A specific model of computer servers are being sold by Company A for $26,900 each, offering trade discounts of 7% and 5% and by Company B for $36,000 each, offering trade discount rates of 13% and 2%. a. Which company offers the servers for a cheaper price? (AI) \(B\) b. What further trade discount rate must the company with the higher price provide to match the lower price? Round to two decimal places
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- Question 6 The revenue per month earned by the Couture clothing chain at time tis R(t) = N(t)S(t), where N(t) is the number of stores and S(t) is the average revenue per store per month. Couture releases a statement to their investors saying that currently they have 50 stores with a total revenue of $7,500,000 and expect to increase the number of stores by about 2 stores per month and increase total revenue by about $250,000 per month. What does this statement imply about the current rate of change of the average revenue per store per month?Question 3 (Minimum-variance Hedging) A farmer has a crop of grapefruit juice that will be ready for harvest and sale as 150000 pounds of grapefruit juice in 3 months. He is worried about possible price changes, so he is considering hedging - a financial engineering technique that minimizes future uncertainties in the cash flow. Typically, hedging is carried out using futures contract. However, unfortunately, there is no futures contract for grapefruit juice, but there is a futures contract for orange juice. Still, the farmer might consider using the futures contract for orange juice as a replacement for futures contract for grapefruit juice, in the hope that these two contracts are highly correlated due to the similarity of the underlying products. Currently, the spot prices are $1.20 per pound for orange juice and $1.50 per pound for grapefruit juice. The standard deviation of the prices of orange juice and grapefruit juice is about 20% per year, and the correlation coefficient…A specific model of computer servers are being sold by Company A for $26,900 each, offering trade discounts of 8% and 5% and by Company B for $35,900 each, offering trade discount rates of 13% and 2%. a. Which company offers the servers for a cheaper price? A� B� b. What further trade discount rate must the company with the higher price provide to match the lower price? %
- An investment broker is instructed by her client to invest $20,000 in two funds based on their average annual returns for 5 years ending December 31, 2009: a Global Bond fund yielding 9% and the Yachtman fund yielding 7%. The client wants to invest at least $8000 in the Yachtman fund and no more than $12,000 in the Global Bond fund. (a) How much should the broker recommend that the client place in each investment to maximize income if the client insists that the amount invested in the Yachtman fund must equal or exceed the amount placed in the Global Bond fund? (b) How much should the broker recommend that the client place in each investment to maximize income if the client insists that the amount invested in the Yachtman fund must not exceed the amount placed in the Global Bond fund?More than 50,000 state and local governments and their agencies borrow money by issuing municipal bonds to build, repair, or improve schools, streets, highways, hospitals, sewer systems, and so on. When the federal income tax law was adopted in 1913, interest on municipal bonds was excluded from federal taxation. As a result, municipal bond investors are willing to accept lower yields than those they can obtain from taxable bonds. As part of your portfolio, you are considering investing $70,000 in bonds. You have the choice of investing in tax-exempt municipal bonds yielding 2.75% or corporate bonds yielding 4% in taxable interest income. (a)What is the annual interest income (in $) and tax status of the municipal bond investment? (b)What is the annual interest income (in $) and tax status of the corporate bond investment? (c) If you are in the 32% marginal tax bracket for federal income taxes and your state and local taxes on that income amount to an additional…More than 50,000 state and local governments and their agencies borrow money by issuing municipal bonds to build, repair, or improve schools, streets, highways, hospitals, sewer systems, and so on. When the federal income tax law was adopted in 1913, interest on municipal bonds was excluded from federal taxation. As a result, municipal bond investors are willing to accept lower yields than those they can obtain from taxable bonds. As part of your portfolio, you are considering investing $80,000 in bonds. You have the choice of investing in tax-exempt municipal bonds yielding 2.75% or corporate bonds yielding 4% in taxable interest income. (a) What is the annual interest income (in $) and tax status of the municipal bond investment? $ (b) What is the annual interest income (in $) and tax status of the corporate bond investment? $ (c) If you are in the 30% marginal tax bracket for federal income taxes and your state and local taxes on that income amount to an…
- A government program guarantees $18,000 in income, even for those who do not work at all. If the recipient earns income by working, then the $18,000 benefit is reduced by 50 cents for each $1 earned. Will this program eliminate the poverty trap? Question 27 options: Yes, enacting such a program will eliminate the poverty trap. No, enacting such a program may still reduce the incentive to work. Yes, and enacting such a program will cost the government less money. Yes, enacting such a program will create adequate incentive to work.Q3. You are given the following information about an economy: Gross private domestic investment = 40 Government purchases of goods and services = 30 Gross national product (GNP) = 200 Current account balance = -20 Taxes = 60 Government transfer payments to the domestic private sector = 25 Interest payments from the government to the domestic private sector = 15 (Assume all interest payments by the government go to domestic households.) Factor income received from rest of world = 7 Factor payments made to rest of world = 9 Find the following, assuming that government investment is zero: (a.) Consumption (b.) Net exports (c.) GDP (d.) Net factor payments from abroadQUESTION 7 A company manufactures two types of toys: T1 and T2 using the machines A, B and C. The time required to make T1 is 6, 8 and 12 hours in A, B and C respectively. The time required to make T2 is 8, 4 and 4 hours in A, B and C respectively. The maximum available times for the machine A, B and C are 380, 300 and 404 hours respectively. The profits on T1 and T2 toys are 5 and 3 OMR respectively. Let x = number of toys (T1); y = number of toys (T2). The constraint for the time on machine Ais 8x + 6y ≤ 380 6x + 8y ≥ 380 8x + 6y ≥ 380 6x + 8y ≤ 380
- Question 24 A poultry business project requires an initial investment of R75 000. The business generates thefollowing incomes at the end of the given times.6 months : R2000012 months : R2500018 months : R40000The expected return on this project is 10% per annum. Find the net present value of this project.A. -1251.23B. 10000C. 1467.89D. -1780.11 Question 25The following are pairs of independent variables and their corresponding dependent variables.In which of these pairs of variables should the independent variable be interchanged with its dependentvariable?Independent variable (x) Dependent variable (y)A. Daily temperature Electricity consumptionB. Annual salary Number of vacations takenC. Number of exams passed Amount of time spent studyingD. Alcohol consumption by drivers Number of accidents by those driversQUESTION 5 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 80% of the people who receive the coupons for the free membership will use the coupon. In a sample of 197 new residents who received the coupon for the two month free membership, there were 136 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 80% of the people that receive the coupon actually use it, what is the test statistic?…Rework problem 17 in section 2 of Chapter 5 of your textbook about the lottery winner who is going to invest in utility bonds and a savings account using the following data: Assume that her total winnings are $ 600000, that the utility bonds will pay 9 percent per year, and that the savings account will pay 1 percent per year. How much should she allocate to each investment in order for the yearly incomes from them to be the same?Utility Bonds: $ Savings Account: $ What will be her total yearly income from these investments? $
