As a consumer moves away from the origin onto higher indifference curves, what happens? O A. The consumer reaches more preferred combinations of goods. B. The consumer reaches more affordable combinations of goods. C. Nothing D. The consumer reaches less preferred combinations of goods. E. None of the above because it is impossible to move from one indifference curve to another.
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- Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Assume that an individual has convex indifference curves (i.e. diminishing MRS). Suppose the individual has $3 to spend on good #1 and good #2. In addition, suppose we know that at the bundle where q1=1 and q2=1, the marginal utility of good #1 is 2 utils and the marginal utility of good #2 is 1 util. Given this information, which set of prices would this individual prefer to face? A. p1=1 and p2=2 B. p1=2 and p2=1 C. p1=2 and p2=2please only do: if you can teach explain each partc: what does it mean? can you show graphs: For these to be optimal choices with such preferences, the indifference curve through a must lie entirely on or above the budget line associated with (p, w), and simi- larly for r' for the budget line associated with (p', w'). how do you know this:Because each of these bundles lies below the other budget line, this implies that the indifference curves must cross, which is impossible. can you show graphs: note that (3,1) is a conver combination of x and x', so for conver preferences must be weakly preferred to x (the less preferred bundle between a and a'). But then the bundle (3,5/3) must be strictly preferred z, contradicting that is optimal given the initial budget set
- Given the Indifference Curve, answer the ff: 1. The following points all yield the same happiness, except 2. Which of the following points yield the highest happiness? 3. Which of the following points is outside your budget? 4. The following points cost the same, except 5. The following lies on the same indifference curve except 6. Which point yields the highest happiness?C) Draw the indifference curve associated with a utility level of 36 and the indifference curve associated with a utility level of 72. Are the indifference curves bowed in toward the origin? The utility that Ann receives by consuming food F and clothing C is given by ?(?, ?) = √?? 4 + ?. Food costs N$5.00 a unit, and clothing costs N$15.00 a unit. Ann’s income is N$1850.00What do we mean by well-behaved preferences? How do the indifference curves look like for suchpreferences? Provide an example, in terms of a utility function, where preferences are not well-behavedand illustrate. Provide a figure with indifference curves and a budget line where there are exactly twosolutions to the utility maximization problem.
- Suppose an individual has the following utility function: U(x,y)=−4(x−5.5)^2 −2(y−3.5)^2 Further assume that the price of good x, px = $6, the price of good y, py = $8 and the individual has an income m = $65 a) Draw an indifference curve (one IC is enough) that represents this person’s preferences. Please label the graph properly including values for x and y. b) Intuitively, and without formally solving, can you guess the maximized values x*and y*for the above utility function. Explain your answer. c) Derive the optimal values x*and y* by formally solving the above utility function subject to the above constraint. You can use any of the utility maximization techniques we learned in class. d) Compare your answers in parts b) and c). Based on the utility function that is given in this problem as well as the budget constraint, can you explain the differences between the answers you found in parts b) and c) (if any). Be as detailed as possible with your explanation.Suppose an individual has the following utility function: U(x,y)=−4(x−5.5)^2 −2(y−3.5)^2 Further assume that the price of good x, px = $6, the price of good y, py = $8 and the individual has an income m = $65 a) Draw an indifference curve (one IC is enough) that represents this person’s prefer- ences. Please label the graph properly including values for x and y. b) Intuitively, and without formally solving, can you guess the maximized values x* and y*for the above utility function. Explain your answer. c) Derive the optimal values x*and y*by formally solving the above utility function subject to the above constraint. You can use any of the utility maximization techniques we learned in class. d) Compare your answers in parts b) and c). Based on the utility function that is given in this problem as well as the budget constraint, can you explain the differences between the answers you found in parts b) and c) (if any). Be as detailed as possible with your explanation.a. Suppose Fiona’s income is $100 per week, which she allocates between chocolates and books. Chocolates cost $2 each. Books cost $10 each if she purchases between 1 and 5 books. If she purchases more than 5 books in a week, the price falls to $5 for the 6th book and all subsequent books. Draw the budget constraint. Is it possible that Fiona might have more than one utility-maximizing solution? b. Confirm that if a consumer’s utility function is described by U = 2X + Y, and prices are px = 2 and py = 1, there is no unique utility maximizing solution regardless of income level. What does this tell you about X and Y as commodities? (Hint: draw a graph showing a budget constraint and indifference curve using the information provided.)
- Suppose that price of one of the two goods increases while price of the other good and the total budget of the consumer kept unchanged. i) What is the consequence on the budget line and the purchasing power of the consumer? Explain logically with illustration. ii) Will the consumer be better off (be on the higher indifference curve) or worse off (be on the lower indifference curve)? iii) Show the changes in welfare in terms of income effect and substitution effectGopal is a rational consumer and consumes two goods X and Y. Is a cardinal measureof utility or satisfaction necessary in order to sketch a set of indifference curves? Whatare the main characteristics of indifference curves? On the same set of axis draw threeindifference curves showing increasing marginal rate of substitution as we move downthe indifference curve. Please answer it in little more detail as it is descriptiveAssume that a consumer faces the budget line AB and the price of X is Taka 20. All money spent after goods X enable him/her to buy 100 units while all money spent on Y enable him/her to buy 25 units of Y. Consumer’s income -----------The price of Y is Taka -------- The equation for the budget line AB is ……… What combination of X and Y does the consumer choose assuming that at utility maximum amount of X is 50 units X? Why? The marginal rate of substitution for this combination is ……………. OR: Explain the equal marginal principle and give an example.