A farmer finds that if she plants 70 trees per acre, each tree will yield 40 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? trees
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- Practice with the rule of 70: If you inherit $20,000 this year and you invest your money so that it grows 3.5% per year, how many years will it take for your investment to be worth $80,000? $160,000? $320,000?Q) how to solve d? for scotland its suppose to be 150 (from 100*0.5) for grapesland its suppose to be 250, but how do you get this answer?Suppose the production functions of the decision maker belowindicate the effect of seeding rate on yield in the two states:y1 = −1.6 + 0.085x − 0.0005x2 wet season y2 = −1.7 + 0.087x − 0.0006x2 dry season with yi the yield per hectare in tonnes according to state i;where x is the seed rate in kilograms per hectare.For a wet year i = 1 and a dry year i = 2.These functions are shown in the following figure. Suppose the price of wheat is pw = 150$/t, the price of seedspx = 0.15$/kg and that the other variable costs are v = 110$/ha on a sown area of a = 50ha. Calculate the net income of this farmer in the above case.What is the optimal decision for the farmer in this case?
- macroeconomics Q2: Three students have each saved $1,000. Each has an investment opportunity in which he or she can invest up to $2,000. Here are the rates of return on the students’ investment projects: Harry 5 percent Ron 8 percent Hermione 20 percent If borrowing and lending is prohibited, so each student uses only his or her saving to finance his or her own investment project, how much will each student have a year later when the project pays its return? Now suppose their school opens up a market for loanable funds in which students can borrow and lend among themselves at an interest rate r. What would determine whether a student would choose to be a borrower or lender in this market? Among these three students, what would be the quantity of loanable funds supplied and quantity demanded at an interest rate of 7 percent? At 10 percent? At what interest rate would the loanable funds market among these three students be in equilibrium? At this interest rate, which…Suppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)? Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)? Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?If a risk‐averse individual owns a home worth $100,000, and that individual iswilling to pay a maximum of $1,000 for an annual fire insurance policy that covers theentire loss in the event of a fire, then we know that:A. There is a one percent chance that the home will be destroyed by fire inthe next yearB. There is a greater than a one percent chance that the home will bedestroyed by fire in the next yearC. There is less than a one percent chance that the home will be destroyedby fire in the next yearD. None of the above is correct
- ave $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have the same amount of money? What amount would you have the same?Solve this now but correctly.Suppose Natasha currently makes $ 50,000 per year working as a manager at a cable TV company. She then develops two possible entreprenuiral business opportunities. In one, she will quit her job to start an organic soap company. In the other, she will try to develop an Internet-based competitor to the local cable company. For the soap-making opportunity, she anticipates annual revenue of $ 465, 000 and costs for the necessary land, labor, and capital of $ 395, 000 per year. For the Internet opportunity, she anticipates costs for land, labor, and capital of $ 3, 250,000 per year as compared to revenues of $ 3, 275,000 per year. What opportunity should she persue? a) She would persue the soap business b) She would persue the Internet business c). She would continue working for the cable TV company.
- Mary is a corn farmer in Iowa. If she does not irrigate his 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 (Assume a straight-line relationship). Find and interpret the slope and Y interceptMaximize Q=K^0.4L0.5 given the equation S+3K+4L=108Given that Costa Rica has 12.1 mean years of school, the minimum years of school is 0, and the maximum years of school is 13.3. Also, Costa Rica has 15.2 expected years of schooling, the minimum years of schooling is 0, and the maximum years of expected schooling is 18. The minimum education index is 0 and the maximum education index is 0.971. What is the education index for Costa Rica for NDHI? Please show your work.