Question 3 Question 3 Part a John has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, government gives its citizens a coupon that entitles people to 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and government charges $1 for each gallon of purchased gas. John's utility function is U(x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed, respectively. What is John's optimal consumption of milk and gas?
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- Roxanne is considering chipping in to pay for some tree trimming in her neighborhood. If the trees are trimmed, everyone's view improves by the same amount. Roxanne's utility function is given by u(x,t)=3x+1200t, where x is the amount of money she has to spend and t is a variable that equals 1 if the trees are trimmed and 0 if they are not. 1st attempt See Hint Suppose Roxanne starts with $8000. Her utility of that amount of money without the trees being trimmed is 24000 (that is, u(8000,0)=24000). Calculate her reservation price for contributing to the tree-trimming project. $True or false with reasoning: 1) _______When we claim that utility can be ordinally measured, we assume that the consumer is able to measure the total and marginal utility received when one extra unit of a commodity is consumed. 2)_______If MRS between two goods is constant, then having more of one good without having more of the other does not increase utility. 3)_______Marginal Utility increases until total utility is at a maximum and then marginal utility decreases.2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?
- Suppose that Omar’s marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second he eats, 8 for the third he eats, and so on (that is, declining by 1 util per additional doughnut). In addition, suppose that coffee costs $1 per cup, doughnuts cost $1 each, and Omar has a budget that he can spend only on doughnuts, coffee, or both. How big would that budget have to be before he would spend a dollar buying a first cup of coffee?Suppose that a fast-food junkie derives utility from three goods-soft drinks (x), hamburgers (y), and ice cream sundaes (z)− according to the Cobb-Douglas utility function U(x,y,z)=x0.5y0.5(1+z)0.5. Suppose also that the prices for these goods are given by px=1,py=4, and pz=8 and that this consumer's income is given by I=8.a. Show that, for z=0, maximization of utility results in the same optimal choices as in Example 4.1 . Show also that any choice that results in z>0 (even for a fractionalz ) reduces utility from this optimum.b. How do you explain the fact that z=0 is optimal here?c. How high would this individual's income have to be for any z to be purchased?Frank spends $75 on 10 magazines and 25 newspapers. The magazines cost $5 each and the newspapers cost $2.50 each. Suppose that his MU from the final magazine is 10 utils while his MU from the final newspaper is also 10 utils. According to the utility-maximizing rule, Frank should: a. Reallocate spending from magazines to newspapers. b. Reallocate spending from newspapers to magazines. c. Be satisfied because he is already maximizing his total utility. d. None of the above
- Pareto eliminated psychology from economics:a. by defining utility as ordinal, not cardinal utilityb. searching for secondary qualities of thingsc. defined rationality as consumer behavior only after they have bought something several timesd. by accepting revealed preference.Answer the question on the basis of the following two schedules, which show the amounts of additional satisfaction (marginal utility) that a consumer would get from successive quantities of products J and K. Units of J MUj Units of K MUk 1 56 1 32 2 48 2 28 3 32 3 24 4 24 4 20 5 20 5 12 6 16 6 10 7 12 7 8 What level of total utility is realized from the equilibrium combination of J and K, if the consumer has a money income of $28 and the prices of J and K are $8 and $4, respectively? Multiple Choice a. 172 utils b. 168 utils c. 188 utils d. 72 utils 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.John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?
- Alex preferences over cake, c, and money, m, can be represented by the utility functionu (c, m) = c + m + µ (c − rc) + µ (m − rm)where rc is his cake reference point, rm is his money reference point, and the function µ (·) isdefined as µ (z) = z , z ≥ 0 and λz, z < 0 where λ > 0. 1. If his reference point is the status quo (that is, his initial endowment), what is themaximum price Sam would be willing to pay to buy a cake?2. If his reference point is the status quo, what is the minimum price Sam would be willingto accept to sell a cake he already owned?brownie has $100 that he can spend on milk and gas. A gallon of milk costs $5.However, government gives its citizens a coupon that entitles people to 20%discount on their first 10 gallon milk purchases. Gas costs $4 per gallon andgovernment charges $1 for each gallon of purchased gas. John’s utility functionis U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed,respectively. What is John’s optimal consumption of milk and gas?Question 3 Part bIf government removes the quantity restriction to which the coupon applies (i.e.20% discount is applied to any quantity of milk purchased), what will be John’soptimal consumption?Suppose a family (with 1 child) earns $50,000 per year and there is no publicly provided education. Assume the price of other goods is $2,000 and the price for education/ year is $5,000. Draw the family's budget constraint. Show how free public education worth $20,000 per student changes the budget constraint. Draw a set of indifference curves to show that the family increases education consumption after b. Show how a school voucher redeemable for $20,000 worth of education changes the family's budget constraint. What happens to the amount of education the family purchases for the child?