a. Mayers & Smith Corp. has a fertilizer plant. The probability of an explosion at the plantdepends on how much the firm spends on safety as given by the table below. If anexplosion occurs, the loss to society (damaged equipment, death of employees, etc.) isexpected to be $250 million.SafetyExpenditure$ millions)0.00.51.01.52.02.5Probabilityof Loss0.0300.0200.0160.0130.0110.010Find the optimal level of safety from a societal perspective.marginal cost and marginal benefit;optimal amount.Suppose Mayers & Smith has to pay only one half of the losses that occur. How muchwould Mayers & Smith spend on safety?

Given data: Scenario Safety Expenditure ($ millions) Probability (loss) 1 0.0 0.030 2 0.5…

Answered: a. Mayers & Smith Corp. has a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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4. "Family Man," a construction company, is considering whether to bid on a contract for a new housing complex. The cost of preparing a bid USD 200,000. “Family Man" has a 0.8 probability of winning the contract, if it submits the bid. If "Family Man" wins the bid, it has to pay USD 2000,000 to be a project partner of the project. As per the usual practice, "Family Man" will then consider consulting a market research firm "Marquess" to conduct a market survey to forecast the demand of housing complex before beginning the construction. "Marquess" charges a fee of USD 150,000. Now, the demand scenario can be either "High demand" or "Low demand." "Family Man" gets a revenue of USD 5000,000 and USD 3000,000 in case of "High demand" and "Low demand" scenario, respectively. On the other hand, instead of construction, "Family Man" has a provision of selling its project rights to another project partner construction company at the price USD 3500,000. As per the historical data, "Marquess"…
A. A company wants to produce a souvenir with a marketing life of six months. Uncertainty surrounds the likely sales volume as well as the fixed costs of the venture as shown below: Sales units Probability Contrn. /unit Probability Fixed cost K7 K5 100 000 0.3 80 000 0.6 60 000 0.1 1.0 0.5 0.5 1.0 Determine the expected value of the contribution K400 000 K450 000 K500 000 Probability 0.2 0.5 0.3 1.0
3. The manager for a manufacturing company must recommend whether to construct a large plant, construct a small plant or do nothing. He estimates the long-run profits in $ as follows: State of Nature Alternative Good Average Poor Market($) Market ($) Market ($) Construct a 100,000 35,000 -60,000 large plant Construct a 75,000 25,000 -40,000 small plant Do nothing -5,000 0 0 Probability 25% 50% 25% Solve using: A. Expected Opportunity Loss B. Expected Value of Perfect Information
An expensive piece of equipment is used in the masking operation for semiconductor manufacture.A capacitor in the equipment fails randomly. The capacitor costs $7.50, but if it burns out while the machine is in use, the production process must be halted. Here the replacement cost is estimated to be $150. Based on past experience, the lifetime distribution of the capacitor is estimated to be Number of Months Probability of of Service Failure 1 .08 2 .12 3 .16 4 .26 5 .22 6…
The water pump company has succeeded in introducing a water pump that saves electricity, is easy to install, and is durable (guaranteed). Its high quality has given the company an early edge in the local and national markets, but the entry of highly skilled competitors may occur within the next 3 years. Assume that the income and expense relationship of the company is as follows: TR = 22000Q - 15.6Q2 MR = dTR / dQ = 22000 - 31.2Q TC = 300000 + 4640Q + 10Q2 MC = dTC / dQ = 4640 + 20Q Where TR is income (in thousands of rupiah), Q is quantity (in units), MR is marginal income (in thousands of rupiah), TC is total cost, including a risk-adjusted normal rate of return on investment (in thousands of rupiah), and MC is the marginal cost (in thousands of rupiah). a. Compute: the profit-maximizing price-output combination. b. Compute: long-run equilibrium high-price / low-output. c. Compute: long-run low-price / high-output equilibrium
2. A product design engineer must decide if a redundant component is cost-justified in a certain system. The system in question has a critical component with a probability of 0.98 of operating. System failure would involve a cost of $20000. For a cost of $100 a switch could be added that would automatically transfer the system to the backup in the event of failure. Should the backup be added if the backup probability is also 0.98?
the EMV is....
Suppose that a car-rental agency offers insurance for a week that costs $100. A minor fender bender will cost $3500, whereas a major accident might cost $16,000 in repairs. Without the insurance, you would be personally liable for any damages. What should you do? Clearly, there are two decision alternatives: take the insurance, or do not take the insurance. The uncertain consequences, or events that might occur, are that you would not be involved in an accident, that you would be involved ina fender bender, or that you would be involved in a major accident. Develop a payoff table for this situation. What decision should you make using each of the following strategies?a) aggressive strategyb) conservative strategyc) opportunity-loss strategy
An insurance company has a life insurance policy, which have 10,000 clients, each client pays 200 yuan per year. If the client died in this year, the company paid out the beneficiary of 10,000 yuan. The mortality rate for the client is 0.017 , and what is the probability of the insurance company will deficit in this year?
You are a risk manager of a school bus company in Hong Kong, your boss owns over 1,000 school buses. During COVID 19, almost all the school buses parked in no covered car park every day because students no need to be back to school. Your boss is considering a partial retention program for physical losses to the school buses. a) Identify the factors that your company should consider before it adopts a retention program for physical damage losses to school buses. b) If a retention program is adopted, what are the various methods you can use to pay for physical damage losses to school buses? c) Identify two risk-control measures that could be used in your company’s retention program for physical damage losses
According to the Institute of Internal Auditors, risk is a combination of the probability of an event and its consequence and that consequences can range from positive to negative True or False?
A5

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