q 14. suppose that MUx=10 and MUy=20. Furthur suppose that the consumer's budget constraint can be expressed as 20x+10y=400. For this consumer, the optimal amount of good x to buy would be.
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q 14. suppose that MUx=10 and MUy=20. Furthur suppose that the consumer's budget constraint can be expressed as 20x+10y=400. For this consumer, the optimal amount of good x to buy would be.
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- 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?If Utility =.5lnX+3Z+10+4√W then Marginal utility from X is....;. and the Mu of Z is ..I. A)MRS=1/3, B)MRS=1/4, C)MRS=4/3, D)MRS=12 II. A)Rhea should buy more bread, less milk, B)Rhea should buy more milk, less bread, C) Rhea maximizes her utility at bundle A, so she should not change her consumptions of either good, D) Rhea cannot afford bundle A, so she should buy less of both goods III. A)Rhea's MRS at bundle A is greater than the price ratio (Pb/Pm), B)Changing her bundle moves Rhea to a higher indifference curve, C)The slope of the indifference curve (where bundle A is found) is not equal to the slope of Rhea's budget constraint, D)All of the above statements explain your answer to part II.
- Suppose that MUx = 10 and MUy = 20. Further suppose that the consumer’s budgetconstraint can be expressed as 20x + 10y = 400. For this consumer, the optimal amount of good x to buy would be a) 5. b) 0. c) 20. d) 40.A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility functionU (x, y) = 10x0.6y0.4a. How many units of each commodity should the consumer buy tomaximize utility?b. Is the budget constraint binding?Ice cream and cakes are perfect substitutes for a child, and 2 units of ice cream is always worth 3 units of cakes (however many ice creams or cakes she might have, she would be willing to give up 2 ice creams to get 3 more cakes to keep the same utility level) . (a) Write down a utility function u(x,y) that represents the child's preferences, where x is the number of ice creams and y is the number of cakes she has. (b) If the prices are px= 8 and py =5, and she has $140 to spend on the two goods this summer, what is her optimal bundle? (c) If the price of ice creams decreases slightly, down to px = 7, what happens to her optimal bundle in this case? Did it change "slightly" compared to (b)?
- At the utility max point the rate at which a consumer is willing to trade C0 for C1 is equal to 1 plus the interest rate (MRS = 1+r). Suppose U(C0,C1)=lnC0+lnC1, MRS=1+r, and C1=(1+r)C0. If the consumer has income of $100 and saves $60 at 10%, what are C0 and C1? options: $50, $60 $40, $66 $50, $52.50 $40, $60Suppose the MU of good X is 20 its price is K4 and the MU of good Y is 50 its priceis K5. The individual to whom this information applies is spending K20 on eachgood. Is he or she maximising satisfaction? Why or why not?Consider a couple's decision about how many children to have. Assume that over a lifetime a couple has 100,000 hours of time to either work or raise children. The wage is $10 per hour. Raising a child takes 10,000 hours of time. a. Make a graph with the budget constraint showing the trade-off between lifetime consumption and number of children. (Ignore the fact that children come only in whole numbers!) Show indifference curves and an optimum choice. b. Suppose the wage increases to $15 per hour. Show how the budget constraint shifts. Using income and substitution effects, discuss the impact of the change on number of children and lifetime consumption. c. We observe that, as societies get richer and wages rise, people typically have fewer children. Is this fact consistent with this model? Explain.
- An agent has income m that can be spent on frequent flier miles f or on other goods – a “composite good” g. Their respective prices are: pf = 10 per mile and pg = 1 per unit. The flier miles have a stepwise price schedule. After the first 25 miles the price is reduced by 20% and after 50 miles the price is further reduced by another 50%.1. Put g on the vertical axis and f on the horizontal axis. Assume m = 200, and draw the budget constraint with all the intercepts and appropriate slopes. 2. On a separate graph, repeat part (1) for m = 300. 3. On a separate graph, repeat part (1) for m = 600.Suppose that MUx = 20 and MUy = 10. Further suppose that the consumer's budget constraint can be expressed as x +2 y = 40. For this consumer, the optimal amount of good y to buy would be: A. 5 B. 0 C. 20 D. 40Derive the relationship between the quantity of X demanded and the price of X if the consumer’s indifference map vis-à-vis X and Y has curves concave to the origin. Let X be games of golf per annum and Y all other goods. Draw the indifference map and budget constraint of: (a) an amateur who pays to play golf; (b) a professional who is paid to play golf. May we conclude that golfers turn professional because they dislike the game?
