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 2 b, x 2 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.)

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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 2 b, x 2 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.)
Transcribed Image Text: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 2 b, x 2 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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