(a)lf we allow for the possibility of satiation, the consumer's budget constraint takes the form pxs pw, Walrus' law then becomes pz(p) so for all p2 0. Show that the standard textbook proof of the existence of Walrasian equilibrium still applies for this generalized form of Walrus' law.
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- True/False/Uncertain: 1. In taking an exam, Atack, a rational student, allocates his time to the various questions so as to equalize hismarginal point utility per minute on all questions. 2. The marginal utility of food to Zecher depends only on the amount of food (and not on the amount ofhousing) and the marginal utility declines as more food is consumed; likewise for housing. Therefore,both food and housing are normal goods. (Hint: Express the optimality condition for Zecher’s [UMP], MUF/MUH = PF/PH. Notice that PF/PH is fixed. If all of an increase in income is spent on F, can the equality be maintained?)The consumer choice is not restricted to the choice of consumptiongoods. In fact, it can apply to all our decisions that involve trade-offs. Suppose Mary has awage per hour of 10 euros. With her earned income she consumes. That isC=wH per day.She also decides how many hours to work of take leisure time each day.H=24-N, whereHis work and N is leisure. Her utility is given by （picture） Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif-ferent curve. What is the labor supply function?Suppose that Marissa is interested in buying some beers and hamburgers. Her budget constraint for these two goods is given below: If beers cost $6/beer, how much income does she have to spend on beer and hamburgers? Group of answer choices $24 $18 $12 not enough information to answer the question
- Suppose that the initial allocation is point a between Ross and Rosa. A. Discuss how Ross’s condition be made better off without harming Rosa (i.e., Rosa maintains her level of utility). B. Illustrate this in a separate diagram and label point/s as necessary (also, if other point/s will have to be made or incorporated).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.Suppose the consumer's utility function is given by U(x,y) = X3/5y2/5, and the exogenous variables are given by M = 500, Px = 5, and Py = 4. Price of y changes to Py = 2. What is the income effect ony?O A.-14.53O B. +14.53O C. +24.21O D. +25.79O E. None of the above
- Suppose the consumer's utility function is given by U(x,y) = X3/5y2/5, and the exogenous variables are given by M = 500, Px = 5, and Py = 4. Price of y changes to Py = 2. What is the income effect ony?O A.-14.53O B. +14.53O C. +24.21O D. +25.79O E. None of the above Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according tothe functionU(c, b) = 20c− c²+ 18b − 3b²a. How many cigars and glasses of brandy does he consume during an evening? (Cost isno object to J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum ofglasses of brandy and cigars consumed to 5. How many glasses of brandy and cigarswill he consume under these circumstances?How would you demonstrate part b) diagramatically 6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. a) Derive and plot the feasible set, between daily values of consumption c, and “leisure”, l. Label the values at the intercepts (the points where the feasible frontier cuts the two axes). b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves.
- Now,suppose N=3 with a market clearing interest rate. The first two agents are the same as earlier. The third agent has an endowment of 20 in the first period and consumes 15 in the second period. If the first two agents each consumed 21 units in the first period, how much did the third agent consume in the first period? Plz do fast(a) Dividing MUX and MUY by their respective prices compute the weighted marginal utility or marginal utility of money expenditure and draw up Table 2 showing diminishing returns for the consumption of the 6 units? (b) Briefly state what you can infer on this equation; MUX/PX = MUY/PY as far as equi marginal principle and managerial economics is concerned? C)Given that MUX/PX and MUY/PY are equal to 6 when 5 units of X and 3 units of Y are purchased. By purchasing these combinations of X and Y, calculate the amount the consumer will spend and derive the maximum satisfaction from combination of these units. (d) Applying the above principle illustrate in terms of a figure, and draw marginal utility curves for goods X and Y. You need to use marginal utility and price i.e. Marginal utility per Kwacha spent on good X = MUX/PX, and that of Y = MUY/PY. The MUX/PX curve should be shown in figure (a) while the MUY/PY curve should be shown in Fig (b). Please do not draw negative…Q2. Preferences and utilityLet's assume that country A prefers not to make additional concessions (outcome C1) to country B than granting those concessions (outcome C2), but a continued war (outcome C3) would be worse than making the additional concessions (C2). The following utility function over the outcomes specifies the intensity of preferences for country A over the outcomes: u(C1) = 1, u(C2) = 0.3, and u(C3) = 0. Country A can choose to refuse concessions (action A1) or allow concessions (action A2). The outcome that will occur is a function of the "type" of country B's leader.If country A refuses concession (A1), country B will not initiate a war (outcome C1) if country B's leader is amicable, while it will enter a war (outcome C3) if the leader is belligerent. There is a probability p(S1) = 0.6 that country B's leader is amicable and a probability p(S2) = 0.4 that country he's belligerent. If country A allows concession (A2), both in case of country A is amicable p(S1) and…