TUTORIAL 2 Linear Programming - Minimisation Special cases Simplex maximisation 1. Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client‚ Innis has been authorised to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs
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does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables? b. Compute SSxx‚ SSyy‚ and SSxy. c. Find the least squares regression line by choosing appropriate dependent and independent variables based on your answer in part a. d. Interpret the meaning of the values of a and b calculated in part c. e. Plot the scatter diagram and the regression line. f. Calculate r and r2 and explain what they mean. g. Predict the monthly
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5. Results 4-7 5.1 Straightness 4-6 5.2 Flatness 7 6. Discussion 8-10 6.1 Straightness 8 6.2 Flatness 8-9 6.3 Closing error 9-10 7. Conclusion 10 8. References 10 9. Appendices 11-15 9.1 Appendix A-Procedure 11-13 9.2 Appendix B-Certificates of calibration 14-15 1. Summary The aim of this experiment was to examine three methods for determining the straightness and flatness of a horizontal granite surface. The first method was manual and the other two (Least Squares method
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the demand for the product. The consultant should also describe the methodology of a multiple linear regression and its purpose in estimating a demand function. The consultant should then run a multiple linear regression in linear and multiplicative forms based on the data provided by the company and report on the estimated result. They will have to evaluate the estimated demand equations both in linear and multiplicative forms‚ select the one‚ which can best describe the consumption. The consultant
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follows: (a) a 1% change in X is associated with a β1 % change in Y. (b) a 1% change in X is associated with a change in Y of 0.01 β1 . (c) a change in X by one unit is associated with a β1 100% change in Y. (d) a change in X by one unit is associated with a β1 change in Y. (ii) The interpretation of the slope coefficient in the model ln(Yi ) = β0 + β1 Xi + ui is as follows: (a) a 1% change in X is associated with a β1 % change in Y. (b) a change in X by one unit is associated with a 100β1 % change in
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profits are unbounded. T . MULTIPLE CHOICE – clearly indicate your response. 1. For a linear programming problem‚ assume that a given resource has not been fully used. In other words‚ the slack value associated with that resource constraint is positive. We can conclude that the shadow price associated with that constraint: A. will have a positive value. B. will have a negative value. C. will have a value of zero. D. could have positive‚ negative‚ or zero value.
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Bibliography: [1] The MathWorks Inc. MATLAB 7.0 (R14SP2). The MathWorks Inc.‚ 2005. [2] S. J. Chapman. MATLAB Programming for Engineers. Thomson‚ 2004. [3] C. B. Moler. Numerical Computing with MATLAB. Siam‚ 2004. [4] C. F. Van Loan. Introduction to Scientific Computing. Prentice Hall‚ 1997. [5] D. J. Higham and N. J. Higham. MATLAB Guide. Siam‚ second edition edition‚ 2005. [6] K. R. [7] A. Gilat. MATLAB: An
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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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Q2. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming. (Steps involved in LPP-4‚ Example-3 Advantages of LPP-3) 10 marks Answer. Steps of formulating Linear Programming Problem (LPP) The following steps are involved to formulate LPP : Step 1 : Identify the decision variables of the problem. Q3. a. What is degeneracy in transportation problem? How it can be resolved? b. Solve the following transportation
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Econometrics 41 (1989) 205-235. North-Holland TESTING INEQUALITY CONSTRAINTS IN LINEAR ECONOMETRIC MODELS Frank A. WOLAK* Stanford Received lJniversi[v‚ February Stunford‚ CA 94305‚ tiSA 1986‚ final version received July 1988 This paper develops three asymptotically equivalent tests for examining the validity of imposing linear inequality restrictions on the parameters of linear econometric models. First we consider the model .v = X/3 + e. where r is N(O‚8)‚ and the
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