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Unformatted text preview: Lecture 2/8/08 Introduction to Prescriptive Models Review of Differential Calculus Introduction to Prescriptive Models • We all face decision about how to use limited resources such as: Natural Resources Time Money Labor Mathematical Programming... • MP is a field of operations research that finds the optimal way of using limited resources to achieve certain objectives • a.k.a. Optimization Types of Mathematical Programming 1.Nonlinear Programming Solution requires calculus based methods 2.Linear Programming Constraints and objective are linear functions of decision variables Exact solutions can be found in most cases Objective or constraints are nonlinear functions of decision variables. . Review of Calculus 1. Limits The equation lim f(x) = c x → a implies that as x approaches a,f(x) approaches the value of c. Review of Calculus 1. Limits h h h 3 lim Find 615 Page #1, Problem 2 h + → Review of Calculus 1. Limits h if h 3 h h h 3 Soln h h h 3 lim Find 615 Page #1, Problem 2 2 h ≠ + = + + → Review of Calculus 1. Limits 3 h 3 lim h h h 3 lim h if h 3 h h h 3 Soln h h h 3 lim Find 615 Page #1, Problem h 2 h 2 2 h = + = + ∴ ≠ + = + + → → → Review of Calculus 2. Continuity A function f(x) is continuous at a point a if lim f(x) = f(a) x...
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 Spring '08
 Patton
 Calculus, Derivative, Mathematical analysis, Calculus Review, Prescriptive Models Review of Differential Calculus

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