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- Suppose that the real money demand function is L(Yr+ ? ?=0.3Yr+c) Where Y is real output, r is the real interest rate, and πe is the expected rate of inflation. Real output is constant over time at Y = 1500. The real interest rate is fixed in the goods market at r = 0.5 per year. (a) Suppose that the nominal money supply is growing at the rate of 10% per year and that this growth rate is expected to persist for ever. Currently, the nominal money supply is M = 400. What are the values of the real money supply and the current price level? (Hint: What is the value of the expected inflation rate that enters the money demand function?)Suppose Becky gets a sales bonus at her place of work that gives her an extra $400 of disposable income. She chooses to spend $300 and save the remaining $100. From this, you can tell that Becky's marginal propensity to consume (MPC) is0.75 , and her marginal propensity to save (MPS) is0.25 . Mathematically, it must always be true that: Saving = a. Disposable income+Comsumption b. Comsumption-Disposable income c. Disposable income-Consumption Therefore, it must also be true that: MPS = a. 1-MPC b. 1+MPC c. MPCThe following equation is used to predict quarterly demand: Yt = 300 - 2t where = 1 in the second quarter of last year. quarterly seasonal indices are Q1 = 1.5; Q = .8; Q3 = 1.1; and Q4 = .6, What is the seasonally adjusted forecast for the third quarter of this year? * О 314.6 О 316.6 О 316.8 O 314.8
- A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital. Complete parts (a) through (d) below. 1 1 2 2 p(x,y) = 2600xy (a) Find the number of units produced with 31 units of labor and 1417 units of capital. p= units (Round to the nearest whole number.) (b) Find the marginal productivities. dp dx Px = др ay = Py (c) Evaluate the marginal productivities at x = 31 and y = 1417. P(31,1417) =(Round to the nearest whole number as needed.) Py(31,1417) = (Round to the nearest whole number as needed.)At the beginning of year 1, a new machine must be purchased at the cost of 130K TL. The cost of maintaining a machine i years old is given in the table below. Due to the inflation, the purchase cost of a new machine at the beginning of Year 2, Year 3, and Year 4 would be 140K, 150K, and 165K respectively. The trade-in value is fixed at 50K for a replaced machine regardless of the age. Your goal is to minimize the total cost (purchasing plus maintenance) of having the machine for four years. Determine the year(s) in which a new machine should be purchased and calculate the total cost. Age at the beginning of the year Maintenance cost for the next year(K TL) 20 1 35 2 65 120Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the supply of labor is N=1000 + 1000w. Find the market clearing real wage rate and level of employment. What happens to the wage rate and employment if wealth rises, reducing the supply of labor to N= 500 + 1000w? As in (a), what is the unemployment rate if real wage is 1 more than the equilibrium wage? (hint: solve the real wage and then add it by 1, then find the difference of quantity of labor supplied and demanded).
- Using the attached Answer provided by a Bartleby Expert, Please Answer the Following: 2. A small oil company considers the continuous pumping of oil from a well as a continuous income stream, f (t) = 600e-0.2t in thousands of dollars per year. Suppose that the oil company is planning to sell the well. The company establish its selling price using the present value' of this well over the next 10 years. b. If the income can be invested at 10% compounded continuously, what is the estimated selling price of this well? Zoom level. Click toA7. (a) Which of the following statements is true? Select one of the options i. – iv. (dy of the function Y = 4x6 - 3x³ +7x - 5 is equal to The derivative %3D i. 24x6 - 9x3 + 7 ii. 24x5-9x2 +7 ii. 24x5 9x3 + 7 iv. None of the above Given that the demand function is p = 42 -3q , where q represents the output level and p is the price, write down an expression for the total revenue (R) function in terms of q. (b) i. %3D Find the output level which maximises the total revenue function. Note that you need to clearly show that this output level leads to a maximum. ii.. A calculator company found that the cost of producing x graphing calculators per day isC(x) = 4x + e^0.02x.(This ignores the original research and development cost, which is quite large.)(a) If each calculator is priced at $80, find a revenue function, R(x), which gives the revenuefor x calculators sold.(b) Find the profit function, P(x), which gives the profit per day when x calculators areproduced and each later sold for $80.(c) Find the value of x that will maximize P(x). Use the second derivative test to show thatit yields a maximum.(d) Given that one cannot produce a fraction of a calculator, find the daily production levelthat will maximize profit. Please answer in a complete sentence.