For the Orlando real estate investment problem, assume the probabilities for the stable supply and surplus are .5, .3 and .2, then based on the computations of the expected payoff of the three investment options, the investor should choose O Motel only Restaurant only O Theater only O Either motel or restaurant
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- The management at Massachusetts Savings Bank is always concerned about the quality ofservice provided to its customers. With the old computer system, a teller at this bank could serve,on average, 22 customers per hour. The management noticed that with this service rate, thewaiting time for customers was too long. Recently the management of the bank installed a newcomputer system, expecting that it would increase the service rate and consequently make thecustomers happier by reducing the waiting time. To check if the new computer system is moreefficient than the old system, the management of the bank took a random sample of 70 hours andfound that during these hours the mean number of customers served by tellers was 27 per hourwith a standard deviation of 2.5. Testing at the 1% significance level, would you conclude thatthe new computer system is more efficient than the old computer system?A private investment club has $200,000 earmarked for investment in stocks. To arrive at anacceptable overall level of risk, the stocks that management is considering have been classifiedinto three categories: high risk, medium risk, and low risk. Management estimates that high-riskstocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be equal tothe sum of the investments in the stocks of the other two categories. Determine how much theclub should invest in each type of stock if the investment goal is to have a return of$20,000/year on the total investment. (Assume that all the money available for investment isinvested.)Note: Develop the linear system of equations from the above theory and solve the system byGauss Jordon Method.Federated Electronics, Ltd., manufactures display screensand monitors for computers and televisions, which it sellsto companies around the world. It wants to construct a new warehouse and distribution center in Asia to serve emerg-ing markets there. It has identified potential sites in the port cities of Shanghai, Singapore, Pusan, Kaohsiung, and HongKong and has estimated the possible revenues for each(minus construction costs which are higher in some citieslike Hong Kong). At each site the projected revenues are primarily based on these factors, (1) the economic condi-tions at the port including the projected traffic, infrastruc-ture, labor rates and availability; and expansion and modernization; and (2) the future government situationwhich includes the political stability, fees, tariffs, duties,and trade regulations. Following is a payoff table thatshows the projected revenues (in $ billions) for six years given the four possible combinations for positive and nega-tive port and…
- A multinational corporation is considering starting a subsidiary in an Asiancountry. Management realizes that the success of the new subsidiary depends, in part,on the ensuing political climate in the target country. Management estimates that theprobability of success (in terms of resulting revenues of the subsidiary during its firstyear of operation) is 0.55 if the prevailing political situation is favorable, 0.30 if thepolitical situation is neutral, and 0.10 if the political situation during the year is unfavorable. Management further believes that the probabilities of favorable, neutral, andunfavorable political situations are 0.6, 0.2, and 0.2, respectively. What is the successprobability of the new subsidiary?With the extra profits generated from the new customers, Jacobi is considering expanding his product range. He is interested in stocking a new type of motorcycle headset camera. To fit with current business plans, the new product would have to generate a minimum of 37.5% margin to be worthwhile. With that in mind, he hypothesizes that customers will be willing to pay at least $350 for this product, which is the minimum sale price for it to be viable at the specified margin. To test if his belief is true, Jacobi hires a market researcher (you) to determine how much customers may be willing to pay for this product. You collect data from a sample of 100 motorcycle enthusiasts, all of whom resemble Jacobi’s usual clientele, and determine that the average amount people are willing to pay is $364, with a standard deviation of $35. Using this information, you conduct a hypothesis test at a 5% level of significance to check whether Jacobi’s belief is justified and to help him decide whether to…To minimize costs on the production line, an industrial engineer at a fiber-optic manufacturing firm is considering two robots. Robot X would have a $82,000 first cost, a $30,000 annual maintenance and operation (M&O) cost, and $50,000, $42,000, and $35,000 salvage prices after 1, 2, and 3 years, respectively. Robot Y will have a first cost of $97,000, a yearly M&O cost of $27,000, and after 1, 2, and 3 years, respectively, salvage prices of $60,000, $51,000, and $42,000. If a 2-year study period is specified at an interest rate of 15 percent per year and replacement after 1 year is not an option, what robot should be selected?
