For a "Dual minimization problem" with optimal point equal to (x1 = 5, x2 = 1) andbest Z = 56, its respective "Primal maximization problem " would havePlease choose the option that would best fit the empty space above.Its respective best Z also equal to 56.Shadow prices equal to 1 (x1) and 5 (x2), respectively.Shadow prices exactly the same as the shadow prices obtained in the Primal problem.Exactly the same optimal point.None of the above

Given- Optimal point equal to (x1=5, x2=1)Z=56

Answered: For a "Dual minimization problem" with…

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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For the remaining questions, consider the following problem description: An oil company is considering exploring new well sites S₁, S2, ..., S10 with respective costs C1, C2, C10. And in particular they want to find the least-cost selection of 5 out of the 10 possible sites. The binary decision variables x₁,x2,..., X10 denote the decision to explore the corresponding site.
Devise a solution for the problem under each of the four criteria of decisions under uncertainty.
Do the following problems using either TreePlan A student is deciding which scholarships (out of two) to accept. The first scholarship is worth $10,000 but carries the condition that recipients cannot accept another other forms of income (such as other scholarships). The second scholarship is awarded in a competition, where this student has a 50% chance of earning $7,000, a 40% chance of earning $10,000, and a 10% chance of earning $15,000. The student must inform the administrator of the first scholarship whether she will be accepting their offer today. A. Develop a decision tree to determine which scholarship this student should accept (using our normal decision criteria). B. Under what circumstance might the student accept the other scholarship?
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Daniel Grady is the financial advisor for a number of professional athletes. An analysis of the long-term goals for many of these athletes has resulted in a recommendation to purchase stocks with some of their income that is set aside for investments. Five stocks have been identified as having very favorable expectations for future performance. Although the expected return is important in these investments, the risk, as measured by the beta of the stock, is also important. (A high value of beta indicates that the stock has a relatively high risk.) The expected return and the betas for five stocks are as follows: Stock 1 2 3 4 5 Expected Return (%) 11.0 9.0 6.5 15.0 13.0 Beta 1.20 0.85 0.55 1.40 1.25 Daniel would like to minimize the beta of the stock portfolio (calculated using a weighted average of the amounts put into the different stocks) while maintaining an expected return of at least 11%. Since future conditions may change, Daniel…
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Lucresia the witch owns a magic basket and black eggs. It is observed that every minute the numbers of black eggs in the magic basket doubles. Her dark power is optimized if and only if, by 12 midnight her basket will be full of black eggs. What is the probability that she will experience optimal power when at 11:59pm her basket is half-full of black eggs?
Problem 2 Suppose that for years East Campus' short-run Phillips Curve was such that each 1 percentage point increase in its unemployment rate was associated with a 2-percentage point decline in its inflation rate. Then, during several recent years, the short-run pattern changed such that its inflation rate rose by 3 percentage points for every 1 percentage point drop in its unemployment rate. Graphically, did East Campus' Phillips Curve shift upward or did it shift downward?
Martin owns an older home, which requires minor renovations. However, the neighborhood where Martin lives mostly includes newly constructed luxury homes. Why might Martin's home increase in value? Based on the principle of substitution, the value of Martin's house will equal the value of the newly constructed homes in the neighborhood. ○ The value of Martin's home will decrease due to the new competition in the neighborhood. Based on the principle of regression, the newly constructed homes in the neighborhood will increase the home values of the entire neighborhood. Based on the principle of progression, the newly constructed homes in the neighborhood will increase the home values of the entire neighborhood.
9. The East Chester Tribune must decide whether to publish a Sunday edition. The publisher thinks the probability is 0.6 that a Sunday edition would be a success and 0.4 that it would be a failure. If it is a success, she will gain $100,000. If it is a failure, she will lose $80,000. a. Construct a decision tree corresponding to the problem, and use backward induction to solve the problem. (Assume that the publisher is risk-neutral.) b. List all forks in the decision tree you constructed; then indicate whether each is a decision fork or a chance fork and state why.
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