According to Figure 11-1, what is the amount of spending from the government on public education? (Do not include a dollar sign in your answer)
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- Consider an economy with 2 goods and 2 identical agents, each of whom has the following utility function, u (x1; x2) = ln x1 + 2 ln x2. The aggregate endowments of the 2 goods are given by (1; 2). Suppose there is a social planner who cares about agents equally.(a) Set up the plannerís problem.(b) Calculate the first-best outcome 2. Consider an economy with 2 goods and 2 identical agents, each of whom has thefollowing utility function, 11(31, 3:2) = In 3:; + 2111332. The aggregate endowments ofthe 2 goods are given by (1, 2). Suppose there is a. social planner who cares aboutagents equally. (a) Set up the planner’s problem.(b) Calculate the first-best outcome (11.6., the social planner’s solution).Explain the concept of the utility possibility frontier. What is the role of the utilitypossibility frontier in the social welfare maximization problem of a welfarist society?Assume your apartment complex decides to build new open access common area for its residents. Each individual has value for using the common area represented by the following value function: V= 40-0.5Q where Q represents the number of individuals using the common area. The marginal value function is: MV= 40-Q Assume each individual’s opportunity cost of time is $8 [e.g. MC=8] A) How many people use the common are at the social optimum? B) Calculate the net value (NV) at this social optimum. C) What characteristic of the good must be changed in order to avoid over use of the common area?
- 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.10. A social indifference curve showsa . all allocations that yield the same total utility to individuals in the society.b. social attitudes toward equity.c. social attitudes toward efficiency.d. social utility possibilities as a function of resources.Suppose that 2 roommates, Andy and Bob, are trying to pick an apartment in Chicago. Locations can be chosen from set of alternatives A={ x: x exists [0,1]}. Andy and Bob both want to minimize their daily commute but they work at different locations: Andy at xA=0.3, while Bob at xB=0.6. Specifically, their utility functions are: ui(x)= -(x-xi)2. Question: What is the set of all Pareto Efficient outcomes in A, assuming no money can be exchanged.
- Consider an economy with 2 goods and 2 agents. The Örst agent has the utilityfunction, u (x1; x2) = ln x1 + 2 ln x2, and the other one has u (y1; y2) = 2 ln y1 + ln y2.The aggregate endowments of the 2 goods are given by (50; 100). Suppose there is asocial planner who cares about agents equally.(a) Set up the plannerís problem b) Calculate the first-best outcome (i.e., the social plannerís solution).Suppose a consumer has income of $20 and faces a price of good x of 50 cents. When the consumer maximizes utility between x and expenditures on AOG (E), he is on the following indifference curve: E= 312.5 / x+10 When the price of falls to 40 cents he moves to the following indifference curve: E = 360 / x+10 Use information about these indifference curves to derive 2 different measures of the change in consumer surplus from the price change. Explain what you have measured and show your work.Consider a market with M= 2 consumers and L = 2 goods. The preferences of each consumer are u₁(x₁) = min (x₁, x2} (6) U₂(x2) = X1X2 (7) Draw the Edgeworth box for this economy, where endowments are ₁ = (0,1) and ₂ = (1,0). Be sure to label the budget constraint, endowment point, equilibrium price ratio, equilibrium allocation, and the indifference curves of each consumer. Please do fast ASAP fast
- I want you to please to solve this. It's super easy, and the deadline is in 1 hr. A student has a monthly budget of $120 to spend on eitherburritos, which cost $6 each, or sodas, which cost $4 each.1. What is the largest number of burritos that the studentcould afford to purchase in one month?2. What is the largest number of sodas the student couldafford to purchase in one month?3. Draw the student's budget constraint. Put burritos on thex-axis and sodas on the y-axis.Graded Assignment due Monday4. Which combinations of burritos and sodas are unaffordable--those tothe left of the line in the graph or those above the line in the graph? Why?5. Which combinations would leave some budget unspent - those to theleft of the line in the above graph or those to the right of the line in theabove graph?6. What is the equation for the student's budget constraint? In yourequation, use Q1 as the variable to represent the quantity of burritos andQ2 to represent the quantity of sodas.7. What is…Consider a town with a single street of 1 km long with 3,000 people spread uniformly along it. Two stores, 1 and 2, are located at the opposite ends of the street and sell the same product (store 1 is locatedattheleftend).Thecostofwalkingist1 =$6perkmtostore1andt2 =$9perkmtostore2for each consumer. The net utility of a consumer located at point x from buying a product at store 1 is U1(x) = 100 – p1 – t1x, where pi is a price of the product at store i = 1,2. The net utility from buying at store 2 is U2(x) = 100 – p2 – t2(1 – x). The average cost of the product for each store is c = 4. (a) Assume that all consumers buy product from the sellers. Find the demand functions Di(p1,p2) and the profit functions πi(p1,p2) for each store i = 1,2 as functions of prices p1,p2.(b) Find the equilibrium prices.Assume you like to drive but dislike pollution (who says economists lackunderstanding of reality!).(a) On a graph with pollution on the vertical axis, draw your indifferencecurves between driving (in miles) and pollution (in globs of pollution).Be sure to indicate the direction of increasing utility.(b) Suppose that for every 10 miles you drive, you always must breathin exactly 1 unit of pollution. Draw this as a “budget constraint".(Hint: here are some points on the constraint: (0,0), (10,1), etc...)(c) Illustrate graphically where the optimal consumption bundle will liewith an appropriately drawn indifference curve.(d) Under what circumstances would the optimal bundle contain zeropollution. Again, draw this possibility on a graph. Answer all four