Suppose that income causes health in the following specific manner: h = 2 + .25y and that health aids income as follows: y = 6 + 3h Based on this information, answer the following: a. Graph the two functions on the (y, h) graph and show the equilibrium (y on the x axis and h on they axis). b. Derive the equilibrium pair (y*, h*) and show on the graph above. 7 c . Now suppose that access to health is segmented by income in this country so that: h= 2 + .25y for all y < = 50 and h = 4 + .25y for all y > 50 Derive the new equilibrium and redraw the graphs again in the (y, h) space and depict the old and new equilibria.
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- In the United States, one of the largest welfare programs is the Supplemental NutritionAssistance Program (SNAP)1representing the second largest in-kind transfer programfor individuals in the US. From the abstract of the study we are told “[a] 1% increasein benefits per population raises grocery prices by a persistent 0.08%. A calibratedpartial-equilibrium model implies a marginal benefit dollar raises a recipient’s consumersurplus from groceries by $0.7, producer surplus by $0.5, and lowers each non-SNAPconsumer’s surplus by $0.05.” In other words, increasing the size of the in-kind transferleads to higher prices. This higher price results in a larger surplus for grocery stores anda lower consumer surplus for individuals not participating in SNAP. Those individualswho participate in SNAP can increase their overall consumer surplus as they haveaccess to more goods, despite the higher price. This result is estimated using thenearly 100% redemption of the SNAP benefits (i.e. assuming the…Consider the diagram below. At point C, which of the following statement(s) is (are) true? The American Medical Association reported that the consumption of green peas would lower the likelihood of breast cancer. Which of the following diagrams best illustrates the impact of this medical announcement? (Note: DO is the original relationship and D1 is the new relationship.) Select one: O a. P(green peas) O b. P (green peas) O C. P (green peas) A Do Di Qmreen peas) B Q(green peas)The following graph shows the budget constraint for a household who has to choose between consumption goods and health care services. Please explain tho difference between the two lines. Budget constraint Corsumer goods X Y(H) = pX + qM Y(H) = pX + qM Haalth care services M Y-Incone H=health ppeice of consunmer goods 9*peice of healh care services
- Exercise 4 Consider an economy with two consumers, Alexia and Bart, who live two periods, t = 0 and t = 1. In each period they can consume one type of good and their preferences for consumption are given by U (co, ci) = c(ci)² _i = A, B. Alexia and Bart have the following endowment of good in each period M=1, M₁ = 1, MB = 2, MB = 2. In t = 0, Alexia and Bart can exchange a financial contract for the delivery of one unit of consumption good in t = 1 (a bond). Name p the price of the bond and b² the amount bought by agent i = =A, B. (a) Write down each agent's utility maximization and budget constraints assuming that he/she can trade the bond without restrictions. (b) Find each agent's optimal quantity b² as a function of the bond net return r. (c) Find the equilibrium value of r and the equilibrium demand/supply of each agent.Recent research by economists David Cutler, Edward Glaeser, and Jesse Shapiro on Americans' increasing obesity points to improved technology in the preparation of tasty and more caloric foods as a possible explanation of weight gain. Before World War II, people rarely prepared French fries at home because of the significant amount of peeling, cutting, and cooking required. Today French fries are prepared in factories using low-cost labor, shipped frozen, and then simply reheated in homes. Paul consumes two goods: potatoes and leisure, N. The number of potatoes Paul consumes does not vary, but their tastiness, T, does. For each extra unit of tastiness, he must spend p hours in the kitchen. Thus, Paul's time constraint is N+pT = 24, and Paul's utility function is U = Paul's marginal rate of substitution (MRS), with T measured on the horizontal axis and N measured on the vertical axis, is N MRS = 2. (Properly format your expression using the tools in the palette. Hover over tools to see…The government of the island nation of Autarka has become increasingly concerned aboutthe health and wellbeing of low income households. Medical experts stress the importanceof a healthy diet in this regard. They have determined that, ideally, a household wouldconsume at least 5kg of fresh fruit and vegetables each week.The government has proposed implementing a new voucher scheme to ensure that the5kg per week consumption target is met. Under the government’s proposal, the voucherswould be redeemable for fresh fruit and vegetables, but could not be used for other typesof food, or for non-food consumption. Moreover, to limit the cost of the voucher scheme,the value of the vouchers sent to a household would be linked to the household’s income.Community groups in Autarka have expressed concern that a voucher scheme is unnec-essarily paternalistic; depriving low income households of the choice of how to spend theirincome. These groups argue that the government’s consumption targets could…
- Consider two commodities: toy cars and batteries. Each toy car takes three batteries to operate. Suppose Andy enjoys a toy car only if it moves and Andy has no other toy that needs battery. That is, one toy car and three batteries are a set of perfect complements to Andy. Task 1: Let x1 >= 0 be the quantity of toy cars and x2 >= 0 be the quantity of batteries. FindafunctionU(x1, x2)thatrepresentsthispreference. Task 2: Draw Andy's indifference curves going through bundles (2, 3), (4, 3) and (5, 5) in the commodity space in the same graph. How does Andy's preference order these 3 bundles in terms of > or ? Task 3: What mathematical expression describes the line formed by all the corners of the indifference curves?I don't understand how to gtaphically change the resulting fators.4. a. Consider a consumer with preferences defined over x and y. Demonstrate that it is possible theywould choose to consume some of both commodities when their income is I but would choose toconsume only x when their income is I’ > I. (Remember: if you can draw it without violating anyof the basic assumptions on preferences, it could happen.) b. Conversely, demonstrate that it is possible they would choose to consume only x when theirincome is I but would choose to consume x and y when their income is I’ > I.c. Finally, show it is possible that they would choose to consume only y when their income is I butwould choose to consume only x when their income is I’ > I.
- 1) Suppose that Abel and Eden spend their incomes on two goods, food (F) and clothing (C).Abel’s preferences are represented by the utility function U(F,C)=10FC, while Eden’spreferences are represented by the utility function U(F,C)= 0.20F2C2A) With food on the horizontal axis and clothing on the vertical axis, identify on a graph theset of points that give Abel the same level of utility as the bundle (10, 5). Do the same forEden on a separate graph.B) On the same two graphs, identify the set of bundles that give Abel and Eden the samelevel of utility as the bundle (15, 8).C) Do you think Abel and Eden have the same preferences or different preferences? Explain 2. Graphically show the effect of an increase in price of Coca Cola on the demand of PepsiCola 3. Assume a budget line is drawn for two commodities: X on the x-axis and Y on the y-axis. Ifthe income of the consumer is 120 Birr, the y-intercept is 3, and the slope of the budget lineis -0.5 then determined the price of commodity…Suppose that Abel and Eden spend their incomes on two goods, food (F) and clothing (C).Abel’s preferences are represented by the utility function U(F,C)=10FC, while Eden’spreferences are represented by the utility function U(F,C)= 0.20F2C2A) With food on the horizontal axis and clothing on the vertical axis, identify on a graph theset of points that give Abel the same level of utility as the bundle (10, 5). Do the same forEden on a separate graph.B) On the same two graphs, identify the set of bundles that give Abel and Eden the samelevel of utility as the bundle (15, 8).C) Do you think Abel and Eden have the same preferences or different preferences? ExplainQuestion 6: Transitivity There is only one consumption good in the world (cities). Karen is moving – suppose that her preferencesover cities are described as follows: she strictly prefers city A to city B if either (1) the average rent in cityA is cheaper than in city B, or (2) the average rent is the same in both cities, and there are more goodrestaurants in city A than in city B. Are these preferences transitive? Justify your answer.