are x1 ≥0‚ x2 ≥0 Maximize the profit function: p = 3x1 + 5x2 2. What are the advantages of Linear programming techniques? Ans. Advantages— 1. The linear programming technique helps to make the best possible use of available productive resources (such as time‚ labour‚ machines etc.) 2. It improves the quality of decisions. The individual who makes use of linear programming methods becomes more objective than subjective. 3. It also helps in providing better tools for
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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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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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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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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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(1981). “On the Deployment of Health Resources in Rural Valle Del Cauca‚ Colombia.” TIMS Studies in the Management Sciences 17‚ 331-359. Hogan‚ K.‚ and C. ReVelle (1986). "Concepts and Applications of Backup Coverage." Management Science 32‚ 1434-1444. Plane‚ D. R.‚ and T.E. Hendrick (1974). “Mathematical programming and the location of fire companies for the Denver fire department‚” Management Scinec Report Series‚ University of Colorado‚ Bolder‚ Colorado. (also published in Operations Research).
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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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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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S.) Elton Mayo (U.S) & L.H.C Tippett (England) 1940s - Multidisciplinary team approaches to complex system problems Simplex method of linear programming Operations research groups (England) and George B. Dantzig (U.S.) 1950-60s - Extensive development of operations research tools Simulation‚ waiting-line theory‚ decision theory‚ mathematical programming‚ project Many researchers in the U.S. and Western Europe
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