Which option is the best answer? An example of a consumption function is C - 50+ 0.85Y. When Y is 200, the marginal propensity to consume is equal to 50. 0.85. 220. 170. 0 0 0 0
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- Consider the lottery that assigns a probability T of obtaining a level of consumption CH and a probability 1-T of obtaining a low level of consumption c, with CH > C1. Consider an individual facing such a lottery with utility function u(c) that has the properties that more is better (that is, a strictly positive marginal utility of consumption at all levels of c) and diminishing marginal utility of consumption, u"(c) < 0. As usual, we are using the shorthand u'(c) consumption and u"(c) = " = dư ( to be the second derivative of the utility function (which is also the derivative of the first derivative of the utility function). du(c) for the first derivative of the utility function with respect to dc du(c) dc2 du' (c) dcAn individual has the following utility function: U = Z!/2 H/2, where Z is a composite good and H is the level of health. The individual has income, m = $100. The price of the composite good, Z, is Pz = 1. The price of health, H, is PH = 4. What is the optimal consumption bundle of H and Z that maximizes utility? Show your steps and show the decision graphically (which includes finding the endpoints of the budget constraint).R(p) = pN(p).| Bob is currently selling tires for 60 dollars each. His weekly sales are running at 130 tires per week, so N(60) = 130. His marketing department estimates that he will lose 2 sales per week for each 10 dollar increase in unit price, so N'(60) = -0.2. Estimate Bob's increase in weekly revenue for each one dollar increase in tire price. Revenue increase =1 dollars
- Over their lifetime individuals typically prefer to have a reasonable _ consumption pattern. A) smooth B) volatile C) unpredictable D) very lowChris Traeger is trying to decide whether or not to purchase health insurance. Chris knows that if he is healthy, his wealth will be $2,000 this year. However, if he gets sick his wealth will only be $500. Chris knows the probability of getting sick is 40%. His utility function is written below. U = (2) What is utility if the individual purchases insurance at the actuarially fair price? 25.29 utils 26.46 utils 31.62 utils 18.97 utilsQ1. Consider a consumer with a lifetime utility function U(c, c') = u(c) + Bu(c) that satisfies all the standard assumptions listed in the book. The period 1 and 2 budget constraints are c+s=y c+sy+(1+r)s (a) What is the optimal value of s'? Impose this optimal value and derive the life-time budget constraint.
- Consider the problem of an individual that has Y dollars to spend on consuming over two periods. Let c denote the amount of consumption that the individual would like to purchase in period 1 and c2 denote the amount of consumption that the individual would like to consume in period 2. The individual begins period 1 with Y dollars and can purchase cı units of the consumption good at a price P and can save any unspent wealth. Use sı to denote the amount of savings the individual chooses to hold at the end of period 1. Any wealth that is saved earns interest at rate r so that the amount of wealth the individual has at his/her disposal to purchase consumption goods in period 2 is (1+r)81. This principal and interest on savings is used to finance period 2 consumption. Again, for simplicity, we can assume that it costs P2 dollars to buy a unit of the consumption good in period 2. 2 The individual's total happiness is measured by the sum of period utility across time, u(cı) + u(c2). Let u(c)…find the NNP at factor costSuppose that your current happiness is based on your current and past saving levels. Let s refers to the saving that you make each year. And please denote the current time period by t and it goes back to n years before. Define the equation for estimation happiness level. 2.