Concept explainers
a)
To determine: The minimum expected cost
Introduction: Expected monetary value is an anticipated value for an investment. The excepted monetary value is computed by multiplying every possible outcome by likelihood of each outcome will occur and summing the all values. Investors use expected monetary values to select the scenario that provides a desired outcome.
b.
To draw: A decision tree.
c.
To determine: The expected value of perfect information.
Expected value of perfect information (EVPI): It is the rate that a person is willing to pay to gain access to perfect information. A common area which uses expected value of perfect information is the healthcare economy. This value tries to evaluate the expected cost of the uncertainty, which can be interpreted as the expected value of perfect information.
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- What is the best decision alternative under Maximax criterion? (Provide complete decision table solution) DIHL Co. is a Danao-based logistics company owned by Engr. Donald H. Lalican. Anticipating the growing demand for delivery services, he developed a strategic plan for the year 2022. The options are to hire additional delivery crews in their Mandaue facility, construct a new facility in Talisay City, or subcontract Ohlala Move, a small- time company. A study conducted by the marketing department forecasted the following payoff values, which are summarized in the table below. The values are expressed as gains and alpha = 0.6. States of Nature Decision Alternatives Failure Low Moderate High Hire additional Drivers in Mandaue -450,000 -250,000 250,000 500,000 Construct a facility in Talisay -800,000 -400,000 300,000 700,000 Subcontracting Ohlala Move -100,000 -10,000 150,000 300,000 Hire Additional Drivers in Mandaue Construct a Facility in Talisay O Subcontracting Ohlala Move Both…arrow_forwardQuestion 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza. See data in the table which shows the gross revenues for the oil well that is found. Decision Drill $0 Abandon $0 Probability 0.3 Dry (D) Seismic Results No structure(N) Open(0) Closed (C) Reasonably good(G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure". The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza(B) Note that if the test result is "no structure" the company can sell the land to a developer for 50 m. otherwise (for the other results) it can abandon the drilling idea at no benefit to itself. $200 m $0 0.4 Dry(d) 0.7 0.2 0.1…arrow_forward7. Consider the following decision table, which Joe Blackburn has developed for Vanderbilt Enterprises: States of Nature Decision Alternatives Probability: 0.35 0.25 0.40 Low Medium High A $35 $80 $65 B $85 $50 $70 C $55 $70 $75 D $70 $85 $65 E $70 $75 $85 Part 2 The alternative that provides Blackburn the greatest expected monetary value (EMV LOADING... ) is ▼ D E A B C The EMV for this decision is $_______(enter your answer as a whole number).arrow_forward
- The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives. Decision Alternative State of Nature $1 d₁ d₂ (a) Suppose P(s₁) = 0.2 and P(5₂) = 0.8. What is the best decision using the expected value approach? The best decision is --?-- with an expected value of 12 $₂ 6 3 5 (b) Perform sensitivity analysis on the payoffs for decision alternative d₂. Assume the probabilities are as given in part (a), and find the range of payoffs under states of natures, and so that will keep the solution found in part (a) optimal. As long as the payoff for s₁ under d₁ is --?-- , then the solution found in part (a) will be optimal. then the solution found in part (a) will be optimal. As long as the payoff for s₂ under d₁ is --?-- Is the solution more sensitive to the payoff under state of nature s₁ or 5₂? O $₁ 0 5₂arrow_forwardA payoff table is given as: S1 S2 S3 D1 250 750 500 D2 300 -250 1200 D3 500 500 600 (a) What choice should be made by the optimistic decision maker? (b) What choice should be made by the conservative decision maker? (c) What decision should be made under minimal regret? (d) If the probabilities of d1, d2, and d3 are .2, .5, and .3, respectively, then what choice should be made under expected value?arrow_forwardThe following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. Decision Alternative If S1 d₁ d₂ States of Nature then ? $1 240 90 90 15 The probabilities for the states of nature are P(S₁) = 0.65, P(s₂) = 0.15, and P(s3) = 0.20. (a) What is the optimal decision strategy if perfect information were available? ; If S₂ then ? 90 65 ; If S3 then ? (b) What is the expected value for the decision strategy developed in part (a)? î (c) Using the expected value approach, what is the recommended decision without perfect information? What is its expected value? The recommended decision without perfect information is ? EV = (d) What is the expected value of perfect information? EVPI = îarrow_forward
- Develop a decision analysis formulation of this problem by identifying the decision alternatives, state of nature, and the payoff table.arrow_forwardReferring to the payoff table below answer the questions given below: State of Nature Decision Alternatives S1 S2 S2 S3 D1 7 4.5 5 2.5 D2 6 5 8 7 D3 4.5 5 5 5.5 D4 4 5 5.5 6.5 Construct decision tree for this problem Under the condition of uncertainty, what would be the recommended decision using the optimistic and pessimistic approaches?arrow_forwardCome up with a decision using each of the different criteria under conditions of uncertainty using the table below. The payoff values are expressed as LOSSES and alpha = 0.5 *a.) What is the best of the best payoff value? b.) Which decision alternative has the best of the worst payoff value?c.) Which decision alternative has the minimum payoff value of the maximum regret? (CHOOSE FROM THE CHOICES) -A,B,C -B, F, G -C,D,E -C, G, F -E, F, Garrow_forward
- Exhibit 20-2Below is a payoff table involving three states of nature and two decision alternatives. Decision States of Nature Alternative s1 s2 s3 A 80 45 –20 B 40 50 15 P(s1) = .1, P(s2) = .6, and P(s3) = .3.Refer to Exhibit 20-2. The expected value of the best alternative equals _____. a. 12 b. 38.5 c. 29 d. 105arrow_forwardThe following payoff table provides profits based on various possible decision alternatives and various levels of demand. ALTERNATIVE DEMAND LOW MEDIUM HIGH Alternative 1 40 80 150 Alternative 2 80 120 130 Alternative 3 100 100 100 a. Which alternative should be chosen using the equally likely decision criterion? b. Set-up the opportunity loss table. c. Which alternative should be chosen using the minimax regret criterion?arrow_forwardPls help ASAP for botharrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,