QUestion attached 3. Consider the utility functionU(1, y) = min{r, 2y}Find(a) the Marshallian demand functions for r and y,(b) the indirect utility function,(c) Use the expression for the indirect utility function that your found in part (b) to findthe expenditure function and the Hicksian demand for good r. [Note: Do not answerthis question by solving the expenditure minimization problem!]

The Marshallian demand function is the ordinary demand function, a function of income and prices of…

Answered: 3. Consider the utility function U(1,…

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.8P

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Principles of Economics 1 | S1 21/22 Time left 0:5) When the price of one good increases and the price of the other good and income are held constant, the budget line Select one: shifts parallel to the original budget line so that the new budget line is farther from the origin O b. shifts parallel to the original budget line so that the new budget line is closer to the origin rotates so that the intercept is farther from the origin on the axis representing the good that has experienced an increase in price O a. O c. O d. rotates so that the intercept is closer to the origin on the axis representing the good that has experienced an increase in price Next page
Why does a change in income cause a parallel shift in the budget constraint?
Please help awnsering the following question. Thank you
1. An agent consumes quantity (X1,X2) of goods 1 and 2. Here is his utility function: U (x1,x2) = x13x2, his budget constraint is: p1x1+p2x2=m. (a) Calculate the agent's Marshallian demand (x*, x*2). (b) Derive the agent's expenditure function. (c) Roy's identity for good 1 states that: aV(pl,p2, m)/ х1* 3 дV (р1, р2, т) am Verify this equation (you need not verify it for good 2).
The expression, M = PXX+ PYY is called a budget constraint where M = amount of money available for expenditure; PX= price of commodity X; PY= price of commodity Y; PXX= expenditure on commodity X; PYY= expenditure on commodity Y. Use M = PXX+PYY to express Y as a function of X and note that the graph of this function is called a budget line. Algebraically derive: (1) the y-intercept; (2) the x-intercept. State what determines the slope of the budget line. Graph the function for M = 120; PX= 3; PY= 5 andshow what happens to the original budget line if M decreases by 25% with PX, PY constant.
Law of equi marginal utility is an important law of cardinal utility analysis. Explain this law with the help of its assumptions. Also explain the mechanism that how the total utility will be maximum at a point when the marginal utilities of both the goods become equal. Furthermore, there is a relationship between total and marginal utilities where they both pass through different stages when the consumer continues his or her consumption regularly. Describe this case briefly
20. Suppose that the price of Good X is $5, the price of Good Y is $10, and that if Mark spends all his money buying X, he can buy 40 units of X. Mark consumes both X and Y in equilibrium. (a) What is Mark's income? (b) What is the equation for Mark's budget line? (c) If at the current consumption bundle Mark's MRSxy is 1, is Mark choosing the optimal consumption bundle? 21 Ma
12. What are the mathematical steps in deriving demand and indirect utility?
urgent please
5. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U=4X05Y05 and current prices of X and Y are $25 and $50, respectively. Janice currently has an income of 750 unit per time period. a. Write an expression for Janice's budget constraint. b. Calculate the marginal rate of substitution of X for Y. (horizontal line X, vertical line Y). c. Calculate the values of X and Y that will maximize utility. d. Graph your answers (budget line, indifference curve)
2. If war breaks out in the Middle East and sugar is rationed so that Rosie is limited to purchasing only 8 units of sugar, what bundles will she consume with an income of $ 20? Did the restriction alter her consumption? Explain. What bundles will she consume with an income of $ 40? Did the restriction alter her consumption? Explain. I need help on this question
I need asnwer of D

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