QUESTION 5Supposing Petromin intends to build another oil refinery in PNG apart from theexisting 2 small oil refineries (refer to question 2 above). The alternatives areto either build a big refinery, medium refinery, small refinery or no refinery atall. It has forecast the demand for its oil against the 4 alterative as shown inthe table below.AlternativesBuild largerefineryBuild mediumrefineryBuild smallrefineryNo refineryHigh demand650000150000700000OutcomesModeratedemand543000100000400000Low demand32500065000200000Undertake a decision analysis. Specifically, apply the maximax, maximin,Laplace and minimax (regret) approaches. Interpret your results.

Mathematic models of decision-making help businesses take the correct decision for their operational…

Answered: Undertake a decision analysis.…

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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

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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
Construct a decision tree for this problem. What is the recommended decision if the agency opinion is not used? What is the expected value? What is the expected value of perfect information? What is Hale’s optimal decision strategy assuming the agency’s information is used? What is the expected value of the agency’s information? Is the agency’s information worth the $5000 fee? What is the maximum that Hale should be willing to pay for the information? What is the recommended decision?
Develop a decision analysis formulation of this problem by identifying the decision alternatives, state of nature, and the payoff table.
How to write a problem formulation?
The 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 = î
A manufacturing company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars). State of Nature Decision Low Alternative Demand $1 Medium Demand $2 High Demand 53 Manufacture, d -5 55 115 Purchase, d₂ 60 85 The state-of-nature probabilities are P(s₁) = 0.35, P(52) = 0.35, and P(53) = 0.30. (a) Use a decision tree to recommend a decision. The best decision is to purchase the component part. (b) Use EVPI to determine whether the company should attempt to obtain a better estimate of demand, assuming the estimate would come at no further cost. EVPI = 9 The EVPI suggests that the company should consider an attempt to obtain a better estimate of demand. (c) A test market study of the potential demand for the product is expected to report either a favorable (F) or…
An electronics factory operates on four production lines: laptops, mobiles, desktop computers, smart boards, and there were three cases of demand (weak, medium, and high), and the matrix of returns was as follows: Laptops Mobiles Risk Desktop Computers Smart Boards High 40 45 35 30 Economic state Medium 25 15 30 20 1. The problem presented above is decision-making under Certainty Uncertainty Weak 10 5 -10 -5 Save All Answers Save and Submit
Outline and discuss the elements of a probabilistic decision model.List the main shortcomings of this approach to decision making.
GENERATE THE DECISION VARIABLE SOLUTION AND GENERATE A SENSITIVITY REPORT CASE 1. Julia's Food Booth Julia Robertson is a senior at Tech, and she's investigating different ways to finance her final year at school. She is considering leasing a food booth outside the Tech stadium at home football games. Tech sells out every home game, and Julia knows, from attending the games herself, that everyone eats a lot of food. She has to pay $1,000 per game for a booth, and the booths are not very large. Vendors can sell either food or drinks on Tech property, but not both. Only the Tech athletic department concession stands can sell both inside the stadium. She thinks slices of cheese pizza, hot dogs, and barbecue sandwiches are the most popular food items among fans and so these are the items she would sell. Most food items are sold during the hour before the game starts and during half time; thus it will not be possible for Julia to prepare the food while she is selling it. She must prepare…
Need answer fast - In a decision problem under uncertainty where Return-On-Investment (ROI) is the objective pursued, valid decision criteria are (check all that applies) (a) Maximin Regret (b) Minimin (c) Maximax (d) Minimax.
State the differences between decision making under certainty, under risk, and under uncertainty.
Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The Chardonnay grapes would be used to produce a dry Chardonnay wine, and the Riesling grapes would be used to produce a semidry Riesling wine. It takes approximately four years from the time of planting before new grapes can be harvested. This length of time creates a great deal of uncertainty concerning future demand and makes the decision concerning the type of grapes to plant difficult. Three possibilities are being considered: Chardonnay grapes only; Riesling grapes only; and both Chardonnay and Riesling grapes. Seneca management decided that for planning purposes it would be adequate to consider only two demand possibilities for each type of wine: strong or weak. With two possibilities for each type of wine it was necessary to assess four probabilities. With the help of some forecasts in…

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Undertake a decision analysis. Specifically, apply the maximax, maximin, Laplace and minimax (regret) approaches. Interpret your results.