Suppose individual K consumes two goods and two goods only, good X and good Y. Using a graph with good X on the x-axis, identify the income and substitution effects from a change in price of good X if it is: (i) a normal good (ii) an inferior good (iii) a Giffen good.
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- Problem 2 Marty purchases two goods, food and clothing. He has a diminishing marginal rate of substitution of food for clothing. Let x indicate the amount of food consumed and y the amount of clothing. Suppose the price of food increases from P, to P2. On a clearly labeled graph, illustrate the income and substitution effects for each of the following scenarios: a) Food is a normal good. b) The income elasticity of food is zero (i.e. Marty's consumption of food does not change in response to his income). c) Food is an inferior good, but not a Giffen good. This question is based on problem 5.9 from Besanko and Breautigam. You can (but don't have to) assume that Marty's consumer choice problem has an interior solution both before and after the price change.What is the difference between good x as a function of price and income and good x as a function of price and utility?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?
- If a good is a Normal Good and its price decreases, what are the directions of the Substitution Effect and the Income Effect? Both are increases Both are decreases The Substitution Effect is an increase while the Income Effect is a decrease The Substitution Effect is a decrease while the Income Effect is an increaseassume popcorn and soft drinks are complements, use the indifferent analysis to illustrate what happens to the demand for popcorn when the price of soft drinks decreasesIf consumers buy less of a commodity when their incomes rise, this commodity is ( an inferior good , or a normal good ) ? . When the price of this commodity rises, the substitution effect is ( negative or postive) and the income effect is ( negative or postive) ? . So the net result for consumption of this commodity ( depends on which effect dominates , is an increase , is a decrease) ? .
- 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)A consumer has the following demand function for good 1: x1 = (1/4)(m/p1) The original price of the good is $2 and the consumer’s income is $200. Calculate the substitution effect, the income effect and the total effect for this consumer, when the price of good changes to $1.2 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.
- Consider a consumer with preferences over two goods, x and y. Preferences are given by U(x,y) = xy. Suppose the consumer’s income is $72 and the price of good y is $1. Suppose the price of good x is initially $4 and subsequently rises to $9. Find the numerical values of the income and substitution effects on the consumption of good xa :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. George has preferences for food X and clothing Y described by a utility function U(X,Y)=XY¹2. a) Find his demand function for food. Assume prices for food and clothing are Px and Py. Income is I. b) What is the relationship between the two goods: food and clothing for George? Why? c) On a clearly labeled graph, illustrate the income and substitution effects of the price increase on the consumption of food.