Joe's indifference map for lobster (L) and soda (S) is shown in Figure 4.9 below along with his budget line. Will Joe choose point a? Explain your answer in terms both of MRS and the level of utility.
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Joe's indifference map for lobster (L) and soda (S) is shown in Figure 4.9 below along with his budget line. Will Joe choose point a? Explain your answer in terms both of MRS and the level of utility.
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- Q5. Jason has preferences defined over novels (good x) and DVDs (good y) described by the utility function U(x,y)= x2y2. He has an income of $120; novels cost $5 each, while DVDs are priced at $15 each. [Hint: MUx=2xy2, MUy=2x2y] a) Sketch Jason's budget constraint, indifference curves and the interior solution in a graph. b) Calculate Jason's optimal consumption bundle, and his maximized utility level. Suppose the price of novels increases to $7.5, while the price of DVDs and income are unchanged. c) Calculate his new optimal bundle, show it in the same graph from a), and interpret the Marginal Rate of Substitution (MRS) at this new optional bundle (point).Yungin always gets twice as much satisfaction from an extra burger as he does from an extra Boost juice. Draw (for yourself) three indifference curves for him on a graph - passing through the bundles (2 juices, O burgers), (4 juices, O burgers) and (5 juices, O burgers) respectively. Qburgers 3 2 5 Qjuice The graph above includes two budget lines with different slopes to help you answer the following question. Which conclusions can you draw about Yunqin's utility maximising choices? Select all that applies. 01 2 3 Yungin would never consume both burgers and juice at the same time Yungin always consumes only juice if Yungin' budget line is flatter than his indifference curves, then he consumes only juice if the ratio of the price of burger to the price of juice is smaller than 2, then Yunqin consumes only burgersEmily is a utility maximizer. Her income is $100, which she can spend on cafeteria meals and on notepads. Each meal costs $5 and each notepad costs $2. At these prices Emily chooses to buy 16 cafeteria meals and 10 notepads. a) Draw a diagram that shows Emily’s choice using an indifference curve and her budget line, placing notepads on the vertical axis and cafeteria meals on the horizontal axis. Label the indifference curve, I1, and the budget line BL1. Make sure you calculate the endpoints of the budget constraint. b) The price of notepads falls to $1; the price of cafeteria meals remains the same. On the same diagram, draw Emily’s budget line with the new prices and label it BL2. c) Lastly, Emily’s income falls to $90. On the same diagram, draw his budget line with this income and the new prices and label it BL3. Is she worse off, better off, or equally as well off with these new prices and lower income than compared to the original prices and higher income?
- Troy has preferences for laptops (L), and drones (D). Laptops costs $750 a unit and drones costs $2000 a unit. Troy has $15000 to spend on both goods. 1. It is known that the indifference curve is convex. What does this tell you about the relationship between the goods?Amy consumes x and y and her preferences can be represented by the following utility function U(x,y) = 4x + y. 1. Are Amy's preferences transitive? 2. Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x? Explain. 6- 3. Can you use (2) to answer whether Amy's preferences are strictly monotonic? 4. What is MRS.y ? Is MRSx.y diminishing, constant, or increasing as the consumer substitutes x for y along an indifference curve? 5. On a graph with x on the horizontal axis and y on the vertical axis, draw a typical indifference curve. Also indicate on your graph whether the indifference curve will intersect either or both axes. Label the curve U1. 6. Are Amy's preferences convex? Are they strictly convex? ExplainTessa likes both ice-creams and pies. However, if she eats too much of them, she gets sick. That is, cating ice-creams or pics beyond a certain amount lowers Tessa's utility. Draw a set of indifference curve which might represent Tessa's preferences for ice-creams and pies.
- 2 Indifference curves Suppose an individual who derives utility u(x, y) from consuming a units of good X and y units of good Y. Derive the indifference curve for a level of utility U for each of the following utility functions. Draw them in the graph below for a utility level U = 18. (A) u(x, y) = 2x + 3y (B) u(x, y) = min{3x, y} (C) u(x, y) = xyJohn has a utility function for chocolates (x) and candy (y) which is represented by u(x,y)=xy. Suppose that his income is 1000 TL and the prices of the goods are Px=10 TL and Py =5 TL. Now suppose that the price of chocolate decreases to Px=8 TL. Find the substitution effect and income effect, on chocolate, of this price change.Donald derives utility from only two goods, carrots (X) and donuts (Y). His utility 0.1 0.9 function is as follows: U(X,Y) =X Y Donald has an income (M) of $900 and the price of carrots (P,) and donuts (P,) are $45 and $90 respectively Based on this information, what does the slope of the indifference curve for Donald tell us. Select one: A. For each additional quantity of carrot consumed, Donald must give up 0.25 of donuts to maintain the same level of satisfaction B. For each additional quantity of donuts consumed, Donald must give up 1/2 of carrots to maintain the same level of satisfaction C. For each additional quantity of carrot consumed, Donald must give up 1/2 of donuts to maintain the same level of satisfaction D. For each additional quantity of carrot consumed, Donald must give up 1/9 of donuts to maintain the same level of satisfaction E. For each additional quantity of donuts constumed. Donald must give up 1/2 of carrots to maintain the same level of satisfaction. F. For…
- Charlie has the utility function U(xA, xB) = xAxB. His indifference curve passing through 35 apples and 18 bananas will also pass through the point where he consumes 5 apples and Select oneWhen plotted Sarah's indifference curve for coffee and tea reveals parallel indifference curves that always have a slope of -1. Suppose that Sarah's budget constraint is 20 -1.5C+1.0T where C is the quantity of coffee and T is tea. If Sarah wants to maximize utility, she will buy: a) equal amount of coffee and tea b) coffee only c) tea only d) more coffee than tea e) a combination of coffee and tea cannot be determined from the information givenSuppose that the only items you consume are bread and wine. If the price of bread were to increase tomorrow, and if simultaneously your income were to increase by just enough so that you were equally as happy tomorrow as today, what would happen to the level of your consumption of bread ? Illustrate your answer with indifference curves