Methods of Optimization RFEI. Final exam 30.

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Questions final exam1. Methods of optimization - a discipline emerged as an independent area of ​​the coursea) the theory of probability and mathematical statisticsb) economic and mathematical methods and modelsc) Econometrics.2. What will happen with the efficiency E = P / 3E = if the result of a constant (P) costs (B) will increase three times?a) decrease the effectiveness of the secondb) does not change the effectiveness ofc) increase the efficiency of the latter.3. For what merits professor at Leningrad University Kantorovich received the Nobel Prize?a) proof of Fermat´s Last Theoremb) for the solution of the Poincaré conjecturec) for the development of the method of linear programming andeconomic models.4. Your capital increased by 5 times. By what percentage did you become richer?a) 400%b) 500%c) 250%.5. Your capital decreased 5 times. By what percentage did you become poorer?a) 40%b) 80%c) 25%.6. Your capital increased by 50%. How many times did you become richer?a) 1.5b) 0.5 timesc) 1.25 times.7. Your capital decreased by 50%. How many times did you become poorer?a) 0.5 timesb) 1.5c) 2 times.8. What percentage of 25 is less than 50?a) 40%.b) 50%c) 25%.9. What´s more: 5% of \$ 70 or 70% of the \$ 5?a) 5% of the \$ 70b) 70% of \$ 5c) they are equal.10. On what is one of the ways of solving the problem of finding the optimal size of a brigade of fishermen village "Rushes" Kursk region, considered in a lecture course?a) on a probabilistic methodb) on the task of the companyc) on the method of rectangles.11. Purely mathematical method for solving problems involves finding the company mnogoresursnoya) partialb) second-order derivativec) determining the integrals.*******etc.*********28. If the validation solutions for optimality(step 2) in the row of the objective function no negative elements, then it means thata) Find the optimum solutionb) a decision needs to be improvedc) function in the area of ​​feasible solutions of the problem is not limited.29. If the line of the objective function in the validationsolutions for optimality (step 2) is negative elements, then it means thata) a decision needs to be improvedb) Find the optimum solutionc) it is impossible to find an optimal solution.30. restates elements of the new simplex table permissive element X17 = -5. What needs to be done with the elements of the first column, except for elements X17?a) multiplied by the -1/5b) multiplied by (-1)c) multiply by 1/5