Question

formula 2x+2y The production possibilities curve for an economy is given by the 150, where x and y are quantities of produced goods, while the tility function in this economy is U(x.y) xy The utility level in a competitive equilibrium will be:

0 0
Add a comment Improve this question Transcribed image text
Answer #1

At the tangency of utility function and PPF, slopes are equal

2 * 2x / 2 * 2y = y / x

x^2 = y^2

Use this in PPF

2y^2 + 2y^2 = 150

y = (150/4)^0.5 = 6.1237

This also gives x = 6.1237

Hence the utility level is U = 6.1237*6.1237 = 37.5.

Add a comment
Know the answer?
Add Answer to:
formula 2x+2y The production possibilities curve for an economy is given by the 150, where x...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • General Equilibrium: Consider an economy that can produce tacos (X) and hamburgers (Y). Let the production possibilities...

    General Equilibrium: Consider an economy that can produce tacos (X) and hamburgers (Y). Let the production possibilities frontier (PPF) be Y2 = 100-4X2 (Eq. 1) or, equivalently ? = √100 − 4?2 (Eq. 2) (for positive values of tacos and hamburgers). This means that the rate of product transformation (RPT), the number of hamburgers that must be given up to get one more taco along the PPF, is − ??/?? = 4?/(√100−4?2) a. Suppose initially that the price of X...

  • Assume an economy with only two commodities. The production possibilities curve of this economy shows: a....

    Assume an economy with only two commodities. The production possibilities curve of this economy shows: a. all possible combinations of the two commodities that can be produced by utilizing all of the society's resources. b. all possible combinations of the two commodities that a given person can buy. c. all possible combinations of the two commodities that a given person wants. d. all possible combinations of the two goods that the society as a whole wants. e. none of the...

  • 0 The figure given below represents the production possibilities curve for goods and services in an...

    0 The figure given below represents the production possibilities curve for goods and services in an economy 0 Figure 2.3 0 • Curvey • Curve X • • Services • cess ) O Refer to Figure 2.3. The movement from Curve X to Curve Y indicates O a contraction in the production of services OR YOU b. expansion in the ability to produce goods. Tools O c. expansion in the ability to produce services. d. contraction in the production of...

  • Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con-...

    Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x; y) = 2x+y and B's utility function is UB(x; y) = xy. A's initial allocation is 10 units of x and 0 units of y. B's initial allocation is 0 units of x and 30 units of y. (a) Put wine x on the...

  • Anything will help Consider a pure exchange economy with two goods, wine (x) and cheese (y)...

    Anything will help Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x, y) = xy and B's utility function is UB(x, y) = min [x, y). A has an initial allocation of 10 x and no y, and B has an initial allocation of 10 units of y and no x. (a) Put...

  • An economy produces two goods: capital goods and consumer goods. Points on the production possibilities curve...

    An economy produces two goods: capital goods and consumer goods. Points on the production possibilities curve appear below: 2. roduction alternatives Capital ds per period Consumer goods per period 2018 14 8 A. If the economy is producing at alternative X, the opportunity cost of producing at Y instead of X is period a. 0 C. The production of 14 units of consumer goo and 1 unit of capital goods per period would a. result in full employment b. result...

  • A firm has the production function f(x, y) = min[2x, x + 2y). On the graph...

    A firm has the production function f(x, y) = min[2x, x + 2y). On the graph below, use the line tool to draw the production isoquant for this firm where f(x, y) = 10. Make sure your isoquant extends to the edges of the graph. To refer to the graphing tutorial for this question type, please click here. Production Isoquant

  • . Consider the following one-sector, closed, representative household economy. The production technology is given by the...

    . Consider the following one-sector, closed, representative household economy. The production technology is given by the Cobb-Douglas production function where Y(t) is the output, K(t) is the capital stock, Lit) is the labor input, all at time t, 0 < a < and A(t) is the technology level at time t. Technological progress is at positive rate g. Let δ denote the depreciation rate for capital. This production function displays constant returns to scale in both K and L, hence...

  • Consider a consumer whose utility function is given by U(x, y) = x^1/3 y^2/3, where x...

    Consider a consumer whose utility function is given by U(x, y) = x^1/3 y^2/3, where x and y represent quantities of consumption of two consumer goods. (a) If the consumer’s income is $100 and the prices of x and y are both $1, how should the consumer maximize her utility? What is her maximum level of utility? (b) If the price of y rose to $2, what would be the resulting income and substitution effects? Illustrate your answer.

  • Consider an economy where the aggregate production function is characterized by the following equation: Y=2N^1/2. The...

    Consider an economy where the aggregate production function is characterized by the following equation: Y=2N^1/2. The labor supply curve is given by the following equation: Ns=8(W/P). Derive the labor demand curve and calculate the equilibrium real wage and the equilibrium level of labor.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT