7. If the consumption function is given by C = 0.62Y + 50 state the values of (a) autonomous consumption (b) marginal propensity to consume Transpose this formula to express Y in terms of Cand hence find the value of Y when C = 120.
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- ASAP Please explain -why budget constraint is W1=(Ct1+Cn1)*pn1.and how you derive (step by step) inter temporal budget constraint from the period 1 and 2 constraints.Kenji is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $3.00, and a slice of pizza costs $4.00. Let E be the amount in dollars that Kenji spends on salad and pizza. If Kenji buys S bowls of salad and P slices of pizza, then the total amount of money he spends (E) can be represented by the equation Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation Suppose Kenji has $48.00 to spend on salad and pizza; that is, E= $48.00. Complete the following table with the values of S or P that make the equation true. Hint: To complete the first row, determine the number of pizza slices Kenji can purchase with $48.00, when the number of salad bowls he purchases is 0. Pizza Budget Salad (Dollars) (Bowls) (Slices) 48.00 0 48.00 48.00 8 06
- Derive with the help of indifference curves and the budget constraint the optimal consumption plan. How do you transfer the optimal consumption plan into an individual demand function?1. An individual derives utility from the consumption of a basket of goods, c and leisure time, given by U(c, l) =cºl(1-a) where 0 < a < 1, is a constant; and must decide how to allocate her time between work, L and leisure to maximize her utility. The individual has a total of 24 hrs in a day (L + l = 24) and total consumption is constrained by her income; i.e., c = wL, where w the real per hour, is taken as given. (a) Solve for the optimal labor supply.a) what is larger in this diagram, π or T? explain b) list two reasons for the shift in budget contraint
- Consider the household model that you have seen in class but now assume that the goal of the household is to consume twice as much in period 2 as in period 1. She earns $100 in the first period and $150 in the second period. The interest rate is 5%. What is her optimal saving in the first period? Note: Type in your answer approximated to two decimal points, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard will automatically delete it and you should not do anything about it.Consider the two period consumption savings problem faced by an individual whose utility is defined on period consumption. This utility function u(c) has the properties that it is strictly increasing and concave, u'(c) > 0, u"(c) < 0 (where u'(c) denotes the first derivative while u"(c) represents the second derivative) and satisfies the Inada condition lim.-→0 u'(c) approaches zero). The individual's lifetime utility is give by u(cı) + Bu(c2). In the first period of life, the individual has y1 units of income that can be either consumed or saved. In order to save, the individual must purchase bonds at a price of q units of the consumption good per bond. Each of these bonds returns a single unit of the consumption good in period 2. Total savings through bond purchases is s1 so that total expenditures on purchasing bonds is qs1. Let c1 denote the amount of consumption in period 1 chosen by the individual. In the second period of life, consumption in the amount c2 is financed out of the…3. Let Robinson Crusoe's Production Possibility curve be given by the equation: ƒ²/2 + g = 150 where f is the amount of fish and g is the amount of grain he can obtain. (think of g as plotted on the vertical axis and f as plotted on the horizontal axis). Robinson's marginal rate of substitution in consumption is MRSc = 9/f. (a) Find Robinson's production-consumption optimum R*. (b) If Robinson is discovered by a world market in which Pf = 5, and Pg = 1, determine his productive optimum Q* and consumption optimum C. (Graph the results).
- Find consumption if income is $300 and APC is 0.43Smoothing consumption and income are motivations for several actions that individuals take- saving, borrowing, lending, investment... it is also an optimal individual choice to overcome the impacts of unemployment and recession. Write an essay on the role, importance and methods of consumption (and income) smoothing in the study of macroeconomics. You may use figures, diagrams and tables to suppprt your answer.ASAP