in the basis. 3. 3 surplus variables‚ 3 artificials‚ and 4 variables in the basis. 4. 2 surplus variables‚ 2 artificials‚ and 3 variables in the basis. 5. - 16. For obtaining the solution of dual of the following Linear Programming Problem‚ how many slack and/or surplus‚ and artificial variables are required? Maximize profit = $50X1 + $120X2 subject to 2X1 + 4X2 ≤ 80 3X1 + 1X2 ≤ 60 1. Two slack variables 3 2. Two surplus variables 3. Two
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Dependent Variable: TIX This model is a linear regression between ticket sales‚ Nobel‚ Yankees‚ Boston‚ double header‚ promotion and Kansas City. The inclusion of the variable explaining the games against Kansas City has increased the R square value to 0.770. This suggests that the ticket sales
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Research. Briefly 1 explain the techniques and tools of Operations Research. Operations Research Methodology Techniques and tools of Operations Research 2 5 10 5 a. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. b. Alpha Limited produces & sells two different products under the brand names black & white. The profit per unit on these products in Rs. 50 & Rs. 40 respectively. Both the products employ the
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table and plotting the data. The exploratory analysis was used to clean the data and determine factors to be used for the linear regression model. The cleaning of data involved removing inconsistent metrics like year/years‚ removing percentage signs an converting from factors to numeric for the purpose of regression analysis. Statistical Modelling A standard model of multiple linear regressions was built using the R software to check and determine the relationship between the outcome variable and the
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Attack Known plaintext attack Security Key size Diffusion and Confusion Conclusion References Hill Cipher Introduction Invented by Lester S. Hill in 1929‚ the Hill cipher is a polygraphic substitution cipher based on linear algebra. Hill used matrices and matrix multiplication to mix up the plaintext. To counter charges that his system was too complicated for day to day use‚ Hill constructed a cipher machine for his system using a series of geared wheels and chains
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SEMESTER 3 INDIAN INSTITUTE OF MANAGEMENTAND ENGINEERING CORPORATE LAWS $ SECRETARIAL PRACTICE PART 1 MARKS 80 Attempt any Four Q1 (A) How are the first directors of the company appointed? (B) What is the notice period required for a board meeting? Q2 (A) Can a company appoint managing director and manager simultaneously? (B) Is company allowed to appoint a part-time secretary instead of a Whole-time Secretary? Q3 (A) Who can fix the remuneration of auditors under
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income increases as well. Eventually‚ consumption levels off‚ as the increasing wealth means people spend their money on other meats instead of chicken. The correlation coefficient =.794‚ which means this does have a positive linear correlation. (1.2) Run a linear regression: Chicken price vs. consumption Chicken w/beef+pork+ beef Chicken consumption over time increases Chicken consumption=b0+b1*Income+b2*chicken price+b3*pork price+b4*beef price What’s the estimated
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Plenum‚ 1988. Pratt‚ J. W.‚ H. Raiffa‚ and R. Schlaifer. Introduction to Statistical Decision Theory. MIT Press‚ 1995. Raiffa‚ H. Decision Analysis. McGraw-Hill‚ 1997. Krieger‚ 1978. Science 36‚ no. 3 (March 1990): 269–273. Ignizio‚ J. Introduction to Linear Goal Programming. Sage‚ 1986. Keeney‚ R. L.‚ and H. Raiffa. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Cambridge‚ 1993. Saaty‚ T. Multicriteria Decision Making‚ 2d ed. RWS‚ 1996. Science 36‚ no. 3 (March 1990): 259–268. Saaty
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Personnel Scheduling at United Airlines 1. T. J. Holloran and J. E. Bryn‚ “United Airlines Station Manpower Planning System‚” Interfaces‚ 16(1): 39–50‚ Jan.–Feb. 1986. Despite unprecedented industry competition in 1983 and 1984‚ UNITED AIRLINES managed to achieve substantial growth with service to 48 new airports. In 1984‚ it became the only airline with service to cities in all 50 states. Its 1984 operating profit reached $564 million‚ with revenues of $6.2 billion‚ an increase of 6 percent
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time between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. A technician can contact on average 1.2 regular customers per hour and 1 new customer per hour. Develop a linear programming model that will enable HTS to allocate technician time between regular customers and new customers. Report the optimal solution. Management of High Tech Services (HTS) would like to develop a model that will help allocate its technician’s
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