characteristics. [ 5 marks] b. Explain the nature of Operations Research and its limitations.[ 5 marks] 2. a. What are the essential characteristics of a linear programming model?[ 5 marks] b. Explain the graphical method of solving a LPP involving two variables.[ 5 marks] 3. a. Explain the simplex procedure to solve a linear programming problem. [ 5 marks] b. Explain the use of artificial variables in L.P [ 5 marks] 4. a. Explain the economic interpretation of dual variables. [ 5 marks]
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Time Elapsed | 59 minutes out of 1 hour. | Instructions | | Question 1 2 out of 2 points | | | Determining the production quantities of different products manufactured by a company based on resource constraints is a product mix linear programming problem. Answer | | | | | Selected Answer: | True | Correct Answer: | True | | | | | Question 2 0 out of 2 points | | | ____________ solutions are ones that satisfy all the constraints simultaneously.Answer | | | |
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FORECASTING Managers are always trying to reduce uncertainty and make better estimates of what will happen in the future; this is the main purpose of forecasting. Some firms use subjective methods‚ seat-of-the pants methods‚ intuition‚ and experience. There are also several quantitative techniques‚ moving averages‚ exponential smoothing‚ trend projections‚ and least squares regression analysis. Eight steps to forecasting: * Determine the use of the forecast—what objective are we trying to
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space or lot size. b) Decrease the money paid to employees. c) Refinance the loan at a lower rate. d) Charge more for your services. _____ 2) Which of the following is a valid objective function in linear programming? a) Max 5xy. b) Min 4x + 5y - (2/3)z. c) Max 4 x 2 + 6 Y 2. d) Min (x + y) / z. e) None of the above. ______3) The improvement in the
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1.48 4.5 - (1.32+0.36+0.85+0.65) = 1.32 0.3 5. 80‚000 pounds of grade "A" tomatoes are available at 8.5 cents per pound. (provided by the Vice president of operations) 6. Sale manager re-computes the marginal profits (Exhibit 3). Linear Programming Solutions (a) How to use the crop of 3‚000‚000 lbs. of tomatoes? (b) Whether to purchase an additional 80‚000 lbs. of A-grade tomatoes? Part (a) Formulation: WA = lbs. of A-grade tomatoes in whole. WB = lbs. of B-grade tomatoes in whole
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------------------------------------------------------------------------------------------------------------ Week 1 Introduction Ch.1 Module 1 ------------------------------------------------------------------------------------------------------------ Week 2 Linear Programming Ch. 2 Module 2 HW#1 (LP) ------------------------------------------------------------------------------------------------------------ Week 3 LP: Sensitivity Ch. 3 Module 3 HW#2 Analysis and Computer Solution ------------
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Graphical and Simplex Methods of Linear Programming The graphical method is the more popular method to use because they are easy to use and understand. Working with only a few variables at a time they allow operations managers to compare projected demand to existing capacity. The graphical method is a trial and error approach that can be easily done by a manager or even a clerical staff. Since it is trial and error though‚ it does not necessarily generate the optimal plan. One downside of this
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SY 2011-2012 Ms. derpina derp TABLE OF CONTENTS TITLE PAGE ACKNOWLEDGEMENT ii TOPICS Simple Discount 1 Simple Interest 2 Four types of Interest available 3 Compounded Amount and Compound Interest 4 Linear Programming Problems * Maximization 6 * Minimization 8 Forecasting by Trend Projection 10 Acknowledgement I would like to thank God for guiding and giving me motivation to do this math research paper; my friends for answering
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Lecture 6 GOAL PROGRAMMING INTRODUCTION In many important real-world decision-making situations‚ it may not be feasible‚ or desirable to reduce all the goals of an organization into b. single objective. For example‚ instead of focusing only on optimizing profits‚ the organization may simultaneously be interested in maintaining a stable work force‚ increasing its share of market and limiting price increases. Goal programming is an extension of linear or nonlinear programming involving an objective
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IMSE2008 Operational Research Techniques Problem Set: Linear Programming Due: Monday‚ October 20‚ 2014 Please submit to the general office of the IMSE department (Ms Kate Lee HW8-17) on Oct 20 Late submission will be discounted by 20% on a daily basis Please e-mail me msong@hku.hk if you have any questions Problem 1. Work through the simplex method step by step to demonstrate that the following problem is unbounded. (5 marks) max 5x1 + x2 + 3x3 + 4x4 s.t. x1 – 2x2 + 4x3
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