MOD6_283-284 - 72106 MOD06 GGS 3/30/05 2:49 PM Page 283 M O...

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283 T EACHING S UGGESTIONS Teaching Suggestion M6.1 : Why Discuss Calculus? Many of the quantitative models are derived with the help of cal- culus. The economic order quantity (EOQ) model is one example. Nonlinear programming often uses calculus in Fnding the optimal solution to a problem. Teaching Suggestion M6.2 : Graphical Presentation Aids in Understanding Maxima and Minima. When discussing the maximum and minimum values for a func- tion, it is helpful to draw a graph and illustrate the problem. Since the Frst derivative gives the slope of a tangent line, when this is set equal to 0, the result is a point where the tangent line has a slope of 0. This means that the tangent line is a horizontal line. Looking at a horizontal tangent line makes it clear that the point must be a minimum, maximum, or point of in±ection. S OLUTIONS TO D ISCUSSION Q UESTIONS M6-1. The slope of a straight line is found by choosing any two points on the line and dividing the change in Y by the change in X.
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MOD6_283-284 - 72106 MOD06 GGS 3/30/05 2:49 PM Page 283 M O...

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