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Let A E R³x7 and b E R³ be given by 3 9 -2 -7 6. -7 -5 7 A = 4 -10 4 -10 4 and b = -2 -10 -8 -4 -1 6 -1 -13 (a) Find a linear program that will compute a basic feasible point for the constraints (*) Ar = b and r > 0 (x E R") (b) Find a basic feasible point of (*) by solving the linear program in (a) with the MATLAB function linprog.

Let A E R³x7 and b E R³ be given by 3 9 -2 -7 6. -7 -5 7 A = 4 -10 4 -10 4 and b = -2 -10 -8 -4 -1 6 -1 -13 (a) Find a linear program that will compute a basic feasible point for the constraints (*) Ar = b and r > 0 (x E R") (b) Find a basic feasible point of (*) by solving the linear program in (a) with the MATLAB function linprog.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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I'm trying to solve this with matlab, currently my script for this is:

A = [ -7 -5 7 9 -2 -7 3; 4 -10 4 -10 6 0 4; -10 -8 -4 -1 6 -1 5];
b = [ -2 ; -2 ; -13 ];

and with a general solution input,

[x]=linprog(c,[ ],[ ],A,b,zeros(6,1),[ ])

However, I've only seen these problems where there is a C matrix involved also. Could you help confirm or help calculate how to find this third matrix involved in the linear program?

Let A € R3x7 and bE R³ be given by -21 9 -2 -7 –10 -7 -5 3 A = 4 -10 4 4 and b= -2 -10 -8 -4 -1 6 -1 13 (a) Find a linear program that will compute a basic feasible point for the constraints (*) Ax = b and x >0 (x € R*) (b) Find a basic feasible point of (*) by solving the linear program in (a) with the MATLAB function linprog.
Transcribed Image Text:Let A € R3x7 and bE R³ be given by -21 9 -2 -7 –10 -7 -5 3 A = 4 -10 4 4 and b= -2 -10 -8 -4 -1 6 -1 13 (a) Find a linear program that will compute a basic feasible point for the constraints (*) Ax = b and x >0 (x € R*) (b) Find a basic feasible point of (*) by solving the linear program in (a) with the MATLAB function linprog.
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