Lana's utility function is U(X,Y) = X0.25Y0.75, where good X is shown on the horizontal axis and good Y is shown on the vertical axis. What is the slope of her indifference curve when X = 1 and Y = 6?

Lana's utility function is U(X,Y) = X0.25Y0.75, where good X is shown on the horizontal axis...
Brittany's utility function is U(X,Y) = X0.5Y0.5, where good X is shown on the horizontal axis and good Y is shown on the vertical axis. What is the slope of her indifference curve when X = 1 and Y = 6?
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 e) On a graph with x on the horizontal axis and y on the vertical axis, draw a typical indifference curve (it is not exactly to scale, but it needs to reflect accurately whether there is a diminishing MRS x,y). Also, indicate on your graph whether the indifference curve will intersect either or both exes. label the curve U1. f) on the same graph draw a second indifference curve...
Consider the following 3 utility functions with good x and good y: ? ?(?, ?) = (?^2)*sqrt(?), ? ?(?, ?) = 2? − (1/2)?, ? ? (?, ?) = 4 ln ? + ln ? a. Find Marginal Utility (MUx and MUy) for each these utility functions. b. Is assumption that more is better satisfied for both goods in all of these utility functions? If not, specify for which function(s) and for which good(s) it is not satisfied. c. Does...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 a) Is the assumption that more is better satisfied for both goods b) Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x? Explain. c)What is MRS x,y? d) Is MRS x,y diminishing, constant, or increasing as the consumer substitutes x for y along an indifference curve? e) On a graph with x on the horizontal axis and y on the vertical...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 a) Is the assumption that more is better satisfied for both goods b) Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x? Explain. c)What is MRS x,y? d) Is MRS x,y diminishing, constant, or increasing as the consumer substitutes x for y along an indifference curve? e) On a graph with x on the horizontal axis and y on the vertical...
Assume good X is on the horizontal axis, and good Y is on the vertical axis. If a consumer's budget constraint has a slope that is less than -1: O the price of good X is greater than the price of good Y. O the consumer gets more utility from good X than from good Y. O the price of good X is less than the price of good Y. O the consumer gets less utility from good X than...
Mustapha’s utility function is as follows: U = 10x0.8 y0.6 Budget constraint: 100 = 6x + 4y a. Solve for the utility-maximizing bundle b. Find the equation of the indifference curve that contains the utility-maximizing bundle. c. Sketch the solution, labeling all relevant items, x on the horizontal axis and y on the vertical axis. d. At the utility-maximizing bundle, what is the increase in Mustapha’s utility from the last dollar spent on good X? What about for good Y?...
2. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U = 4x0.5y 0.5 The current prices of X and Y are $25 and $50, respectively. Janice currently has an income of $750 per time period (Put X on the horizontal axis and Y on the vertical axis). a) Is the assumption that "more is better” satisfied for both goods? b) Calculate MRSxy. Determine if it is diminishing for this utility function. c)...
Suppose a consumer views two goods, X and Y, as perfect complements. Her utility function is given by U = MIN [2X, Y]. Sketch the graph of the consumers indifference curve that goes through the bundle X = 7 and Y = 8. Put the amount of Y on the vertical axis, and the amount of X on the horizontal axis. Which of the three assumptions that we made about consumer preferences is violated in this case?
The weekly utility function of a consumer is: U = 2AB where A and B are two goods in the consumer’s consumption bundle. Based on this utility function the marginal utility of good A is: MUA = 2B and the marginal utility of good B is: MUB = 2A, where A and B represent the quantities of good A and good B, respectively. The price of good A is $5 whereas the price good B is $10. a. Write the...