water since a certain amount can be obtained, even during the dry. season, by the treatment of daily generated waste water. Using any of the four options requires an investment in that resource. The return on a particular water source is defined as the amount of water generated by the source per dollar of investment in it. The expected returns and standard deviations of those returns for the four water sources are described in the following table: Water resource Expected return St. Deviation Dam water 2.7481 0.2732 Reclaimed water 1.6005 0.0330 Rain water 0.5477 0.2865 Desalinated water 0.3277 0.0000 Higher…

1. Imagine a society that produces military goods and consumer goods, which we'll call "guns" and "butter." a. Draw a production possibilities frontier for guns and butter. Using the concept of opportunity cost, explain why it most likely has a bowed-out shape. b. Show a point that is impossible for the economy to achieve. Show a point that is feasible but inefficient. c. Imagine that the society has two political parties, called the Hawks (who want a strong military) and the Doves (who want a smaller military). Show a point on your production possibilities frontier that the Hawks might choose and a point the Doves might choose. d. Imagine that an aggressive neighboring country reduces the size of its military. As a result, both the Hawks and the Doves reduce their desired production of guns by the same amount. Which party would get the bigger "peace dividend," measured by the increase in butter production? Explain.