Assume that a person's utility function is given by the following function: TU = 2X/2y/2 Assume also that the price of X is £2, and the price of Y is £6 and that the budget is £240. What is the optimal amount of goods X and Y that should be purchased with this budget?
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- Suppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $4.00 and $2.00 respectively. What is the marginal utility per dollar spent for the fourth burger?How does a consumer’s optimal choice of goods change if all prices and the consumer’s income double?A consumer has a utility function given by U = x0.25 y0.75 „He has an income of £100, the price of good x is £5 and the price of good y is £10. How much of the 2 goods x and y does the consumer buy?
- Suppose John decides to buy 4 units of food and 4 units of clothing with his $12 budget. Would his marginal utility per dollar spent on food be greater than or less than his marginal utility per dollar spent on clothing? What does this tell you about how he should substitute food for clothing if he wanted to increase his utility without spending any more money?Anatoly's marginal utility for DVDS (D) is MU X and his marginal utility for Xbox games (X) is MUx D. Anatoly's income is $120, the price of a DVD is $20.00, and the price of an Xbox game is $10.00. How many DVDS and Xbox games does Anatoly consume to maximize his satisfaction? Anatoly consumesDVDs andXbox games. (Enter your responses using integers.)Five consumers have the following marginal utility of apples and pears The price of an apple is $1, and the price of a pear is $2.Which, if any, of these consumers are optimizing over their choice of fruit? For those who are not, how should they change their spending?
- Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3 S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. Questions; Suppose m=100 and p=1. How much of each good does Rick consume? Draw a graph showing Rick’s budget constraint and indifference curve passing through his chosen consumption bundle. Suppose m=100 and p=2. How much of each good does Rick consume? On the same graph from part (e), show Rick’s budget constraint and indifference curve passing through his new chosen consumption bundle. On the same graph, show the (hypothetical) budget constraint that is tangent to the indifference curve from part (e) but parallel to the budget constraint in part (f). On the same graph, show the income and substitution effects of the increase in p from 1 to 2 on Rick’s consumption of Chicken McNuggets. Are Chicken McNuggets a normal or inferior good for Rick? Explain your answer. Find the…Douglas allocates his budget of $24 per week to 3 goods, cereal, books and clothing. Use the table below to answer the following question Quantity Total Utility of Cereal Total Utility of Books TotalUtility of Clothing 1 50 75 25 2 90 135 45 3 120 175 60 4 140 205 70 5 155 225 78 If the price of cereal is $2, the price of books is $3 and the price of clothing is $1, at what point does Douglas maximize his utility?Reid has the following utility function. U = 24m1/3d1/2 where U is Reid's total utility, m is the quantity of muffin consumed, and d is the quantity of doughnuts consumed. Reid has a budget of $25.00, the price of a muffin is $1.00 and the price of doughnut is $0.60. a. What is the equation for the marginal utility Reid receives from muffins? What is the equation for the marginal utility Reid receives from doughnuts? b. What is the equation for the marginal rate of substitution, MRSm,d? Is Reid's utility function subject to the law of the diminishing marginal rate of substitution? c. Reid has a $15.00 gift card that can only be used to buy doughnuts and $10.00 cash to spend on either of the two goods. The price of a doughnut is $0.60 and the price of a muffin is $1.00. Using equations, determine, determine Reid's optimal combination of muffins and doughnuts given the cash and gift card.
- True/False Marginal utility keeps falling with the each additional consumption of a good or service.Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. j. Find the amount of each good that Rick would consume if is his budget were the one found in part (i). What are the numerical values of the income and substitution effects shown graphically in part (h)?Would you expect marginal utility to rise or fall with additional consumption of a good? Why? b. Raymond consumes meatloaves and pineapples. He has decided that hismonthly budget will be $1500. Suppose that one meatloaf costs $375, while one pineapple costs $150.i. What is the expression for Raymond’s budget constraint? ii. Draw a graph of Raymond’s budget line (meatloaf on the y axis). iii. Show how Raymond’s budget line changes if the price of pineapplesincreases to $370. iv. Suppose Raymond decides to cut his monthly budget in half.Coincidentally, the next time he shops, he learns that meatloaves andpineapples are on sale for half price. Show what happens to Raymond’sbudget line? c. Shannon consumes dresses and lemonade. The price of a dresses is $10 and the price of a lemonade is $30. She is spending all her income on the two goods and her marginal rate of substitution of lemonade for dresses is 2. Is she at an optimum? Explain
