Draw the consumer’s budget constraint and indicate the consumer’s optimal bundle on the budget constraint. Make sure your graph is accurate and clearly labeled.
See diagram in the pic attached here.
Note that slope of budget line is - Px/Py = - 1/2 and slope of Indifference curve is MRS=-2/3 .So, IC is steeper than budget line
If you have any doubt feel free to ask.
Draw the consumer’s budget constraint and indicate the consumer’s optimal bundle on the budget constraint. Make...
2) (18 points) For each of the following situations, draw the consumer's budget constraint and indicate the consumer's optimal bundle on the budget constraint. Make sure your graph is accurate and clearly labeled. a) U(X,Y)-X14Y34. The consumer has $24 to spend and the prices of the goods are Px S2 and Py S3. Note that the MUx-(1/4)X-3*Y34 and the MUy (3/4)X14Y-14. b) U(X,Y)-MIN(5X,Y). The consumer has S24 to spend and the prices of the goods are Px S3 and Py...
2) (18 points) For each of the following situations, draw the consumer's budget constraint and indicate the consumer's optimal bundle on the budget constraint. Make sure your graph is accurate and clearly labeled. a) U(X,Y)-X1"Y34. The consumer has S24 to spend and the prices of the goods are Px - S2 and Py S3. Note that the MUx-(1/4)X-3*Y34 and the MUy (3/4)X14Y-14. b) U(X,Y) MIN(5X,Y). The consumer has S2 4 to spend and the prices of the goods are Px...
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also, the consumer has $72 to spend, and the price of Good X, PX = $4. Let Good Y be a composite good whose price is PY = $1. So on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. a) (2 points) How much X and Y...
4) A consumer’s utility function is u(x, y) = min{x, 3y} (a) Find the consumer’s optimal choice for x, y as functions of income I and prices px,py. (b) Sketch the demand curve for y as a function of other price px when py = 10, I = 100. Suggestion: a picture showing the budget set, optimal choice and indifference curve. (I need help with the sketching which is the second part)
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
2) A consumer’s utility function is u(x,y)=-1/3x^3 - 1/y (a) Find the consumer’s optimal choice for x as a function of income I and prices px,py.
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...
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...