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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..Mary is a corn farmer in Iowa. If she does not irrigate her field, she can produce 120 bushels of corn per acre. If she applies 4 inches of irrigation water, she can produce 140 bushels of corn per acre. The application of 8, 12, and 16 inches of irrigation water can result in 160, 180, and 200 bushels of corn per acre, respectively. Graph the relationship between the amount of water applied and corn yield for Mary. What is the slope?Mark is currently earning $44,000 a year. He has worked for this firm for 5 years. He is considering a job that will increase his lifetime earnings by $240,000 but that requires a Ph.D. in finance. The job will mean also attending a full-time finance program for four years at an annual cost of $28,500. Mark already completed an MBA, for which he spent $86,000 in tuition and books. Would he take the job and attend the Ph.D. program? Calculate: Insutructions: Use ono decimals. Use commas (30,000, not 30000). Opportunity costs of this decision = $ MC = $ MB = $ Sunk Costs = $
- 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 $1,220,000.00Answer the attached questionBarter 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…Bill's income is $1,000 and his net taxes are $350. His disposable income is Group of answer choices $650. $750. $1,350. -$350.Note: don't use chat gpt.
- 6. The WorldLight Company produces two light fixtures (products 1 and 2) that require both metal frame parts and electrical components. Management wants to determine how many units of each product to produce so as to maximize profit. For each unit of product 1, 1 unit of frame parts and 2 units of electrical components are required. For each unit of product 2, 3 units of frame parts and 2 units of electrical components are required. The company has 200 units of frame parts and 300 units of electrical components. Each unit of product 1 gives a profit of $1, and each unit of product 2, up to 60 units, gives a profit of $2. Any excess over 60 units of product 2 brings no profit, so such an excess has been ruled out. (a) Formulate a linear programming model for this problem. (b) Use the graphical method to solve this model. What is the resulting total profit? VITY 3.3 CONSULTATION AND FEEDBACKComplete 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.M12