- You have $10,000 to invest, and three different funds from which to choose. The municipal bond fund has a 7% return, the local bank's CDs have an 8% return, and the high‐risk account has an expected (hoped‐for) 12% return. To minimize risk, you decide not to invest any more than $2,000 in the high‐risk account. For tax reasons, you need to invest at least three times as much in the municipal bonds as in the bank CDs. Assuming the year‐end yields are as expected, what are the optimal investment amounts? a. Choose the unknowns, i.e. variables. State what they are so you know exactly what you are looking for.b. Write your OPTIMIZATION EQUATION. c. Write the constraints as a system of inequalities, usually there are several.d. Graph the system and identify the feasibility region. e. Identify the corners of the feasibility region, which will be the ordered pairs that you test in your optimization equation.f. Calculate the value of the optimization equation using each of the ordered pairs…THE PINEAPPLE HARVESTING SEASON IN BACOLOD IS SHORT , AND MOST FARMERS DELIVER THEIR TRUCKLOADS OF PINEAPPLE TO A GIANT CENTRAL STORAGE BIN WITHIN A TWO - WEEK SPAN . BECAUSE OF THIS , PINEAPPLE - FILLED TRUCKS WAITING TO UNLOAD AND RETURN TO THE FIELDS HAVE BEEN KNOWN TO BACK UP FOR A BLOCK AT THE RECEIVING BIN . THE CENTRAL BINJ IS OWNED COOPERATIVELY, AND IT IS TO EVERY FARMER'S BENEFIT TO MAKE THE UNLOADING/STORAGE PROCESS AS EFFICIENT AS POSSIBLE. THE COST OF PINEAPPLE DETERIORATION CAUSED BY UNLOADING DSELAYS AND THE COST OF TRUCK RENTAL AND IDLE DRIVER TIME ARE SIGNIFICANT CONCERNS TO THE COOPERATIVE MEMBERS . ALTHOUGH FARMERS HAVE DIFFICULTY QUANTIFYING CROP DAMAGE, IT IS EASY TO ASSIGN A WAITING AND UNLOADING COST FOR TRUCK AND DRIVER OF P 18 PER HOUR . THE STORAGE BIN IS OPEN AND OPERATED 16 HOURS PER DAY AND 7 DAYS PER WEEK DURING THE HARVEST SEASON AND IS CAPABLE OF UNLOADING , 35 TRUCKS PER HOUR ACCORDING TO AN EXPONENTIAL DISTRIBUTION . FULL TRUCKS ARRIVE ALL…ABC Condominium Corp. of Baguio City, recently purchased land and is attempting to determine the size of the condominiumdevelopment it should build. It is considering three sizes of development: small (D1); medium (D2); and large (D3). With the threelevels of demand- low (S1), medium (S2) and high (S3), the company’s management has prepared the following profit payoff table: Decision Alternatives Low (S1) Medium (S2) High (S3) D1- Small Condo 400,000 400,000 400,000 D2- Medium Condo 100,000 600,000 600,000 D3- Large Condo (300,000) 300,000 900,000 Required:9. Assuming the probabilities for the state of nature are P(S1)=0.20; P(S2)=0.35 and P(S3)= 0.45, what decision should ABCCondominium Corp make?10. Using the information from No. 9, what is the relevant income in ABC's decision?11. Using information in No. 9 , at how much will the "Medium condo, high demand" payoff would be indifferent between the"Medium condo" and "Large condo” decisions, given all other…
- ABC Condominium Corp. of Baguio City, recently purchased land and is attempting to determine the size of the condominiumdevelopment it should build. It is considering three sizes of development: small (D1); medium (D2); and large (D3). With the threelevels of demand- low (S1), medium (S2) and high (S3), the company’s management has prepared the following profit payoff table: Decision Alternatives Low (S1) Medium (S2) High (S3) D1- Small Condo 400,000 400,000 400,000 D2- Medium Condo 100,000 600,000 600,000 D3- Large Condo (300,000) 300,000 900,000 Required:1. At how much will the "Medium condo, high demand" payoff would be indifferent between the"Medium condo" and "Large condo” decisions, given all other applicable data input items remain the same?2. Compute for the Expected Value of Perfect Information.First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…California Wine producer Chill Wines has in their line a mid-market chardonnay, of whichthey produce 200,000 bottles a year. They have been bottling their wines with natural corkclosures, which are known to have sealing issues resulting in the spoilage of wine, aproblem that is worse in their chardonnay than in the other wines they sell. This problem,which results in a 15% spoilage rate for their chardonnay, is both expensive and impactsthe company’s reputation. They have researched several other closure products on themarket and have decided to try using a new closure in a test run of 91 bottles theirchardonnay. After allowing the wine to stay in the bottles for the time it generally takes toget it from the winery to customers, they tested the run and found 16 spoiled bottles. As thecompany has a both an immediate financial and reputation risk, they want to be 90% surethat changing the closures will help limit wine spoilage. What do their results suggest? a)What is known? What…