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- 3. Consider a home energy storage (battery) system that can store up to 2 units of energy. At every time step, there is a demand for energy in the home which is drawn from 0,1,2 units with equal probability independent of the demands in the previous time steps. At every point in time, you have to satisfy the demand either by discharging the needed energy from the battery or purchasing power from the grid (or a combination of the two). You could also choose to purchase power from the grid to charge your battery. The grid energy price is either H(igh) or L(ow) according to a Markov chain (Price moves from H to L with probability p, and from L to H with probability q). (a) Model the decision making as an infinite horizon MDP where the objective is to minimize the discounted cost of energy purchased over an infinite horizon. (b) Write down a policy a of your choosing. Perform two steps of the operator T, for your policy, followed by one step of T..2. Exercise 8.2 Howard Bowen is a large-scale cotton farmer. The land and machinery he owns has a current market value of $12 million. Bowen owes his local bank $9 million. Last year Bowen sold $11 million worth of cotton. His variable operating costs were $9 million; accounting depreciation was $40,000, although the actual decline in value of Bowen's machinery was $60,000 last year. Bowen paid himself a salary of $50,000, which is not considered part of his variable operating costs. Interest on his bank loan was $400,000. If Bowen worked for another farmer or a local manufacturer, his annual income would be about $30,000. Bowen can invest any funds that would be derived if the farm were sold to earn 10% annually. (Ignore taxes.) What is Bowen's accounting profit? O $1,560,000 O $1,550,000 O $1,220,000.00 O $1,210,000.00 What is Bowen's economic profit? O $1,550,000 O $1,210,000.00 O $1,560,000 O $1,220,000.00Barter Multiple Choice is the major means of exchange in centrally planned economies. accounts for over 30 percent of the dollar volume of all exchange in the U.S. economy. entails the exchange of goods for goods. is used to circumvent the problem of a lack of coincidence of wants among potential buyers and sellers. 18 11,027 Saved AUG 24
- 13. (Use this information to answer qustion 13 - 16) Suppose a household solves the following two-period consumption-savings problem max u(c₁) + Bu(c2) {C1,C2} s.t. aw Y1 - C1 C2y2 (1+r)a with u(c) = √c where c₁ is consumption at time 1, c2 is consumption at time 2, y₁ is houshold income at time 1, 2 is houshold income at time 2 and w is the initial wealth. Suppose the incomes of the household are $50 in time 1 and $210 in time 2. The initial wealth is $100, the discount factor is 0.975 and interest rate is 5%. Solve for the household's choice of C1. (a) 125.12 (b) 126.58 (c) 175.16 (d) 341.88 14. Now a government wants to introduce income tax in both time 1 and time 2 {1, 2} to finance a construction project that costs $50 in time 1 and another $52.5 in time 2. Which ones of the following are the household intertemporal budget constraints. (a) y1 + 1/2 =C1+ 1+1 Y2 (b) w+y1 + = C₁ + 1+r 1+r (c) wy1T1 + Y2 T2 1+r Y2 1+r = €1 + 12 1+r (d) wy171 + =C1+ 1+r C2 (1+72) 1+r 15. Solve for the…What do you understand by social security? What do you understand by the “pension crisis” and how has it been addressed by different countries, the developed and the developing world? Withb DIAGRAM (400-500 WORDS)Complete the following table. Units TFC TVC TC AFC AVC AC MC 0 24 0 1 24 28 2 24 54 3 24 75 4 24 96 5 24 126 6 24 168 7 24 214 8 24 264. Explain the relationship between AC and MC.
- HBR Reading Pack: Distance Still Matters 1) Does 'distance' still matter in international business, and if so, how? 2) What are the 4 dimensions of distance? Please only Typing Answer I need ASAP1---consider a consumer who earns income each month. person has to spend each month on essential goods, such as food and personal. person has no access to reliable savings, so person must spend her entire income each month. The consumer is interested in taking a loan to finance a large purchase. The cost of capital for banks is fixed at each month and the monthly interest rate charged to borrowers is . Both and are equal to one plus the interest rate as we are used to seeing it – e.g., if a loan charges 5% monthly interest, then = 1.05 2---What is the largest nonessential purchase that the consumer can make each month without borrowing? Express it as a function of y c 3--Under the zero profit condition for lenders (i.e. banks), what will the interest rate charged to borrowers be? Assume there is no risk of default and no fixed costs and express it as a function of(capital k), y,c 4--What is the borrower’s monthly disposable income (exclusive of essential purchases) with a loan, under…during december, sara deposited 500 aed into her account and withdrew 120, 60.25, and 39.75 aed her balance at the end of december was 410 aed ( explain well with step by step answer ).