ash and Lily Corporation wanted to raise funds for the poor. The first prize for a raffle is P500,000 (with a probability of 0.001) and the second prize is P250,000 (with a probability of 0.003). What is a fair price to pay for a single ticket in this raffle? a. Give: what are the given information. b. Requirement: what is requirement. c. Solution: show step by step solution d. Answer: what is the final answer e. Analysis: identify the use of the resu
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Dash and Lily Corporation wanted to raise funds for the poor. The first prize
for a raffle is P500,000 (with a
probability of 0.001) and the second prize is P250,000 (with a probability of
0.003). What is a fair price to pay for a single ticket in this raffle?
a. Give: what are the given information.
b. Requirement: what is requirement.
c. Solution: show step by step solution
d. Answer: what is the final answer
e. Analysis: identify the use of the result in risk management
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- It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.Software development is an inherently risky and uncertain process. For example, there are many examples of software that couldnt be finished by the scheduled release datebugs still remained and features werent ready. (Many people believe this was the case with Office 2007.) How might you simulate the development of a software product? What random inputs would be required? Which outputs would be of interest? Which measures of the probability distributions of these outputs would be most important?Currently, the unit selling price of a product is $160, the unit variable cost is $120, and thetotal fixed costs are $725,000. A proposal is being evaluated to increase the unit selling priceto $170.Total Costs Units ProducedApril 300,000 2,700May 440,000 5,500June 325,000 3,500 A. Compute the current break-even sales (units).B. Compute the anticipated break-even sales (units), assuming that the unit selling price isincreased and all costs remain constant.
- Bilbo Baggins wants to save money to meet threeobjectives. First, he would like to be able to retire 30 years from now with a retirementincome of $23,000 per month for 20 years, with the first payment received 30 yearsand 1 month from now. Second, he would like to purchase a cabin in Rivendell in10 years at an estimated cost of $320,000. Third, after he passes on at the end of the20 years of withdrawals, he would like to leave an inheritance of $1,000,000 to hisnephew Frodo. He can afford to save $2,100 per month for the next 10 years. If hecan earn an 11 percent EAR before he retires and an 8 percent EAR after he retires,how much will he have to save each month in Years 11 through 30?The Sloan Corporation is trying to choose between the following two mutually exclusive design projects. If the required return is 10 percent, what is the profitability index for each project? What is the NPV for each project? Complete the following analysis. Do not hard code values in your calculations. You must use the built-in excel function to answer this question. Annual Cash Flows I II 0 $ (51,000.00) $ (14,000.00) 1 $ 24,800.00 $ 7,800.00 2 $ 24,800.00 $ 7,800.00 3 $ 24,800.00 $ 7,800.00 Required Return 10% Profitability index (I)_________________ Profitability index(II)_________________ NPV (I) ______________ NPV (II) ______________A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
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- Rollo Megabux has $1 million to invest in stocks orbonds. The percentage yield on each investment during thecoming year depends on whether the economy has a goodor a bad year (see Table 17). It is equally likely that theeconomy will have a good or a bad year.a If Rollo is risk-neutral, how should he invest hismoney?b For $10,000, Rollo can hire a consulting firm toforecast the state of the economy. The consulting firm’sforecasts have the following properties:P(good forecast|economy good) .80P(good forecast|economy bad) .20Should Rollo hire the consulting firm? What are EVSIand EVPI? Economy EconomyHas Good Has BadYear YearYield on stocks 22% 10%Yield on bonds 16% 14%A company is considering a new product launch. There is a 0.6 chance thatdemand for the product will be strong and a 0.4 chance that demand will beweak. Two strategies for the launch are possible: 1 has high promotion costs anda net cash outflow of K120 000 if demand proves to be strong, and if demandproves weak a net cash outflow of (K30 000) will result. Strategy 2 has lowpromotion costs and if demand is strong will generate a cash inflow of only K80000 but with weak demand a net cash inflow of K20 000. i. Draw a decision tree and advise which course of action generates thegreatest expected profit. ii. What is the maximum amount that should be paid for market research todetermine with certainty whether demand will be strong or weak?A company is considering a new product launch. There is a 0.6 chance that demand for the product will be strong and a 0.4 chance that demand will be weak. Two strategies for the launch are possible: 1 has high promotion costs and a net cash outflow of K120 000 if demand proves to be strong, and if demand proves weak a net cash outflow of (K30 000) will result. Strategy 2 has low promotion costs and if demand is strong will generate a cash inflow of only K80 000 but with weak demand a net cash inflow of K20 000. Draw a decision tree and advise which course of action generates the greatest expected profit. What is the maximum amount that should be paid for market research to determine with certainty whether demand will be strong or weak?