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Write down the linear program that you could solve, to find the median m. Then put this LP in the form:

Write down the linear program that you could solve, to find the median m. Then put this LP in the form:

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the problem of calculating the median m of the following numbers: 4,5,9.

(a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables.

(b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.) 

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