OEM DMOR Homework 2

# OEM DMOR Homework 2 - OEM DMOR Homework#2 Due Friday...

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OEM DMOR Homework #2 Due Friday, September 21 st (by midnight) Model the following problems and display the optimal solution you obtain from Solver. You do not need to turn in your Excel files. Question 1. We are trying to measure airplane fuel consumption, f , as a function of distance traveled, d , and cruising altitude, a . We have 8 data points, given as follows: Observation f i d i a i 1 1100 17 22 2 1420 25 22 3 1900 29 35 4 1840 33 34 5 2000 36 30 6 2300 47 35 7 2640 53 39 8 2850 60 41 Part a: One engineer believes that we can write fuel consumption as a linear function of distance and altitude, i.e., if we’re planning a flight with distance D and cruising altitude A , our fuel consumed should be p 1 D + p 2 A , for some values p 1 and p 2 . Our problem is to determine the values of p 1 and p 2 that minimize the absolute value of errors predicted by this formula. That is, choose values of p 1 and p 2 that minimize: |1100 – 17 p 1 – 22 p 2 | + |1420 – 25 p 1 – 22 p 2 | + … + |2850 – 60

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OEM DMOR Homework 2 - OEM DMOR Homework#2 Due Friday...

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