30. If the consumer has only $8 to spend, what would be the optimal consumption of both goods for this consumer? a. 4 colas and 2 burgers. O b. 5 colas and 1 burger. O c. 2 colas and 3 burgers. O d. 4 colas and 4 burgers.
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- If people do not have a complete mental picture of total utility for every level of consumption, how can they find their utility-maximizing consumption choice?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.Give typing answer with explanation and conclusion Suppose that a consumer's utility function is U=x^5*y^3*z^3, where x is the consumption of mineral water, y is the consumption of soda and z is the consumption of pizza. The consumer has 2000 Euros while the price of mineral water is 15, the price of soda is 55 and the price of pizza is 30 Euros. How much/many soda does the consumer buy?
- Devon's utility function can be written as ?1^0.50?2^0.50, where ?1 is the quantity of hamburgers consumed and x2 is the quantity of milk shakes. His income is $2,400.00. 1) Hamburgers cost $8.00 each and the price of one milk shake is $4.00. If he is maximizing his utility, how much will Devon spend on hamburgers? $ 2)The price of hamburgers decreases to $7.37 each. Now, how much will Devon spend on hamburgers if he is maximizing his utility? $Assume that you have a budget of Taka 4000 that can spend on two goods like: coke and burger. Suppose coke costs Taka 100 per unit and burger costs 400 per unit. Suppose also that your utility function is given by the equation U(B, C) = 20BC. Write your budget equation. What combination of coke and burger should you buy to maximize utility?I like drinking Smirnoff and Stoli Vodka, but I really only careabout the total amount of alcohol I get out of it. They areperfect substitutes. Smirnoff is sold in liter bottles that are100 proof (that’s 50% alcohol). Stoli is sold in liter bottlesthat are 80 proof (40% alcohol). What is my utility functionfor bundles of these two vodkas? What do my indifferencecurves look like?
- A consumer has utility u(x,y) = x^4 y^2 where x is this year’s consumption, and y is next year’s consumption. She makes 600 dollars income this year and 720 dollars income the next year. There is also a bank where she can borrow money at the interest rate r=%50 and lend money (to the bank) at the interest rate r=%20 (of course, she will decide to borrow or lend this year and pay off her debt or receive her savings the next year). a. Should she borrow money from or lend to the bank this year? How much b. If her utility were u(x,y) = xy2 instead, re-solving (a), would she borrow money or lend? How much? c. If her utility were u(x,y) = x^c y^2, what should “c” be so that she ends up neither borrowing nor lending?Megan is a college student who consumes food and transportation. Last year, she consumed 90 meals and purchased 100 gallons of gasoline per month. Suppose that last year the price of a meal was $5 and the price of a gallon of gasoline was $2.23. However, this year, the price of a meal is $6 and the price of a gallon of gasoline is $3.92. As a result, Megan consumes 100 meals and 80 gallons of gasoline. For this example, assume Megan's utility this year is the same as her utility last year (and that her preferences have not changed). Calculate a Laspeyres cost-of-living index for Megan using 100 as the base for last year. In particular, the Laspeyres index for this year is nothing. (Enter your response rounded to two decimal places.)A consumer has utility u(x,y,z)= ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pZ = 1 . Optimally sheconsumes 30 units of z. What is her income? How much money does she spend on x?(HINT: MUX =??, MUY =??, MUZ =??and remember the “equivalent bang for the buck” condition)(b) Forget about (a). Suppose you have t = 29 hours in total to spend on 3 projects X, Y and Z to make some money.If you spend x hours on project X, you make 2√? dollars;If you spend y hours on project Y, you make ?√? dollars;If you spend z hours on project Z, you make ?√? dollars;Writing down your “utility function” u(x,y,z) and the constraint, solve the utility maximization problem; what isthe optimal amount of time to spend on x ? on y? on z ?
- Given an individual’s current consumption patterns, we know that the person is consuming in such a manner that he is maximizing his satisfaction. Given a decrease in the price of one of the goods he normally purchases, what will happen to the consumer’s total satisfaction and to the marginal utilities connected with the consumption of this particular good. a) His overall satisfaction will increase, but his satisfaction from the last unit consumed of the good with a decreased price will decrease. b) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will decrease. c) His overall satisfaction will increase and his satisfaction from the last unit consumed of the good with a decreased price will increase. d) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will increase. e) We cannot tell about the changes in his total utility or his marginal…7. A consumer has preferences for coffee and pancakes that are complete, continuous, transitive, monotonic, and convex. At her current consumption bundle on the budget line, you could take away a maximum of 2 cups of coffee if you give her 5 extra pancakes without changing her utility. The price of a cup of coffee is $4, and the price of a pancake is $1. Assume you graph pancakes on the X-axis and coffee on the Y-axis. At the current consumption bundle, the bang per buck is higher for pancakes than coffee, and the consumer’s indifference curve is flatter than her budget line. a. True b. False Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.EXERCISE 5 Loise spends £20 on tea (T) and coffee (C). Her preferences for these goods can be described by the following utility function: ( , ). Suppose that one cup of tea costs £1.60 while one cup of Loise’s favourite coffee costs £4.00. Find Loise’s optimal consumption bundle. Provide both algebraic and graphical solution. Explain your reasoning. Discuss how Loise’s optimal consumption choice would change when her disposable budget changes. If the price of tea increases to £2.00 per cup, how should the price of coffee change so that Loise can be as well off as before this change in prices? Discuss the implications of the price change from c) on Loise’s optimal choice. In your discussion, include the analysis of the substitution and income effects as well as Loise’s demand for tea and/or coffee.