2. Assume the following equations summarize the structure of an economy. C=Ca+0.85 (Y –T) C2= 260 – 10r T= 200 +0.2Y (M/ P)d = 0.25Y- 25r M /P = 2,125 Ip = 1,500 – 30r G=1,700 NX = 500 – 0.08Y %3D
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- Suppose that private savings and investment functions are given by: S = −c0 + (1 − c1)(Y − T) I = b0 + b1Y with G = T = 0. Assume 0 < b1 < 1−c1 < 1 (i.e. that slope of the savings curve is steeper than that of the investment curve). (a) Model Basics: Draw a graph of the investment=savings model with S,I on the vertical axis, and Y on the horizontal axis. Clearly label the 1) specific values of each intercept, 2) specific values of the slopes of each curve. (b) Suppose consumers choose to save more by reducing consumption at any given level of income, so that c0 declines. Show this on the graph. What are the effects of this change on 1) output, 2) the level of private savings, 3) the level of investment. (c) Briefly describe the economic intuition behind your results. Why is this called the paradox of thrift? (1-2 sentences is fine). (d) Deriving the Model: Show that the equilibrium condition Y = C + I + G implies I = S + T − GSuppose that before you began your college application process, you were offered a job to work as a floor-trainer at a local fitness center, accompanied by a yearly salary of $27,000 (after taxes). Assume however that you decided to turn down this offer and instead attend a year of college. The total monetary cost of the year of college, including tuition, fees, and room and board expenses, is $43,000. You likely chose to attend college because Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Table 8 Amounts of New Solar Power Installed in the United States Amount of New Solar Power Installed Year (megawatts) 2006 2007 105 160 2008 290 2009 435 2010 878 2011 1891 3300 2012 Source: GTM Research If the model is given by: y 2.73(1.80)*, what is the growth rate? O the growth rate is 273%. O The growth rate is 80%. O can not be determined from the equation. O The growth rate is 73% O The growth rate is 180%. 99+ a
- 2) Analyze the following two data sets to determine which X should be considered for further analysis as a potential Critical X. (use one of the basic tools and attach an Excel file with your analysis). Be sure to state your answer regarding the data set to analyze further. Data set (A) Data set (B) X Y Y 10 900 10 990 15 1155 14 988 20 1368 18 990 25 1542 22 989 30 1798 26 990esources Assume the following: (1) the interest rate on six-month treasury bills is 8 percent per annum in the United Kingdom and 4 percent per annum in the United States; (2) today's spot price of the pound is $1.50, while the six-month forward price of the pound is $1.485. If the price of the six-month forward pound were to then U.S. investors would no longer earn an extra return by shifting funds to the United Kingdom. O rise to $1.52 O rise to $1.55 O fall to $1.40 O fall to $1.47C. Suppose your neighbor is a physics major who also races motorcycles, and she tells you that horsepower can be expressed in terms of the following equation: H = MDA/S where M=mass, D-distance, A=acceleration and S and H are as defined above. Based on this conversation with your neighbor, you decide to change the functional form of the relationship to include 1/H rather than H as an explanatory variable because that's the appropriate theoretical relationship between the two variables. Estimate the above equation, substituting 1/H for H. Which of the two models do you prefer and why?
- In 1928, Charles Cobb and Paul Douglas published a study in which they modeled the growth of the US economy during the period 1899 to 1922. The function used to model production was of the form: (1) P(L, K) = 6LªK!-a where P is total production (monetary value of goods produced in the year); L, the amount of work (total number of person-hours worked in a year); and K, the amount of capital invested (monetary value of machinery, equipment and buildings). In these terms, the hypotheses made by Cobb and Douglas can be stated as follows: (i) If either labor or capital cancel each other out, so does production. (ii) The marginal productivity of labor is proportional to the amount of output per unit of work. (iii) The marginal productivity of capital is proportional to the amount of production per unit of сapital. 1. The output per unit of work is (a) Tick the alternative that, for some constant a, describes the hypothesis (ii) = aP·L. = a. P () aL L P = a. (b) If we keep K constant, K = K0,…Advanced analysis) Assume the following consumption schedule: C = 20 + 0.9Y, where C is consumption and Y is disposable income. At a(n) $1,200 level of disposable income, the level of saving isThe following is an equation of a straight line: (A): 5y-15x+35=0, What's the slope of the equation (A), with its verbal description? * Slope =3 , if x increases by 1 unit y increases by 3 Slope =1, if y increases by 1 unit x increases by 3 Slope =1, if x increases by 3 unit y increases by 1 Slope =3, if y increases by 1 unit x increases by 3
- 2. C = 50 + .8YD = 50 + .8(Y – T) %3D | = 150 %3D G = 200 T = 200 a) Calculate AY if AG = 100 (assuming that G could change all by itself). b) Calculate AY if AT = 100 (assuming that T could change all by itself). c) Calculate AY for AG = AT = 100.Solve each of the following equations for x x+7=14 5x+4=24 12−4x=−20 Organize each of the following equations to express Pas a function of Q. QQ as a function of P PP as a function of Q Q=25−P Q=12−3P 6Q=14−2PAssume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M is: A BE uarruarruarr (4 [0.6 0.2 0.1 0.4 0.1 0.1 0.4] 0.1 0.1 B 0.1 M How much input from A, B, and E are required to produce a dollar's worth of output for B? How much input from A is required to produce a dollar's worth of output for B? How much input from B is required to produce a dollar's worth of output for B? How much input from E is required to produce a dollar's worth of output for B ? Assume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M is: A BE ↑ ↑ ↑ A-> 0.6 0.2 0.1 B-> =M 0.1 0.4 0.1 E-> 0.1 0.1 0.4 How much input from A, B, and E are required to produce a dollar's worth of output for B? How much input from A is required to produce a dollar's worth of output for B? How much input from B is required to produce a dollar's worth of output for B? How much input from E…