Let A, B, and C be the amounts invested in companies A, B, and C. If no more than 40% of the total investment can be in company B, how can you express that as a constraint? B≤ 0.4 0.4A B 0.4C ≤ 0 - 0.4A + 0.6B - 0.4C ≤ 0 - 0.6A + 0.4B - 0.6C ≤ 0 0.4A B +0.4C ≤ 0
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- If the number of competitors in Example 11.1 doubles, how does the optimal bid change?Maximize C- 16A + 21B subject to 9A +15B $22 10A + 3B ≤ 29 and A≥0, B20. What is the optimal value of A? O 2.444 O 0.000 39.11 O 4.222#17FAVORABLE UNFAVORABLEMARKET MARKETEQUIPMENT ( $) ($)Sub 100 300,000 –200,000Oiler J 250,000 –100,000Texan 75,000 –18,000For example, if Ken purchases a Sub 100 and ifthere is a favorable market, he will realize a profitof $300,000. On the other hand, if the market is unfavorable, Ken will suffer a loss of $200,000. ButKen has always been a very optimistic decisionmaker.(a) What type of decision is Ken facing?(b) What decision criterion should he use?(c) What alternative is best? #18Although Ken Brown (discussed in Problem 3-17) is the principal owner of Brown Oil, his brother Bob iscredited with making the company a financial success. Bob is vice president of finance. Bob attributeshis success to his pessimistic attitude about business and the oil industry. Given the information fromProblem 3-17, it is likely that Bob will arrive at a different decision. What decision criterion should Bobuse, and what alternative…
- 5. If money can be invested at 5% compounded annually, A. Accumulate P1,000 for 15 years. B. Discount the result of problem A for 10 years. C. Accumulate P1,000 for 5 years. Compare the results of B and C.Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.Forrester and Cohen is a small accounting firm, managedby Joseph Cohen since the retirement in December of hispartner Brad Forrester. Cohen and his three CPAs can togetherbill 640 hours per month. When Cohen or another accountantbills more than 160 hours per month, he or she gets an additional"overtime" pay of$62.50 for each of the extra hours: this is aboveand beyond the $5,000 salary each draws during the month.(Cohen draws the same base pay as his employees.) Cohenstrongly discourages any CPA from working (billing) more than240 hours in any given month. The demand for billable hours forthe firm over the next 6 months is estimated below: Cohen has an agreement with Forrester, his former partner,to help out during the busy tax season, if needed, for an hourly feeof $125. Cohen will not even consider laying off one of his colleaguesin the case of a slow economy. He could, however,…
- Fred has been told that diversifying his investments will significantly reduce risk. He hastherefore invested in two stocks. His portfolio consists of a $1 500 000 investment in DrugsLimited and $750 000 invested in shares of Pharmaceuticals Limited.Economy Probability ReturnsDrugs Limited PharmaceuticalsLimitedBoom 0.4 12% 19%Normal 0.5 8% 11%Recession 0.1 2% -4% i. What is the expected return on Fred’s portfolio? ii. Advise Huron as to the effectiveness of his diversification strategy.If money can be invested at 5% compounded annually, A.Accumulate $1,000 for 15 years. B. Discount the result of problem A for 10 years. C. Accumulate 1,000 for 5 years. Compare the results of B and C.Suppose that $100 is invested at the beginning of a year. Which (if either) of the following methods of growing the investment results in a larger amount at the end of the year? (i) The investment grows at an interest rate of 4% per year, compounded continuously.(ii) The investment grows at an instantaneous growth rate of 4% per year. method (i) method (ii) Both methods produce the same amount.
- 4. A car owner is willing to pay £500 at the start of the year to insure against a loss L (in £) if the car was stolen. The car owner has initial capital of £15,000 and the probability of the can being stolen is 0.2. If the car owner's utility function is U(w) = ½ w½ for w > 0, calculate L.You have your choice of two investment accounts.Investment A is a 15-year annuity that features end-of-month $1,500 paymentsand has an interest rate of 8.7 percent compounded monthly. Investment B is an8 percent continuously compounded lump-sum investment, also good for 15 years.How much money would you need to invest in B today for it to be worth as much asInvestment A 15 years from now?You are managing a portfolio of $1 million. Your target duration is 11 years, and you can choose from two assets: a zero coupon bond with maturity 5 years, and a perpetuity, the yield is: A. .688 B. .417 C. .583 D. .312