Sharon consumes 2 units of X per 1 unit of Y, always in this fixed proportion. If the price of X is $5, and the price of Y is $3 and Sharon's income is I, then her demand for X will be a. I/5 cross out b. 3I/5 cross out c. 5X+3Y=I cross out d. 5I cross out e. I/11
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Sharon consumes 2 units of X per 1 unit of Y, always in this fixed proportion. If the price of X is $5, and the price of Y is $3 and Sharon's income is I, then her demand for X will be
I/5
3I/5
5X+3Y=I
5I
I/11
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- maddy is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. maddy utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Part aFind Jennifer’s optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.Part bmaddy uncle Sam, who is aware of her financial troubles, offers to help herout. Specifically, he offers to pay half of her weekly diaper expenses. Howmany diapers maddy would buy now? Again, demonstrate your solution bothgraphically and analytically.abby is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. Jennifer’s utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Question 1 Part aFind abbys optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
- Marcia spends her money on tee and biscuits and sugar, which she sees as perfect complements. She eats two biscuits with every cup of tea. A cup of tea costs $2 and one biscuit costs $0.2, and she spends $33.60 on tea and biscuits every week. Use a diagram measuring the number of biscuits on the horizontal axis to show her compensated variation and equivalent variation if the price of a biscuit decreases to $0.1. What can you say about the change in her consumer surplus?.Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
- Ann consumes two goods, a and y. Her utility function is given by: u(x, y) = (x+1)G. The price of a is $4 per unit and the price of y is $ per unit. Ann's income is w. (a) * ) Nrite down an expression for Ann's budget line. (b) v- 'Determine the formula for Ann's marginal utility of a, and the formula for Ann's marginal utility of y. (c) ( » For each income level w > 0 calculate Ann's optimal consumption bundle. (d) For which income levels w is bang-for-buck equalization violated at Ann's optimal consumption bundle? Explain. , Assume that w = 2. Draw Ann's budget line in a figure with r on the hor- izontal axis. Add 2 indifference curves of Ann, including the indifference curve that contains Ann's optimal consumption bundle. Indicate Ann's optimal consumption (e) - bundle.he Calculus of Utility Maximization and Expenditure Minimization -End of Appendix Problem uppose that there are two goods, X and Y. The price of X is $2 per unit, and the price of Y is $1 per unit. There are two onsumers, A and B. The utility functions for the consumers are UA(X,Y)= X05.05 UB(X,Y)= X0.8y0.2 Consumer A has an income of $100, and Consumer B has an income of $300. Using Lagrangians, solve for the optimal bundles of goods X and Y for both consumers A and B. a. The optimal bundle for consumer A is X = 25 and Y* = 50 - b. The optimal bundle for consumer B is X = 120 and Y* = 60Moe's income is $320 per week and he spends it on two goods, X and Y. Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a) Calculate Moe's utility-maximizing purchases of X and Y. (b) Calculate Moe's constrained utility- maximum if his income decreases by $2.00? (c) If the price of Y doubles, with no change in the price of X, by how much would his income have to increase to enable him to maintain his initial level of utility (as in part (a) above)?
- The price of a hand sanitizer is Tk. 120 and the store fixed the maximum number of hand sanitizers per customer to 4 but will sell more than 4 at a price of Tk.150. Draw and explain how this decision by the store will affect a consumers budget line if the consumer only purchases 2 goods, hand sanitizers and masks.70- 60- B 50- 40- 30- Suppose Naomi consumes two goods: good 1 and good 2. Last year, the price of good 1 was $2.00 and the price of good 2 was $3.20. Given these prices, Naomi maximized satisfaction consuming bundle A, as indicated in the figure to the right. However, this year, the price of good 1 has increased to $6.00 and the price of good 2 has changed to $2.40. Given these prices, Naomi would be equally well off at consumption bundle B. Calculate a Laspeyres cost-of-living index for Naomi using 100 as the base for last year. In particular, the Laspeyres index for this year is ☐. (Enter your response rounded to two decimal places.) The Laspeyres index suggests inflation has been percent over the year. (Enter your response rounded to two decimal places.) The Laspeyres cost-of-living index overstates the rate of inflation because it assumes that consumers do not alter their consumption patterns as prices change. Naomi's true cost-of-living increase has been ☐ percent. (Enter your…Basil is a broke college student who consumes only coffee and pizza. No one is really sure how he can survive on those two goods alone, but somehow he does. Coffee is $2 per cup, and pizza is $5 per pizza. Basil's weekly budget constraint is shown below. On the graph below show how his budget constraint would change if Basil gets an additional $10 per week from his grandmother. Coffee (cups per week) 15 14 13 3 210 000 654 120 w 2 -N Budget Constraint 0 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Pizza (number per week)
