Formulate the Linear Programming algebraic model : The DLSU Faculty Cooperative has P250,000 available to invest in a 12-month commitment. The money can be placed in Treasury notes yielding an 8% return or in municipal bonds at an average rate of return of 9%. Cooperatives regulations require diversification to the extent that at least 50% of the investment be placed in Treasury notes. Because of restrictions of Bureau of Internal Revenue, it is decided that no more than 40% of the investment be placed in bonds. Determine the budget that should be allocated

Formulate the Linear Programming algebraic model : The DLSU Faculty Cooperative has P250,000 available to invest in a 12-month commitment. The money can be placed in Treasury notes yielding an 8% return or in municipal bonds at an average rate of return of 9%. Cooperatives regulations require diversification to the extent that at least 50% of the investment be placed in Treasury notes. Because of restrictions of Bureau of Internal Revenue, it is decided that no more than 40% of the investment be placed in bonds. Determine the budget that should be allocated

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
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Homie Appliance Company operates a branch in Manila City. The following are transactions between the home office and branch for the current year. The home office sends P200,000 cash to the branch. Shipments to branch are billed at cost of P78,750. The Home Office pays branch expense of P3,500. Home office expense of 3,375 are paid by the branch. The branch returned merchandise costing P10,000 to the home office. Home office acquires branch furniture for P20,500 cash. The said fixed asset is carried on Branch Books. The annual depreciation on the branch furniture is 5%. The branch sends a P15,000 cash remittance to home office. Q1-What is the adjusted balance of Branch Current account in the Home Office Books? Q2-What is the adjusted Home Office Current account in the Home Office Books?
Civil engineering consulting fi rms that provide ser-vices to outlying communities are vulnerable to a number of factors that affect the fi nancial conditionof the communities, such as bond issues and real estate developments. A small consulting fi rm en-tered into a fi xed-price contract with a large devel-oper, resulting in a stable income of $260,000 per year in years 1 through 3. At the end of that time, a mild recession slowed the development, so the par-ties signed another contract for $190,000 per year for 2 more years. Determine the present worth of thetwo contracts at an interest rate of 10% per year.
Problem 1: A government committee is considering the economic benefits of a program of preventative flu vaccinations. We will assume that the flu vaccine is completely effective so if the vaccine is implemented, there will be no flu cases. It is estimated that a vaccination program will cost $9 million and that the probability of flu striking in the next year is 0.70. If vaccinations are not introduced then the estimated cost to the government if flu strikes in the next year is $7 million with probability 0.15, $10 million with probability 0.25 and $15 million with probability 0.6. One alternative open to the committee is to institute an "early-warning" monitoring scheme (costing $3 million) which will enable it to detect an outbreak of flu early and therefore decide whether or not to institute a rush vaccination program (costing $12 million because of the need to vaccinate quickly before the outbreak spreads, again with the vaccine being completely effective) or to do nothing with…
Mark Ewing has decided to enter contract with uber service provider in his area. The driver offers a car variety of mileage or distance to be travelled to him. All contracts were to be signed for three years. The first option has a monthly rent of P3,000, with a total mileage allowance of 36,000 kilometers (an average of 12,000 kilometers per year) and a cost of P35 per kilometer for any kilometers over 36,000. The following table summarizes each of the Uber Service Contract offered to him: 3-Year Contract Monthly Cost Mileage Allowance Cost Per Excess Kilometer Option A P3,000 30,000 P 35 Option B P3,500 45,000 P 25 Option C P4,000 54,000 P 15 Mark has estimated that, during the 3 years of the agreement, there is a 40% chance he will drive an average of 12,000 kilometers per year, a 30% chance he will drive an average of 15,000 miles per year, and a 30% chance that he will drive 18,000 miles per year. In evaluating the options, Mark would…
Lorraine has received a lump sum of R500 000.00 from her retirement fund. She intends to usethese funds to start a student accommodation business. In order to start this business, Lorrainewould need approximately R1 million, funds are needed for building the students accommodationapartments and to register with various regulatory bodies. She has to source additional funding inorder to realise this dream. In the business plan, Lorraine has outlined the following:• Accommodation will be offered ONLY to students in Cape Town, Johannesburg,Mpumalanga and Polokwane.• ONLY females will be approved to reside in these houses, between the age of 18 - 35.• Marketing of the business will be done on community Radio stations only at the fourmentioned cities.• It is going to be a family business, Friends and relatives are in support of the idea but arenot able to support the business financially There are three types of Market coverage. Explain the type of market coverageapplicable to Lorraine’s…
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