# hw5 - Math 171A: Linear Programming Instructor: Philip E....

This preview shows pages 1–2. Sign up to view the full content.

Math 171A: Linear Programming Instructor: Philip E. Gill Winter Quarter 2011 Homework Assignment #5 Due Friday February 11, 2011 Starred exercises require the use of Matlab . Exercise 5.1. * Consider the set of inequality constraints Ax b , where A = 1 1 0 1 1 3 0 1 1 0 6 1 and b = 4 3 6 6 1 18 . (a) Given the point ¯ x = (5 2 ) T and the direction p = ( 1 1 ) T , ±nd the step σ i along p to each constraint a T i x b i . For each constraint, determine if ¯ x is feasible and state if a positive step moves towards the feasible half-space or away from the feasible half-space. (b) Given the feasible point ¯ x = (2 4 ) T and direction p = ( 1 1 ) T , determine the constraints active at ¯ x and compute the maximum positive feasible step that can be taken along p .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## hw5 - Math 171A: Linear Programming Instructor: Philip E....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online