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    MODULE - 1 Linear Equations Algebra 5 Notes LINEAR EQUATIONS You have learnt about basic concept of a variable and a constant. You have also learnt about algebraic exprssions, polynomials and their zeroes. We come across many situations such as six added to twice a number...
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  • Linear Progra`Mming
    3 Introduction to Linear Programming The development of linear programming has been ranked among the most important scientific advances of the mid-20th century, and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Today it is a standard tool that has saved ma...
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  • Linear Programming
    Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis, we saw that the shadow-price interpretation of the optimal simplex multipliers is a very useful concept. First, these shadow prices give us directly the marginal worth of an additional unit of any of the...
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  • Linear Programming
    Z00_REND1011_11_SE_MOD7 PP2.QXD 2/21/11 12:39 PM Page 1 7 MODULE Linear Programming: The Simplex Method LEARNING OBJECTIVES After completing this chapter, students will be able to: 1. Convert LP constraints to equalities with slack, surplus, and artificial variables....
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