4.3 a. On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according to the function U(c, b) = 20c + 18b - 3b². How many cigars and glasses of brandy does he consume during an evening? (Cost is no object to J. P.) b. Lately, however, J. P. has been advised by his doctors that he should limit the sum of glasses of brandy and cigars consumed to 5. How many glasses of brandy and cigars will he consume under these circumstances?
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- Kate’s utility function includes coffee (c) and sugar (s). She only consumes coffee and sugar together, and she only consumes in the ratio of one unit (cup) of coffee with two units (spoons) of sugar. Her utility function is What is her marginal utility of sugar if she has 4 cups of coffee and 6 spoons of sugar? Remember that unit are infinitely divisible (you can have parts of units). (a) 0 (b) 1 (c) ½ (d) 2Which of the following statements is likely to be true about total utility as consumption increases? Group of answer choices Sophia receives a total utility of 5 from consuming the first burger, 10 after consuming the second, and 15 after the third. Benizir receives a total utility of 20 from consuming the first pancake, 15 after consuming the second, and 10 after the third. Jacob receives a total utility of 40 from consuming the first bowl of curry, 55 after consuming the second, and 65 after the third.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.)
- Suppose that Lynn enjoys sugar in her coffee. She has very particular preferences, and she must have exactly three spoonfuls of sugar for each cup of coffee. Let C be the number of cups of coffee, and S be the number of spoonfuls of sugar. Also, let PC be the price of a cup of coffee. Suppose Lynn has $12 to spend on Coffee and Sugar. Also, the price of Sugar is $.20 per spoonful. Graph Lynn’s Price consumption curve for prices, PC = $.60, PC = $.90, and PC = $1.80. Please put the number of cups of coffee (C) on the horizontal axis, and the number of spoonfuls of Sugar (S) on the vertical axis. Be sure to graph each budget constraint associated with each price of Coffee, identify Lynn’s optimal bundle on each budget constraint, and make sure your graph is labeled carefully and accurately.A student has a monthly budget of $120 to spend on either burritos, which cost $6 each, orsodas, which cost $4 each.What is the largest number of burritos that the student could afford to purchase in onemonth?What is the largest number of sodas the student could afford to purchase in one month? Draw the student's budget constraint. Put burritos on the x-axis and sodas on the y-axis.Suppose you are given RM500 each month to spend on meals and sports. Each meal will cost you RM5 and each sport will cost you RM2 per time you spend. Explain with a diagram to show that you have achieve an optimum consumption. Carefully derive the bundle of meals and sports at the optimum consumption point and the intercept points in your diagram. Could you able to obtain a higher optimum consumption point if your budget remains at RM500? Explain.
- A consumer prefers to consume 1 unit of x with each unit of y. if the price of x is $12 and the price of y is $4 , and he has income of $120, what is the optimal pair (x*,y*) to consume? a. (12,12) b. (20,20) c. (22,22) d. (40,40)Jackie has a budget of $36 per month to spend on snacks. She can spend this budget on bags of potato chips (C) and Hershey chocolate bars (H). Potato chips cost $4 per bag, while Hershey bars cost $1 per bar. The utility that Jackie receives from consuming potato chips and Hershey bars is represented by the following utility function: U=3C2 H. Given that Jackie seeks to maximize her utility, find the number of potato chip bags and Hershey chocolate bars that Jackie will purchase each month.If marlow obtained 9 units of utility per dollar spent on apples and 6 units of utility per dollar spent on oranges, then Marlowe
- First household m=$2,500 per month, spends $125 dollars per month on electricity. Second household m=$10,000 per month and spends $200 per month on electricity. p1=0.1 and p2=1 x1=consumption of electricity and x2=everything else The preferences over electricity and other goods is described by a Cobb- Douglas utility function. What are the parameters of the utility function for each of the two households?Andrea has a budget of £21 to spend on toothbrushes and tooth paste. He does not receive any utility from owning a toothbrush, but for the consumption of every tube of tooth paste he gains a utility of 2 utils – but only if he owns a tooth brush. Without a tooth brush, Andrea gains no utility from consuming tooth paste. In addition, after consuming 10 tubes of tooth paste, a toothbrush needs to be replaced, i.e., Andrea needs to buy a new one. The current price of tooth brushes on the market is £5 and the current price for tooth paste is £1 per tube. Assume that Andrea aims to maximise consumer surplus. Find Andrea’s income-consumption curve for tooth paste tubes for incomes between £0 and £21, assuming a price of £1 per tube.Andrea has a budget of £21 to spend on toothbrushes and tooth paste. He does not receive any utility from owning a toothbrush, but for the consumption of every tube of tooth paste he gains a utility of 2 utils – but only if he owns a tooth brush. Without a tooth brush, Andrea gains no utility from consuming tooth paste. In addition, after consuming 10 tubes of tooth paste, a toothbrush needs to be replaced, i.e., Andrea needs to buy a new one. The current price of tooth brushes on the market is £5 and the current price for tooth paste is £1 per tube. Assume that Andrea aims to maximise consumer surplus. Why in this question is consumer surplus equal to the utility gained from consumption?