Consider the non-linear aggregate consumption function: C = 0.05Y²+ Y + 80 (Where, C = aggregate consumption and Y = aggregate income). b) What is the relationship between MPC and APC in this case?
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- Construct a consumption function from the data given here and determine the MPC.Construct a consumption function from the data given here and determine the MPC. Given the consumption function in the above question, what is the relationship between disposable income and consumption?Construct a consumption function from the data given here and determine the MPC. Given the consumption function in the above question, what is the relationship between disposable income and consumption? Is it direct or indirect and then explain what it means.
- Suppose that c= a+by, where c= consumption, a = consumption at zero income, b = the slope of the consumption from function, and y = income, a) are c and y positively related or are they negatively related? b) If graphed, would the curve of this equation slope upward or downward? c) What is the value of c if a = 10, b = 50 and y = 200? d) what is the value of y if c = 100, a = 10 and b = 25?The equations for two consumption functions are shown below: C = 300+ 0.5Y C = 0.5Y We denote the equation: C = 300+ 0.5Y as C, and the equation: C = 0.5Y as C₁. These equations are graphed on a grid with aggregate consumption (C) on the y-axis and aggregate income (Y) on the x-axis. Given this information, the equation for C has a vertical intercept of and a slope of response as a whole number. Round your second response to one decimal place.) (Enter your first The equation for C, has a vertical intercept of and a slope of (Enter your first response as a whole number. Round your second response to one decimal place.) If the consumption function is C = 300+ 0.5Y, when income rises, APC If the consumption function is C = 0.5Y, when income rises, APCA 3-sector economic model was constructed and solved, and assuming the parameters take on certain values, the multiplier matrix that is obtained is displayed in Table 1. You are required to answer the following questions by showing your calculation in the space provided. Table 1: Multiplier Matrix Exogenous Variables Endogenous Variables I* G* T* : Output : Consumption Expenditure 1.895 : Tax Revenue Y 2.631 2.631 - 2.105 C 1.895 - 2.316 T 0.263 0.263 0.789 YD : Disposable Income : Government Budget 2.368 2.368 - 2.895 0.263 - 0.737 0.789 Balance : Saving 0.474 0.474 - 0.579 (a) If autonomous investment is reduced by 100, justify its precise impact on disposable income and tax. Answer : AYD = AT = 80, what is the amount of (b) If the govemment has increased its spending by autonomous tax that is required so that the govemment's action in increasing its spending does NOT have an impact on the government's budget balance? Answer : AT* =
- A 3-sector economic model was constructed and solved, and assuming the parameters take on certain values, the multiplier matrix that is obtained is displayed in Table 1. You are required to answer the following questions by showing your calculation in the space provided. Table 1: Multiplier Matrix Exogenous Variables Endogenous Variables I* G* T* : Output : Consumption Expenditure 1.895 Y 2.631 2.631 - 2.105 C 1.895 - 2.316 T Tax Revenue 0.263 0.263 0.789 YD : Disposable Income 2.368 2.368 - 2.895 В : Government Budget 0.263 - 0.737 0.789 Balance S : Saving 0.474 0.474 - 0.579 (a) If autonomous investment is reduced by RM100, justify its precise impact on disposable income and tax. Answer : AYD= AT =The autonomous consumption expenditures and autonomous investment expenditures in an economy are $250 and $350, respectively. It is also observed that individuals spend 90% of their additional income on consumption. Using the information provided above, the aggregate expenditure function for this economy is: (Round your response for the intercept term to the nearest whole number and for the slope term to two decimal places.) The simple multiplier for this economy can be calculated as 10. (Round your response to one decimal place.) The value of the simple multiplier implies that a $200 decrease in the autonomous investment expenditures would lead to a $ in the equilibrium level of actual income. (Round your response to the nearest dollar.) increase AE = 600+ 0.9 Y decreaseAssume that that tax revenues (T) are proportional to income (Y). That means if the tax rate is equal to t, then we have T = tY.Also, consumption (C) and investment (I) functions are given as the following: C = a + b (Y – T) [where a and b are constant]I = c – dr. [where c and d are constant, and r is the interest rate] A) Find the expression of the government purchase multiplier. (Use derivative) B) What will happen to multiplier if tax rate increases? What will happen to multiplier if MPC increases?
- Consider the hypothetical country of Kejimkujik. Suppose that national income in Kejimkujik is $300 billion, households pay $100 billion in taxes, household consumption is equal to $160 billion, and the marginal propensity to consume (MPC) is 0.6. On the following graph, use the blue line (circle symbol) to plot the economy's consumption function. Consumption Function050100150200250300350400450500500450400350300250200150100500CONSUMPTION (Billions of dollars)DISPOSABLE INCOME (Billions of dollars) Suppose now that Kejimkujik’s national income increases to $330 billion. Assuming the amount paid in taxes is fixed at $100 billion and that MPC = 0.6, what is the new amount of household consumption? $148 billion $219.4 billion $220.6 billion $178 billion2. What is the domain and range of the consumption function C = 12 + 0.3Y? Write them as a set. What is the economic interpretation of 0.3 here?3. Suppose that you are interested in answering the question of how consumption reacts to tax increases. In recent years, government has imposed tax increases to fund increased infrastructure spending. If you could design an ideal experiment to answer this question, how would you do so? Do you think it would be practical to use this experiment on a large scale?