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 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? Question 3 Part b If government removes the quantity restriction to which the coupon applies (i.e. 20% discount is applied to any quantity

jamie  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. Jamies utility functionis U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed,respectively. What is Jamies optimal consumption of milk and gas?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 jamieoptimal consumption?

Suppose that you are given $20,000 to split between two people, Jane and Fred. The income and marginal utility for each of them is shown in the following table.   Amount to Jane Amount to Fred MU of Jane's Last Dollar Spent MU of Fred's Last Dollar Spent $ 5,000 $ 15,000 80 65 $ 7,000 $ 13,000 70 70 $ 9,000 $ 11,000 60 75 $ 11,000 $ 9,000 50 80 $ 13,000 $ 7,000 40 85   Instructions: Enter your answers as a whole number.   If you want to maximize their combined utility, how much of the $20,000 should go to Jane? How much should go to Fred?        Amount to Jane = $         Amount to Fred = $

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. Question：Find Andrea’s income-consumption curve for tooth paste tubes for incomes between £0 and £21, assuming a price of £1 per tube.

Each unit of good X costs $1, and each unit of good Y costs $2. The following table contains information on Felix's u Units of Good X 1 2 3 4 5 Total Utility of Good X (Utils) 14 26 37 46 51 Units of Good Y 1 o maximize his utility, Felix should purchase 2 3 4 5 Suppose Felix spends a total of $8 on good X and good Y each week. Total Utility of Good Y (Utils) 30 56 80 of good X and Siven his budget, the maximum total utility Felix can obtain from the two goods is 100 116 of good Y. utils.

Please answer just the number IV part.

2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord- ing to the function U(C,T) = 3C+4T. a. What does her utility function say about her MRS of coffee for tea? What do her indiffer- ence curves look like? b. If coffee and tea cost $3 each and Ms. Caffeine has $12 to spend on these products, how much coffee and tea should she buy to maximize her utility? c. Draw the graph of her indifference curve map and her budget constraint, and show that the utility-maximizing point occurs only on the T-axis where no coffee is bought. d. Would this person buy any coffee if she had more money to spend? e. How would her consumption change if the price of coffee fell to $2?

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1. Dave Grohl wants to buy drums and guitars. Drums are sold in an unusual way. There is only one supplier, and the more drums you buy from him, the higher the price you have to pay per unit. In fact, y units of drums will cost Dave y² dollars. Guitars are sold in the usual way at a price of 2 dollars per unit. Dave's income is 20 dollars, and his utility function is U (x,y) = x+2y, where x is his consumption of guitars and y is his consumption of drums. A. Sketch Dave's budget set and shade its in. B. Sketch some of his indifference curves and label the point that he chooses. C. Calculate the number of drums and guitars that Dave demands at these prices and this income.

Question:  Finn is in charge of decorations for an upcoming festival, and he is planning to decorate withclovers (C) and flags (F). Suppose his preferences over decorations can be represented by theutility function: U(C,F) = C3/4 F1/4 **For this problem, assume C and F are infinitely divisible so you don’t need to worry about restricting to whole-number answers. a.) Write Finn’s budget constraint as a function of the prices PC , PF and his budget I. b.) Write Finn’s constrained optimization problem in Lagrangian form and derive the threefirst order conditions.