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- Why is the consumer’s MRS equal to the price ratio at the optimal consumption point? Givea graphical interpretation of this fact in XY space (hint: what do we know about the indifferencecurves and the budget line?).For a rational consumer who has to choose between two goods in the context of budget constraints, the price change of one of the goods, ceteris paribus (i.e the other things remain the same) will determine: Wählen Sie eine Antwort: a parallel shift of the budget line to the right a parallel shift of the budget line to the left a change in the slope of the budget line no change in the budget line: Given that Rhumbi's budget line is 25=1/4 Cake +Tea and the price of tea is R10. What is Rhumbi's income and price of cake?
- Claire has the following utility function: ??(??, ??) = ??1/2??1/2 and faces the budget constraint: ?? = ?????? + ??????. Suppose ?? = 120, ???? = 1 and ???? = 4. Find the optimal ??and ??When the price of one'good Increases and the price of the other goot and income are held constant, the budget line Select one: rotates so that the intercept is farther from the origin on the axis representing the good that has experienced an increase in price shifts parallel to the original budget line so that the new budget line is closer to the origin b. rotates so that the intercept is closer to the origin on the axis representing the good that has experienced an increase in price C. d shifts parallel to the original budget line so that the new budget line is farther from the origin CLEAR MY CHOICEAssume that a person's vitility function is given Assume by the following function. TU = 2x¹¹2,¹/2 also that the price of x is 22 and the price of is 26 and that the budget is 2240. what is the optimal amount of goods x and that should be purchused with this budget? of y у
- Q.7 A consumer's utility function is given by the expression: & = (0.6.x"s + 9.47"s}. Determine the marginal utility functions for each commodity. Does marginal utility decrease when consumption increases? Assuming that the price of good X is Rs 15 and the price of Y is Rs 6, write the equation of the budget line and plot it when income is Rs 450. What is its slope? What does it indicate? Calculate the marginal rate of substitution of Y for X. and interpret its economic meaning. Write the equation showing consumer's equilibrium condition. Obtain the equilibrium values of X and Y. Find the expressions for change in MUx due to increase in Y and change in MUy due to increase in X.Harry consumes 2 goods, X and Y and he spends N$60 per month. The price of good X is N$4 and the price of good Y is N$10. Harry's utility function is U(X, Y) = XY. (i) What is Harry's marginal rate of substitution? (5) (ii) What is the expression for Harry's budget constraint? (3) (iii) What is the slope of Harry's budget constraint? (2) (iv)Find the values of good X and Y maximizes Harry's utility. Show all your work. (6) (v) Illustrate Harry's utility maximizing combination on a clearly labelled graph. (4) (vi) Suppose the price of good X increased to N$6. Illustrate Harry's income and substitution effects on a well labelled graph. Show your work. (10) (vii) Suppose Genie is consuming two goods, coffee and beer. She spends all her income on a combination of coffee and beer where MUcoffee/Peoffee is 5 and MUbeer/Pbeer is 3. Explain why this combination is not maximizing her satisfaction. What should she do to maximize her utility? (5)0.8 A consumer's utility function is given by the expression: U = (0.6X0.5 +0.4Y0.5) ². Determine the marginal utility functions for each commodity. Does marginal utility decrease when consumption increases? Assuming that the price of good X is Rs 15 and the price of Y is Rs 6, write the equation of the budget line and plot it when income is Rs 450. What is its slope? What does it indicate? Calculate the marginal rate of substitution of Y for X and interpret its economic meaning. Write the equation showing consumer's equilibrium condition. Obtain the equilibrium values of X and Y. Find the expressions for change in MUx due to increase in Y and change in MUy due to increase in X.
- A decrease in the price of good Y will have what effect on the budget line on a normal X-Y graph? Select one: OA. Parallel outward shift of the line OB. Parallel inward shift of the line OC. Decrease the horizontal intercept COD. Increase the vertical interceptDefine the Marginal Rate of Substitution between two goods (X and Y).If a consumer’s preferences are given by U(X,Y) = X1/4Y 3/4, compute the consumer’s marginalrate of substitution as a function of X and Y. Calculate the MRS if the consumer has chosen toconsumer 12 units of X and 30 units of Y.Anna has an income of 1000 euros and utility function U(x,y)=x²y³. The prices of the two goods are P₁=5 and Py-20. a) Define the budget constraint and represent it graphically. (
