Suppose an indifference curve is given by the equation U=2*C*T. Assume that initially the consumer owns the bundle C = 20, T = 2. What is the Utility value along this indifference curve? Show your calculations! Other than point, (C, T) = (20, 2), list 3 other points on this indifference curve. Graph the indifference curve including the point (C, T) = (20, 2) and the 3 points you listed in part b. Place T on the vertical axis and C on the horizontal axis. Make sure to label the axes, the indifference curve, and the 4 points on the indifference curve.What is the slope of this indifference curve between C=19 and C=20? Show your calculations!
U=2*C*T=2*20*2=80
Equation of IC curve with U=80
40=C*T
Let C=10. ,T=4
C=5. ,T=8
C=4 ,T=10
Slope of indifference between C=19 and C=20 is change of quantity of T to maintain same utility level.
80=2*19*T
T=40/19
∆T=2-40/19=(38-40)/19=-2/19=-0.105
Slope of IC between C=19 and C=20 is -0.105
Suppose an indifference curve is given by the equation U=2*C*T. Assume that initially the consumer owns...
4. Suppose that Noah's utility function is given by (a) Draw an indifference curve that goes through the bundle (2,2), where xi is on the horizontal axis and z2 is on the vertical axis. (b) Draw another indifference curve that goes through the bundle (3, 3) on the same diaram as (a). Label carefully. (c) What kind of preference does Noah have about the two goods?
Question 16 1 pts A typical indifference curve is negatively sloped because: as we consume more of one good, we are willing to give up the consumption of another good without changing our utility higher indifference curves represent higher levels of utility higher indifference curves represent lower levels of utility we assume that a consumer's income is constant Question 17 1 pts A typical indifference curve: O is convex to the origin (bowed in) has a constant slope is concave...
Please complete with steps. Thank you Q2) (based on textbook problem 3.19) Consider the utility function 2va +3/ a) Find MU and MUy b) Is the assumption that more is better satisfied for both goods? c) Does the marginal utility of each good diminish, remain constant, or increase as the consumer buys more? d) What is MRS Is it diminishing, constant, or increasing as the consumer sub- e) On a graph with a on the horizontal axis and y on...
Ambrose has indifference curves with the equation x2=constant-4x11/2, where larger constants correspond to higher indifference curves. If good 1 is drawn on the horizontal axis and good 2 on the vertical axis, what is the slope of Ambrose's indifference curve when his consumption bundle is (16,10) a.-0.50 b.-16/10 c.-10/16 d.-14 e.-4
Q2) (based on textbook problem 3.19) Consider the utility function 2Vx +3v/y a) Find MU and MU b) Is the assumption that more is better satisfied for both goods? c) Does the marginal utility of each good diminish, remain constant, or increase as the consumer buys more? d) What is MR.Sa,y? Is it diminishing, constant, or increasing as the consumer sub- stitutes x for y along an indifference curve? e) On a graph with r on the horizontal axis and...
2. (24 points) Suppose a consumer has preferences represented by the utility function U(X,Y)- X2Y Suppose Py, and the consumer has $300 to spend. Draw the Price-Consumption Curve for this consumer for income values Px-1, Px 2, and Px- 5. Your graph should accurately draw the budget constraints for each income level and specifically label the bundles that the consumer chooses for each income level. Also, for each bundle that the consumer chooses, draw the indifference curve that goes through...
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...
If pA = $10, PB = $5,Y = $75, where p is the price of a good, A and B are goods, and Y is income. Given that the utility function is U = 25A2B, determine the optimal bundle of x and yfor this consumer. Be sure to show your work and box your answers. a) Solve for the marginal utility of A and the marginal utility of B b) Solve for the relationship (trade-off) between A and B c)...
Suppose a consumer has budget of $120 per week to spend on food. Consumer can choose to eat at restaurants (R), in which case he spends about $20 per meal (P $20), or spend his money on All-Other-Food (PAOP $1) 2. a. Ilustrate consumer's budget line. Plot R on the horizontal axis. b. If consumer's utility function is U-R AOF, what will be his optimal bundle? What would be the value of his utility at optimal bundle? How much money...
Consider a consumer in a two commodity world whose indifference map is such that the slope of the indifference curves is everywhere equal to -(Y?X), where Y is the quantity of good Y measured along the vertical axis, and X is the quantity of good X measured along the horizontal axis. a. what is the value of the optimum Marginal Rate of Substitution for this consumer, given that the price of X is $1, the price of Y is $3...