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Consider the optimization problem
min 2 x1+ x2x1 + x2 >= 1x1 - x2 >= 0x1,x2>=0
where each xj is a real number. Suppose that an inequality can be inferred from a constraint set if and only if it is a sum of one or more constraints in the set.
Solve the inference dual of (3.9) using this family of proofs. Exhibit the proof that solves the dual. What is the duality gap?
An asset used in a four-year project falls in the five-year MACRS class for tax purposes. The asset has an acquisition cost of $6,040,000 and will be sold for $1,240,000 at the end of the project.
Assume that this high correlation is expected to continue. Your forecasting staff has indicated that the Swiss franc may exhibit minor appreciation over the next few months, but depreciation is unlikely.
You have a car loan with a nominal rate of 7.29 percent. With interest charged monthly, what is the effective annual rate (EAR) on the loan
The future earnings , dividends, and common stoc price of Carpetto Tech Inc. are expected to grow 7% per year. Carpetto's common stock currently sells for $23.00 per share.
To do this, you will invest $830 a month in a stock account and $430 a month in a bond account. The return of the stock account is expected to be 10.3 percent, and the bond account will pay 6.3 percent.
YOu want to retire in 30 years. You deposit $20,000 in the account now and plan to save an equal amount each year for the next 30 years. Once you retire, you will need $675,000. r=6%.
Ina boom economy its rate of return is negative 28%, in a normal economy its rate of return is 8% and in a recession its rate of return is 48%. All three possible states of the economy are equally likely.
Research in the gaming industry showed that 11% of all slot machines in the United States stop working each year. Short's Game Arcade has 60 slot machines and only 2 failed last year.
The applicable depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%. Working capital would increase by $35,000 initially, but it would be recovered at the end of the project's 5-year life.
Metasteel Limited Co. has a stable sales track record but does not expect to grow in the next several years. Its last annual dividend was $5.75. If the required rate of return on similar investments is 18 percent
Determine the current yield on a corporate bond investment that has the face value of 7,000, pays 12 percent interest, and has a current price of 68.30.
Bond N also has a face value of $40,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. The required return on both these bonds is 8 percent compounded semiannually.
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