Suppose U = x11/3 x22/3 . The prices are initially (2, 4) and has an income of 120. Then the price of good 1 decreases to 1. What is CV? What is EV?
Suppose U = x11/3 x22/3 . The prices are initially (2, 4) and has an income of...
Marvin has a Cobb-Douglas utility function, U=q20.5920.5 his income is Y = $500, and initially he faces prices of P1 = $1 and P2 = $4. If p1 increases from $1 to $4, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ . (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ U. (Enter...
Marvin has a Cobb-Douglas utility function, U=9,0.5920.5, his income is Y = $900, and initially he faces prices of p1 = $1 and P2 = $2. If p, increases from $1 to $2, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ 1. (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ . (Enter...
Suppose an individual’s utility function is u=x11/2, x21/2. Let p1=4, p2=5, and income equal $200. With a general equation and general prices, derive the equal marginal principle. Graphically illustrate equilibrium and disequilibrium conditions and how consumers can reallocate their consumption to maximize utility. What is the optimal amount of x1 consumed? What is the optimal amount of x2 consumed? What is the marginal rate of substitution at the optimal amounts of x1 and x2? As functions of p1, p2, and...
5. Suppose that each consumer has the Cobb-Douglas utility function u:(X1i, X2i) X11 X21-4. In addition the endowments are wi=(1,2) and w2=(2,1). What should be the vector of prices (pı", p2') in order to achieve equilibrium (supply-demand). [Note use an increasing transformation of the utility functions given by a In Xii+(1-a) In X2i] . . following utility functions:
Suppose that a consumer has a utility function given by u(x1, x2) = 2x1 + x2. Initially the consumer faces prices (2, 2) and has income 24. i. Graph the budget constraint and indifference curves. Find the initial optimal bundle. ii. If the prices change to (6, 2), find the new optimal bundle. Show this in your graph in (i). iii. How much of the change in demand for x1 is due to the substitution effect? How much due to...
Suppose a consumer has income of $120 per period and faces prices pX = 2 and pZ = 3. Her goal is to maximize her utility, described by the function U = 10X0.5Z0.5. Calculate the utility maximizing bundle (X* , Z* )
A consumer has income M, and faces prices (for goods 1 and 2) p1 and p2. For each of the following utility functions, graphically show the following: (i) the Slutsky substitution and income e⁄ects when p1 decreases. (ii) the Hicks substitution and income e⁄ects when p1 decreases. (iii) the Marshallian and Hicksian demand curves for good 1: (a) perfect complements: U(x1 , x2) = min {4x1, 5x2} (b) quasi-linear: U(x1 , x2) = x^2/3 1 + x2
2. [Theory] In this question, we'll calculate CV and EV for a simple fall in prices. WRITE YOUR FINAL ANSWERS IN THE TABLE BELOW. THE TA WILL NOT GIVE MARKS IF THE FINAL NUMERICAL ANSWER IS NOT ON THE TABLE Part Item Value (2 decimal places) C. d. e. cV Xev Yev lev EV nd Consider the following situation. There are two goods, X and Y. Good X costs p per unit, a good Y is our numeraire and costs...
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of good 1 and good 2 are p1 = P2 = 4. The consumer's income is m = 120. (a) Find the consumer's preferred bundle. (b) Draw the consumer's budget line. (c) On the same graph, indicate the consumer's preferred bundle and draw the indifference curve through it. (d) Now suppose that the consumer gets a discount on good 1: each unit beyond the 4th...
Consider the utilityfunction u(x1,x2) = 2lnx1+lnx2. Initially, the prices are p1 = $2 and p2 = $1 per unit. The consumer has an income of $18. Then, the price of good x1 increases to p'1 = $3 per unit. State the consumer's maximization problem and use this problem to derive his demand functions for the two goods. Determine whether the two goods are ordinary or Giffen. Determine whether the demand functions for the two goods are elastic, inelastic or unit...