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![(2) Please, Find the Slutsky Equations for Goods X and Y (Step-by Step).
Given:
U(X,Y)= X²Y
X* - 2M/3Px
Ys - M/3Py
V(Px, Py, M) - 4M³/27 Px² Py
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- Consider John who consumes two goods, (X and Y), with prices ?? = ?$35, ?? = ?$25 and income I =N$1500 i) Construct budget constraint and draw John’s budget line with good X on the horizontal axis. (ii) Use a graph to show the effect of an increase in income from N$1500 to N$2000. What will happen to the slope of the budget line if the price of good X decreases to N$18?a. Determine the demand functions of x and y in the case of a Cobb-Douglas type utility function, in the following cases: α=0.40;β=0.60 Graph the demand functions of the two goods (price as a function of quantity) assuming the individual's income is $500 - Determine what is the quantity demanded of x and y, if the price of good x is USD 1, the price of good y is USD 4, and income is USD 500 - Now, explain what happens to the quantity demanded if the prices of the goods are doubles holding income constant.John consumes 20 units of food and 24 units of clothing. If food is an inferior good, will John be indifferent between receiving a $24 gift certificate at a clothing store and receiving $24 in cash? Explain and show graphically.
- a :Compute the values for the decomposition basket, B.b:Determine the numerical values of the substitution and income effects and graph yourresults.c:Is Good X normal or inferior goods for Mika? How do you know?2 Debbie consumes only D (Donuts) and E (Eggs). Furthermore, it is known that she considers D and E to be "perfect complements" at a 2:1 ratio (i.e. 2 donuts has to go with 1 egg). Based on this, answer the following: a) Derive Debbie's demand for Eggs (you should get E as a function of M, PD and PE). b) Suppose Debbie's income is $100, while PD = $3 and PE = $4. How much D and E would Debbie be consuming? What is the elasticity of demand for E? What is the income elasticity of demand for E? What is the cross-price elasticity of demand for E? c) Suppose PE rose to $7. Graphically show the effect. Be sure to decompose into a substitution effect and an income effect. How much income is needed to compensate Debbie for the effect of the price increase? d) Derive her Hicksian Demand.b) Alesandro purchases two goods, X and Y, and the utility gained for the last 3unit purchased of each is 16 utils and 23 utils, respectively. The prices of X and Y are $1 and $1.75, respectively. Is Alesandro in consumer equilibrium? Explain your answer.
- Suppose the demand curves for goods A, B, and C have the following functional forms, where Q denotes quantity demanded, P denotes price, and M denotes income: QA = 120 - 3.5PA - 6PB + 14M QB = 100 - 2PB + 3PC + 1.1M Qc = 1500 -0.5Pc - 300M. Based on these demand curves, which of the following goods are known to be normal goods? A, B and C B A and B only C AIf the utility function for a consumer is defined by U=6X^0.6Y^0.7 . Given that the consumer's income is 300 currency units and unit price of goods X and Y are 12 and 15 currency units respectively, calculate the equilibrium quantity of both goods. Compute the price elasticity of demand for both goods and interpret your results. If income and prices of the two goods increase by 50%, calculate the equilibrium quantities of both goodsCalculate marginal utility and marginal utilty per dollar for the data provided in the table below: (round to two decimal places) The Price of wine is 3 The Price of Cheese is 0.14 The Consumer's budget for wine and Cheese is 9.69 (CHEESE) (CHEESE) (CHEESE) WEDGES OF CHEESE GLASSES (WINE) (WINE) (WINE) MARGINAL UTILITY MARGINAL MARGINAL UTILITY MARGINAL UTIUTY/dollar OF WINE TOTAL UTILITY TOTAL UTILITY UTIUTY/dollar 70 Number Number Number Number 160 35 Number 65 Number 225 3. 41 Number Number Number Number 45 288 Number 61 Number 48 349 The Quantity of Wine this consumer would buy to maximize utlity is: Number Number The Quantity of Cheese this consumer would buy to maximize utilit is : What is the consumer's Total Utility when optimized: Number 10
- Harry consumes 2 goods, X and Y and he spends N$60 per month. The price of good X is N$4 and the price of good Y is N$10. Harry's utility function is U(X, Y) = XY. (i) What is Harry's marginal rate of substitution? (5) (ii) What is the expression for Harry's budget constraint? (3) (iii) What is the slope of Harry's budget constraint? (2) (iv)Find the values of good X and Y maximizes Harry's utility. Show all your work. (6) (v) Illustrate Harry's utility maximizing combination on a clearly labelled graph. (4) (vi) Suppose the price of good X increased to N$6. Illustrate Harry's income and substitution effects on a well labelled graph. Show your work. (10) (vii) Suppose Genie is consuming two goods, coffee and beer. She spends all her income on a combination of coffee and beer where MUcoffee/Peoffee is 5 and MUbeer/Pbeer is 3. Explain why this combination is not maximizing her satisfaction. What should she do to maximize her utility? (5)1. A consumer has a utility function defined over two goods X and Y. Let the quantity of Good X be x ≥ 0 and the quantity of Good Y be y ≥ 0. The utility function is given below: u(x, y) = xy + 2y. Assume that the consumer has income m and that prices are px and Py.1. Suppose the demand for frozen pizzas is given by the following equation: QD =100-50P+25Pp-1.51 where QD denotes quantity demanded of frozen pizzas, P denotes the price of a frozen pizza, Pp denotes the price of pizzeria pizza, and / denotes daily income. Answer the following questions assuming the price of a pizzeria pizza is $10 and income is $10, unless otherwise noted. a) On a graph, Label the axes for the market for frozen pizzas. b) Plot a point at the horizontal intercept of the demand curve, given the assumptions at the start of the problem. c) Plot a point at the vertical intercept of the demand curve, given the assumptions at the start of the problem. Connect your points and label your curve.
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