Product (units) A 2000 B 500 C 1200 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However‚ due to varying defect percentages of each product on each machine‚ the unit costs of the products vary depending on the machine used. Machine capacities for the next week‚ and the unit costs‚ are as follows: Capacity Machine (units) 1 1500 2 1500 3 1000 Product Machine A B C 1 $1.00 $1.20 $0.90
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a=0.004 b=0.203 c=-6.428 Thus we come up with this equation: Y= (0.004x X2) + 0.203xX -6.428 To make the equation more realistic we can change the X and Y variables into: The X variable into “V” for Speed The Y variable into “S” for Breaking distance S= (0.004x V2) + 0.203VS -6.428 If we drive this through the calculator and plot the graph we obtain this parabola However we can find other equations that can be derived with these values to obtain similar results: Linear equations:
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5. INTRODUCTION TO LINEAR PROGRAMMING (LP) Learning Objectives 1. Obtain an overview of the kinds of problems linear programming has been used to solve. 2. Learn how to develop linear programming models for simple problems. 3. Be able to identify the special features of a model that make it a linear programming model. 4. Learn how to solve two variable linear programming models by the graphical solution procedure. 5. Understand the importance of extreme points in
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------------------------------------------------- Applications [edit]Linear independence As mentioned above‚ the determinant of a matrix (with real or complex entries‚ say) is zero if and only if the column vectors of the matrix are linearly dependent. Thus‚ determinants can be used to characterize linearly dependent vectors. For example‚ given two linearly independent vectors v1‚ v2 in R3‚ a third vector v3 lies in the plane spanned by the former two vectors exactly if the determinant of the
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probability that i) The contestant wins all the three prizes. ii) Only one selected box contains prize. (b) Explain the rolling of a fair die and then flipping of a fair coin with the help of tree diagram. Q.2 (a) How can we differentiate between continuous and discrete random variables. Explain with the help of examples. (b) Let X be a random variable having normal distribution with mean 48 and standard deviation 10. Then find [pic]. Q.3 (a) Compute the
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DES”. To examine what influence individuals’ decisions on donations‚ the linear regression model respond = β0 + β1 resplast + β2 avggift + β3 propresp + β4 mailsyear +u is used. For hypothesis-testing questions‚ please always present hypotheses‚ test statistic and its distribution under the null‚ decision rule and conclusion. a) Why the model is known as a linear probability model (LPM)? What is the meaning of β1? b) Suppose that MLR.1-4 hold for the model when all variables are correctly
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9/20/2011 RBI- has been a pretty important and valuable statistic…however recently the RBI has been becoming more and more discredited. 9/22/2011 How We Know What Isn’t So 1. Misperception of Random Events - Hot hand fallacy – Most statistical analysis shows that it’s not true. The evidence shows that the hot hand idea is false and that each shot is independent from the past shot. -Ex: Checked the statistics of the Philadelphia 76ers 1980 season and there was no correlation between
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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 same manufacturing
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cope with demand fluctuations by: (a) Changing the size of the work force by hiring and firing‚ thus allowing changes in the production rate. Excessive use of hiring and firing may limited by union regulations and may create severe labor problems. (b) Varying the production rate by introducing overtime and/or idle time or outside
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Semester 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
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