Target Competency:illustrate the Extreme Value TheoremSolve optimization problems STEM_BC11D-IIIF-3Direction: Answer the following optimization problems systematically, answeronly those question given to your class.Marking scheme:marks for illustration and or show of analysismarks for correct solution that leads to correct answer and presentationmark for correct answer including unitsmarks for timeliness of submission.(2) An offshore oil well located at a point W that is 5 km from the closest point Aon a straight shoreline. Oil is to be piped from W to a shore point B that is 8 kmfrom A by piping it on a straight line underwater from W to some shore point Pbetween A and B and then on to B via pipe along the shoreline. If the cost oflaying pipe is P10,000,000/km underwater and P5,000,000/km over land,where should the point P be located to minimize the cost of laying the pipe?

In this question, concept of maxima and minima is applied. Maxima and Minima The extrema of a…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Variable Type of variable Level of measurement (a)Temperature (in degrees Fahrenheit) Quantitative Categorical Nominal Ordinal Interval Ratio (b)Exchange on which a stock is traded (NYSE, AMEX, or other) Quantitative Categorical Nominal Ordinal Interval Ratio (c)Letter grade (A, B, C, D, or F) Quantitative Categorical Nominal Ordinal Interval Ratio
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