What is the value at the optimal solution?
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- Combined-cycle power plants use two combustion turbines to produce electricity. Heat from the first turbine’s exhaust is captured to heat waterand produce steam sent to a second steam turbine that generates additional electricity. A 968-megawatt combined-cycle gas fired plant can be purchased for $450 million, has no salvage value, and produces a net cash flow(revenues less expenses) of $50 million per year over its expected 30-year life. Solve, a. If the hurdle rate (MARR) is 12% per year, how profitable an investment is this power plant? b. What is the simple payback period for the plant? Is this investment acceptable?Consider a buying firm and a supplier negotiating terms for a contract. Suppose the Marginal Benefit to the buying firm of additional contract provisions in a contract (x) to the firm is: MB = 20,000 – 400x. Suppose the Marginal Cost to the buying firm of additional contract provision to the firm is: MC = 100x. What is the optimal number of contract provisions? Reconsider the previous question. If the maximum value (or price) of the contract that the buying firm is willing to pay for is $3,000, what would you expect the firm to do? a) Use the spot market b) Vertically integrate c) Continue to contract d) engage in holdupConsider an investment project with the following cash flows: N Cash Flow 0 -$5,0001 $02 $4,8403 $1,331ComputcthelRRforthisinvestment.lsthisprojectacceptablcatMARR = 10%?
- 1. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Based on the results of (iii) and (iv), which investment would you choose? 2. Compute the coefficient of variation, the return-to-risk ratio (RTRR) for each investment. Based on (vii) and (viii), what investment would you choose? Compare the results of (vi) and (ix) and explain any differencesA young computer engineer has $12,000 to invest and three different investment options (funds) to choose from. Type 1 guaranteed investment funds offer an expected rate of return of 7%, Type 2 mixed funds (part is guaranteed capital) have an expected rate of return of 8%, while an investment on the Stock Exchange involves an expected rate of return of 12%, but without guaranteed investment capital. Computer engineer has decided not to invest more than $2,000 on the Stock Exchange in order to minimize the risk. Moreover for tax reasons, she needs to invest at least three times more in guaranteed investment funds than in mixed funds. Assume that at the end of the year the returns are those expected; she is trying to determine the optimum investment amounts. (a) Express this problem as a linear programming model with two decision variables.(b) Solve the problem with the graphical solution procedure and define the optimum solution.Donald Harris received a windfall and needs to invest it for tax reasons. He went to his brother-in-law, Joe Harris, who is a financial advisor. Joe prepared a matrix that illustrated the possible returns on investment for different investment strategies under different economic conditions. That matrix is given below. Donald Harris reads the Wall Drive Journal and came across an article that stated that the probability that there would be a major downturn would be 10%; the probability of a downturn would be 30%; the probability of an upturn would be 40%; and that the probability of a major upturn would be 20%. Based on these numbers, what investment strategy should Donald Harris adopt? Future Air Traffic Strategies Major Downturn Downturn Upturn Major Upturn Contrarian 20% 10% 5% -15% Risk Averse 2% 4% 7% 10% Growth -10% -8% 13% 20% Aggressive -25% -20% 11% 35% Group of answer choices
- 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.Apply Linear Programming to the Folling Question: Dan Reid, chief engineer at New Hampshire Chemical, Inc., has to decide whether to build a new state-of-art processing facility. If the new facility works, the company could realize a profit of $200,000. If it fails, New Hampshire Chemical could lose $150,000. At this time, Reid estimates a 60% chance that the new process will fail. The other option is to build a pilot plant and then decide whether to build a complete facility. The pilot plant would cost $10,000 to build. Reid estimates a fifty-fifty chance that the pilot plant will work. If the pilot plant works, there is a 90% probability that the complete plant, if it is built, will also work. If the pilot plant does not work, there is only a 20% chance that the complete project (if it is constructed) will work. Reid faces a dilemma. Should he build the plant? Should he build the pilot project and then make a decision? Help Reid by analyzing this problemConsider the payoff matrix for a game with players A and B. bị b2 a1 (2,5) (4,2) az (3,4) (1,8) How many pure Nash equilibria does this game have? 1 0. 4.
- DONT SOLVE WRONG... SOLVE IF YOU ARE 5000% SURE Jaclyn is considering opening a location on campus to sell bubble tea. Her rent would be $500/month and she expects to sell each drink for $5. Variable costs are $0.85 and labor is $1.77. She also has the option to share space with a friend, which would cost her only $300/month in rent. Her friend wants $0.03 per bubble tea revenue sharing. What is Jaclyn’s new break-even point? If she sells 264 bubble teas, which option does she prefer? a. She prefers sharing space with her friend at Q=264. b. She is indifferent between the two choices at Q=264. c. She prefers working by herself at Q=264.Please answer all parts A Rhino cement company owns two production plants. Plant 1 costs 20977 per day to operate, and it can produce 330 bags of high-grade cement, 475 bags of medium-grade cement , and 508 bags of low-grade cement each day. Plant 2 is newer and more modern. It costs 22570 per day to operate, and it can produce 435 bags of high-grade cement,271 bags of medium-grade cement, and 274 bags of low-grade cement each day. The company has orders totaling 24539 bags of high-grade cement, 25248 bags of medium-grade cement, and 33749 bags of low-grade cement. How many days should it run each plant to minimize its costs and still produce enough cement to meet its orders? What is the value of the first dual variable? What is the value of the second dual variable? What is the value of the third dual variable? What is the value of dual optimal solution z?Solve for the future worth of each of the given series of payments: (a) $12,000 at the end of each six-month period for 12 years at 8% compounded semiannually. (b) $8,000 at the end of each quarter for 6 years at 12% compounded quarterly. (c) $6,000 at the end of each month for 5 years at 6% compounded monthly.